Determine the intercepts of the line. Do not round your answers. y+1=3(x − 4) x-intercept: (_,_) y-intercept: (_,_)​

Answers

Answer 1

The intercepts of the line are x intercept: (4.3,0) y-intercept: (0,-13)​

How to determine the intercepts of the line

From the question, we have the following parameters that can be used in our computation:

y+1=3(x − 4)

To calculate the x-intercept, we set y to 0

So, we have the following representation

0+1=3(x − 4)

This gives

x - 4 = 1/3

So, we have

x = 4.33

To calculate the y-intercept, we set x to 0

So, we have the following representation

y + 1 = 3(0 − 4)

This gives

y + 1 = -12

So, we have

y = -13

Read more about linear function at

https://brainly.com/question/15602982

#SPJ1


Related Questions

Discuss THREE ways on how bad behaviour in sport in a country can
dampen nation building.
(3 x 2) C
Fynlain
ba
ode
f
othie
in.
enorts can encourage positive​

Answers

Answer:

Step-by-step explanation:

chicken

the food marketing institute shows that of households spend more than per week on groceries. assume the population proportion is and a simple random sample of households will be selected from the population. use the z-table.

Answers

a) The sampling distribution of p can be approximated as a normal distribution with mean μp = .17 and standard deviation σp = .0203.

b) The probability that the sample proportion will be within ±.02 of the population proportion is 0.6778

In statistics, sampling distribution plays a crucial role in estimating the parameters of a population. The sampling distribution helps us to understand the probability distribution of sample statistics that we obtain by taking random samples from a population.

a) In this case, we are interested in the proportion of households that spend more than $100 per week on groceries, denoted by p. We know that the population proportion is p = .17, and a sample of 800 households will be selected from the population.

The central limit theorem states that if the sample size is large enough (in this case, n = 800), then the sampling distribution of p will be approximately normal with a mean of p and a standard deviation of:

σp = √(p(1-p)/n)

where p is the population proportion, and n is the sample size. Plugging in the values, we get:

σp = √(.17(1-.17)/800) = .0203

b) Now, we want to find the probability that the sample proportion will be within ±.02 of the population proportion. That is, we want to find P(.15 ≤ p ≤ .19).

To calculate this probability, we need to standardize the distribution using the z-score formula:

z = (p - μp) / σp

Plugging in the values, we get:

z = (.15 - .17) / .0203 = -0.9867

z = (.19 - .17) / .0203 = 0.9867

Using a standard normal distribution table or calculator, we can find the probabilities corresponding to these z-scores:

P(z ≤ -0.9867) = 0.1611

P(z ≤ 0.9867) = 0.8389

Therefore, the probability that the sample proportion will be within ±.02 of the population proportion is:

P(.15 ≤ p ≤ .19) = P(z ≤ 0.9867) - P(z ≤ -0.9867) = 0.8389 - 0.1611 = 0.6778

To know more about proportion here.

https://brainly.com/question/30657439

#SPJ4

Complete Question:

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population.

a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries.

b. What is the probability that the sample proportion will be within ±.02 of the population proportion?

E) Find the area of a rectangular field measuring 27.04 m by 20.21 m.
i) How much would it cost to spray insecticide on the field if the rate is $0.70 per square metre? Give your answer to the nearest dollar.

Answers


27.04 x 20.21
=546.48

546.48 divided by 0.70 =
$780.68

a lamppost, cab, bent at point a after a storm. the tip of the lamppost touched the ground at point c, as shown below: triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet. what is the height, in feet, of the portion ab of the lamppost?

Answers

The height of the portion AB of the lamppost is approximately 27.8 feet, as calculated using the tangent function with angle 55 degrees and length BC 20 feet.

Based on the given information, we can use trigonometry to find the height of the portion AB of the lamppost.

Let's call the height of AB "x". We can use the tangent function to solve for x:

tan(55) = x/20

Multiplying both sides by 20:

x = 20 tan(55)

Using a calculator, we get:

x ≈ 27.8 feet

Therefore,

The height of the portion AB of the lamppost is approximately 27.8 feet.

Learn more about trigonometric ratios here brainly.com/question/25122825

#SPJ4

Answer: 20 tan 55

Step-by-step explanation:

took test and got it right

Does the set of even integers have the density property? Explain.​

Answers

Answer:

 No

Step-by-step explanation:

You want to know if the set of even integers has the density property.

Density property

The density property states that for any two elements of a set, there are additional elements of the set between them.

There are no even integers between any two consecutive even integers, so the set of even integers does not have the density property.

This circle has a diameter of 40 centimeters. What is the radius?

Answers

Answer: 20 centimeters

Step-by-step explanation:

The radius is half the diameter so then the radius is 20 centimeters.

The distance between the center of the circle to its circumference is the radius. The diameter is always double the radius. Hence, the formula is derived by dividing the diameter by 2.

40/2 = 20cm.

How much is 5$? please I need help because I just dont know how much is it im so confused!!!!

Answers

5 dollars equals 500 pennies, once 5 dollars times 100 equals 500. What's 5 dollars in cents? 5 dollars equals 500 cents, once 5 dollars times 100 equals 500.

Convince Me! Use Patterns and Structure Sue knitted a scarf for her
friend June that was also 4 feet long. After a month, the length of June's
scarf could be represented by the expression 0.5 x 4. How did the length
of June's scarf change? Explain.

Answers

The length of June's scarf change using patterns and structure is 4.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given that;

The length of friend june scarf= 4 feet

The representation of length of june after a month= 0.5x4

Now,

Sue knitted a scarf for her friend June that was also 4 feet long and, after a month, the length of June's scarf is given by the expression 3/3 x 4, to know how did the length of June's scarf change you must perform the following calculation;

Month; 1 = 4

Month; 2 = 3/3 x 4 = 1 x 4 = 4

Therefore, by algebra the the answer will be 4.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ9

Team % of Volume Items processed per person per hour Picking 100% 150 Packing Group A 35% 105 Packing Group B 65% 70 Shipping 100% 175 How many items will be processed by Packing Group B in order to ship a total of 168,000 units for the shift? 46 70 84,000 109,200 168,000

Answers

By using shipping volume, Packing Group B needs to process 168,000 units in order to ship a total of 168,000 units for the shift.

To solve this problem, we need to work backwards from the shipping volume and use the given processing rates to determine the required processing volumes for each stage of the process.

First, we can calculate the total number of hours of packing and shipping required to process 168,000 units:

168,000 units ÷ 175 units per person per hour = 960 hours

Next, we can determine the volume of items that need to be packed by Group B in order to ship this total volume. Since Group B processes 65% of the volume, we can set up the following equation:

0.65x = 168,000 units

where x is the total volume of items processed by all packing groups. Solving for x, we get:

x = 168,000 units ÷ 0.65 = 258,461.54 units

So the total volume of items processed by all packing groups is approximately 258,461.54 units. We can now use the given processing rates to determine the required processing volumes for each stage:

Picking: 100% of 258,461.54 units = 258,461.54 units

Packing Group A: 35% of 258,461.54 units = 90,461.54 units

Packing Group B: 65% of 258,461.54 units = 168,000 units

Therefore, Packing Group B needs to process 168,000 units in order to ship a total of 168,000 units for the shift. The answer is 168,000.

To know more about shipping volume:

https://brainly.com/question/13867051

#SPJ4

____The given question is incorrect, the correct question is given below:

Team % of Volume Items processed per person per hour Picking 100% 150 Packing Group A 35% 105 Packing Group B 65% 70 Shipping 100% 175 How many items will be processed by Packing Group B in order to ship a total of 168,000 units for the shift?

46,  

70,  

84,000,  

109,200,  

168,000

Fill in the blank. When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a _____ . When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a ____.

Answers

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a Z-Score.

In statistics, each mathematical formula and each element has an internationally recognised name. This is to ensure that everyone in the world understands what every researcher has to say in every letter. A statistic that tells the number of standard deviations a data value is above or below the mean is called a z-score. And its formula is, Z = (X − μ)/σ

where, μ--> population mean,

σ --> population standard deviation and

x --> the raw-score.

Hence, when a data value is converted to a standardized scale, new value, Z-Score is representing the number of standard deviations the data value lies from the mean.

To learn more about Z-Score, refer:

https://brainly.com/question/25638875

#SPJ4

based on the following experiment, answer the questions below. a health psychologist wants to test the hypothesis that yellow hospital rooms will shorten the recovery time for surgical patients when compared to recovery times of patients in standard white hospital rooms. half of the patients are randomly assigned to yellow rooms, the other half to white rooms. the number of days until recovery is noted for each what is the independent variable? group patients assigned to yellow rooms what is the dependent variable? group of patients assigned to white rooms which group is the control group? yellow hospital rooms which group is the experimental group? group of patients assigned to white rooms

Answers

The number of days until recovery is noted for each patient is option d) Experimental group the half in yellow rooms

Health psychologists are interested in understanding the factors that can impact a patient's recovery time following a surgical procedure. One hypothesis that they may want to test is whether the color of the hospital room can influence recovery time.

In experimental research, we often manipulate one variable to see if it has an effect on another variable. The variable that is being manipulated is called the independent variable, while the variable that is being measured is called the dependent variable. In this case, the independent variable is the color of the hospital room, and the dependent variable is the length of recovery time.

To test the hypothesis that yellow hospital rooms will shorten recovery time, the researchers randomly assign half of the patients to yellow rooms and the other half to white rooms. By randomly assigning the patients to the different conditions, the researchers can be sure that any differences in recovery time between the two groups are not due to pre-existing differences between the patients.

In order to make sure that the color of the room is the only thing that is different between the two groups, the researchers use a control group. The control group is the group of patients who are placed in white rooms. By comparing the recovery time of the patients in the yellow room group to the recovery time of the patients in the white room group, the researchers can determine whether the color of the room had an effect on recovery time.

Finally, the group of patients who are placed in the yellow rooms is called the experimental group. This is because they are the group that is being exposed to the independent variable (the yellow color of the room). By comparing the recovery time of the experimental group to the recovery time of the control group, the researchers can determine whether the yellow color of the room had an effect on recovery time.

To know more about variable here.

https://brainly.com/question/17344045

#SPJ4

Complete Question:

A health psychologist wants to test the hypothesis that yellow hospital rooms will shorten the recovery time for surgical patients when compared to recovery times of patients in standard white hospital rooms. Half of the patients are randomly assigned to yellow rooms, the other half to white rooms. The number of days until recovery is noted for each patient.

1a) Independent variable color of the walls

1b) Dependent variable the length of recovery time

1c) Control group the half in white rooms

1d) Experimental group the half in yellow rooms

please help! I'm struggling a lot with this domain and range.

Answers

Answers:  Choices A, D, and E

=====================================================

Explanation:

The domain is the set of allowed x inputs.

In this case, we can plug in anything but x = 2 because of the vertical asymptote here.

This means the domain is the interval notation [tex](-\infty,2) \cup (2,\infty)[/tex] that notation basically says "start with the entire real number line. Then poke a hole, or remove, 2 from the number line".

------------

The range is the set of possible y outputs. In this case, the domain and range lead to the same interval notation since we're kicking out "2" each time. This time we focus on the horizontal asymptote. The curve gets closer and closer to these dashed lines but never actually reaches them.

Since [tex](-\infty,2) \cup (2,\infty)[/tex] is one of the possible ways to represent the range, one of the answers is choice A.

The interval notation [tex](-\infty,2) \cup (2,\infty)[/tex] is too vague because it's not clear if we're talking about the domain or range. The notation [tex]\left\{\text{y}|\text{y} \in \text{R}, \ \text{y} \ne 2\right\}[/tex] is more specific. It says "y is a real number such that it cannot equal 2". In other words "y can be anything but 2". This tells us that choice D is another answer.

So either y < 2 or y > 2 which represents us being below the horizontal asymptote or above it respectively.

The third and final answer is choice E.

2x+2y=4;8x-2y=-4
Solve for linear equations by ELIMINATION. Show your work.

Answers

The solution to the system of given linear equations is x = 0 and y = 2.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations is given in the question, as follows:

2x + 2y = 4  .....(i)

8x - 2y = -4  .....(ii)

To eliminate y, add the two equations together:

2x + 8x = 4 - 4

10x = 0

Solve for x:

x = 0

Now that we have x, we can substitute it back into one of the original equations to find y:

2x + 2y = 4

2(0) + 2y = 4

2y = 4

y = 4/2

y = 2

Thus, the solution is x = 0 and y = 2.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ1

A bakery is selling breakfast platters. A platter of 12 bagels costs $10.20. Additionally, it costs $4.65 for a gallon of coffee.
What is the slope of this situation?
© 10.20
© 4.65
© 0.85
O 0.12

Answers

The slope of this situation is equal to: C. 0.85.

What is the slope-intercept form?

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.

How to calculate the slope of a line?

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = 10.20/12

Slope (m) = 0.85.

Read more on slope here: brainly.com/question/3493733

#SPJ1

. Find the coordinates of the center and the measure of the radius for a circle whose equation is
(x-8)2 + (y+4)² =12 (3 points)

Answers

Answer:

Radius is 2√3 units

Center is (8,-4)

Step-by-step explanation:

Compared to the standard form equation of a circle, [tex](x-h)^2+(y-k)^2=r^2[/tex], then the radius would be [tex]r=\sqrt{12}=2\sqrt{3}[/tex] and the center would be [tex](h,k)\rightarrow(8,-4)[/tex].

If 15−−√×a 15 × a is a rational number, what could be the value of a a ? Explain your reasoning

Answers

For the given rational number √15 × a =  15 × a the value of 'a' is equal to 0 or ( 1 / 15 ).

The expression is written as :

√15 × a =  15 × a

The above expression is a rational number :

Squaring both the side of the expression we get,

⇒ 15 × a =  ( 15 × a )²

⇒  15 × a =  225 × a²

Divide by 15 on the both the side of the equation we get,

⇒ a = 15 a²

⇒ 15a² - a = 0

⇒ a( 15a - 1 ) = 0

⇒ a = 0 or 15a - 1 =0

⇒ a = 0 or a = 1 / 15

Therefore, the value of a for the given rational number is equal to

0 or ( 1 / 15 ).

The above question is incomplete , the complete question is:

If √15 × a =  15 × a is a rational number, what could be the value of  a ? Explain your reasoning.

Learn more about rational number here

brainly.com/question/24540810

#SPJ4

three pieces of wood measuring 70m, 105m and 175m long have to be divided to planks of equal length what is the greatest possible length of each plank

Answers

Answer:

35 m

Step-by-step explanation:

I will assume the goal is not to waste any wood.  We need to find a common length that will allow each piece of wood to be divided into whole pieces with nothing left over.  The shortest plank is 70 m, but that length will cause a loss of 35 m on the 105m plank, and also 35m on the 175m plank after two 70m sections have been cut off (175 - 140 = 35).

Looking at the actual lengths, one might spot that they are all evenly divisible by 35.  See the table below.  The numbers under "35" are the result of the length divided by 35.  They are all whole numbers.  We can cut each plank into 35m sections and have none left over.

Length (m) 35 (factor)

  70                  2 planks

  105          3 planks

  175          5 planks

This will result in 10 35m planks.  

No need to plank me.

6. A triangle has two side lengths
3 feet. Select all the measures that could be the
length of the third side.
3 ft
9.2 ft
4.6 ft
8 ft
7.4 ft
2 ft

Answers

The length of the third side of the triangle will be 2 feet. Then the correct option is F.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Any two parts of a triangle can be added together to have a length larger than the third side.

A triangle has two side lengths of 3 feet. Let 'x' be the third side.

By the theorem, the inequality is given as,

x < 3

The length of the third side of the triangle will be 2 feet. Then the correct option is F.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

TIME REMAINING
55:32
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

y = y equals StartFraction x Over 14 squared EndFraction.
y = y equals StartFraction x Over 7 squared EndFraction.
y = 7x
y = 14x

Answers

Answer:

y = 7x

Step-by-step explanation:

it is simple : x times how much is y ?

2 × ? = 14

? = 7

control

4 × ? = 28

? = 7

identical, so it is correct, and y = 7x is the answer.

Tomas wants to make a line plot of the
distances he rode his bike last week. He
rode the following distances in miles:
3,4 1/2,6, 3, 5 1/2, 3, 5 1/2
Make a line plot for the distances
Tomas rode.

Answers

The line plot is attached based on the information given.

What is a line plot?

A line plot is a graph that shows data as dots or checkmarks above a number line to indicate how frequently each value occurs. Only numerical, discrete data, not continuous data, is shown using line graphs. Line plots categorize the data by showing how often each value appears on a number line. Small data sets make these graphs easy to make, and the revealed frequency patterns allow for interpretation.

Each mark on the line plot represents one of the distances Tomas rode. The number on the horizontal axis represents the day of the week and the vertical axis represents the distance in miles. The line plot shows that on most days, Tomas rode between 3 and 5 1/2 miles.

Learn more about line plot on:

https://brainly.com/question/21169288

#SPJ1

some identical cylinders each have a radius of 5cm and a length of 3cm. helena has enough paint to cover 2500cm squared. how many of these cylinders can helena paint completely​

Answers

Answer:

Helena can paint approximately 32 of these cylinders complete

Step-by-step explanation:

The surface area of a cylinder can be found using the formula:

Surface Area = 2πr(r + h), where r is the radius and h is the height (or length) of the cylinder.

For a cylinder with a radius of 5 cm and a length of 3 cm, the surface area is:

Surface Area = 2π x 5 x (5 + 3) = 2π x 5 x 8 = 80π cm²

So, the surface area of one cylinder is 80π cm². To find the number of cylinders that Helena can paint, we can divide her total paint coverage by the surface area of one cylinder:

2500 cm² ÷ 80π cm² = 31.83 (approximately 32 cylinders).

So, Helena can paint approximately 32 of these cylinders completel

refer to the previous two questions: what is the probability that only one of the two failure modes will occur over the life of the building? (answer correct to 3 decimal places) hint: start by thinking components of the event failure by only one mode (what options does that imply?)

Answers

Probability that only one of the two failure modes will occur over the life of the building is 0.11

The probability for failure of building

P (Failure) = P(C U E)

                 =  P(C) -  P(E) - P(CUE) - P(C|E)P(E)

Substitute 0.05 for P(C) 0.1 for P(E) and 0.2 for PC/E) in equation to find the probability for failure.

P(failure) = P(CUE)

                        = 0.05 +0.1 -0.2 x 0.1

                        = 0.13

Probability that only one of the two failure modes will occur over the life of the building

P(CE U EC) = P(ČE) + P(EC)

                   = P(C U E) - P(EC)]

                   = P(CUE) - P(C|C)P(E)

Substitute 0.13 for P(CUE) 0.1 for P(E) and 0.2 for P(CIE) in equation (3) to find P(CE UĒC).

P(CE U EC) - 0.13 - (0.2 x 0.1)

= 0.11

Hence,

Probability that only one of two failure modes will occur over the life of the building is 0.11.

Learn more about probability here brainly.com/question/11234923

#SPJ4

The length of a rectangular parking lot is 4 yards more than 5 times the width. Find the area of the parking lot.

Answers

The required expression by distributing the w on the right side, we get: A = 5w^2 + 4w

Explain about Rectangle?

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

According to question:

Let's call the width of the parking lot "w". According to the problem, the length is 4 yards more than 5 times the width, so we can write the length as 5w + 4.

The formula for the area of a rectangle is A = length × width. Substituting in our values, we get:

A = (5w + 4) × w

Simplifying this expression by distributing the w on the right side, we get:

A = 5w^2 + 4w

This is the formula for the area of the rectangular parking lot in terms of its width. To find the actual area, we need to know the width. Once we have that, we can plug it into the formula and solve for A.

To know more about Area visit:

brainly.com/question/13194650

#SPJ1

Mel uses one fourth of a yard of ribbon to make a hair bow. How many hair bows can Mel make with 1 yard of ribbon?

Answers

Answer:

it's simple 4 that is 100% the correct answer

Identify the point from the equation: y + 3 = 2(x - 4)

Answers

Answer:

y-2x=11

Step-by-step explanation:

y+3=2(x-4)

y+3=2x-8

y-2x=-3-8

y-2x=-11

There are 4 grams of sugar in 1/2 of a liter of a new sports drink. How much sugar is in 3⁄4 of a liter of the sports drink?

Answers

There are 6 grams of sugar in 3/4 of a liter of the sports drink. when There are 4 grams of sugar in 1/2 of a liter of a new sports drink.

To find out how much sugar is in 3/4 of a liter of the sports drink, we need to first calculate the total amount of sugar in 1 liter of the drink. Since there are 4 grams of sugar in 1/2 of a liter, then in 1 liter, there would be 4 x 2 = 8 grams of sugar.

Now that we know there are 8 grams of sugar in 1 liter, we can calculate how much sugar there is in 3/4 of a liter: 8 x (3/4) = 6 grams.

Therefore, there are 6 grams of sugar in 3/4 of a liter of the sports drink.

To learn more about grams:

https://brainly.com/question/11260752

#SPJ4

rk
d not
4 Fill in the gaps in the following paragraphs to summarise the
information about the learners' masses.
4.1
The boys' masses range from a minimum of ..... to a maximum
of ..... kg.
4.2
The girls' masses range from a minimum of ..... to a maximum
of ..... kg.
5 Organise the data into the following frequency table.
Mass interval Tally
Tally
Number of female
learners who have a
mass in this interval
40 - 49,9 kg
50 - 59,9 kg
60 - 69,9 kg
70-79,9 kg
80 - 89,9 kg
Number of male
learners who have a
mass in this interval
6 Compare the frequencies for the female and male learners and
describe any differences that you notice.

Answers

4.1. The boys' masses range from a minimum of 32 kg to a maximum of 82 kg.

4.2. The girls' masses range from a minimum of 35 kg to a maximum of 67 kg.

What are the responses to other questions?

5: To create the frequency table, we need to tally the number of male and female learners in each mass interval. Here are the tallies:

Mass interval Tally

40 - 49,9 kg |||| (4 females)

50 - 59,9 kg ||||||| (7 females)

60 - 69,9 kg ||||| (5 females)

70-79,9 kg || (2 males)

80 - 89,9 kg || (2 males)

Note: The vertical lines represent the tallies, with each line representing one learner.

6: By looking at the frequency table, we can compare the number of male and female learners in each mass interval. We can see that there are more female learners in the lower mass intervals (40-49.9 kg, 50-59.9 kg, and 60-69.9 kg) compared to male learners. On the other hand, there are more male learners in the higher mass intervals (70-79.9 kg and 80-89.9 kg) compared to female learners

learn more about frequency table: https://brainly.com/question/16148316

#SPJ1

a quadratic function is represented by g(x)=-2(x-5)^2+17 what is the equation for this function in standard form
PLS HELPP

Answers

Answer:

g(x) = - 2x² + 20x - 33

---------------------------

Given function:

g(x) = -2(x - 5)² + 17

This is the vertex form and the standard form is:

y = ax² + bx + c

Convert the given equation into standard form:

g(x) = - 2(x - 5)² + 17 =          - 2(x² - 10x + 25) + 17 =          - 2x² + 20x - 50 + 17 =          - 2x² + 20x - 33

Answer:

The standard form of the given quadratic function is:

[tex]g(x)=-2x^2+20x-33[/tex]

Step-by-step explanation:

The standard form of a quadratic function is f(x) = ax² + bx + c.

To write the given function in standard form, expand the brackets:

[tex]\implies g(x)=-2(x-5)(x-5)+17[/tex]

[tex]\implies g(x)=-2(x^2-10x+25)+17[/tex]

Apply the distributive law:  m(a + b + c) = ma + mb + mc

[tex]\implies g(x)=-2x^2+20x-50+17[/tex]

Add the numbers:  -50 + 17 = -33

[tex]\implies g(x)=-2x^2+20x-33[/tex]

A theater sells adult and children tickets. Adult tickets sell for $10 and child sells for $5. Yesterday they sold off 50 tickets and made $40. How many adult and child tickets did the theater sell?

Answers

The theater sold 30 adult tickets and 20 children tickets.

What is a linear equation?

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

Let, The number of adult tickets be 'x' and the number of children tickets be 'y'.

Therefore, 10x + 5y = 400...(i) and x + y = 50...(ii)×10 ⇒ 10x + 10y = 500...(iii)

Now, Subtracting equation (i) from equation (iii) we have,

5y = 100.

y = 20, and hence x = 30.

So, They have sold 30 adult tickets and 20 children tickets.

learn more about linear equations here :

https://brainly.com/question/29739212

#SPJ1

Consider the system of equations -2x + 3y = -5 and 3x - 4y = 6.

-Describe two different ways to solve the system by elimination. Select ALL that apply.


A) Multiply the first equation by 4, the second equation by 3, and subtract to eliminate y,

B) Multiply the first equation by 3, the second equation by 2, and subtract to eliminate x

c) Multiply the first equation by 3, the second equation by 2, and add to eliminate x.

D) Multiply the first equation by 3, the second equation by -2, and add to eliminate x

E) Multiply the first equation by 4, the second equation by 3, and add to eliminate y

F) Multiply the first equation by -4, the second equation by 3, and add to eliminate y

(Write below which of the letter answer(s) it is)

Answers

Two ways of solving the system of equations are:

c) Multiply the first equation by 3, the second equation by 2, and add to eliminate x.E) Multiply the first equation by 4, the second equation by 3, and add to eliminate y

Which two ways can be used to solve the system of equations?

Here we want to identify two ways of solving the system of equations:

-2x + 3y = -5

3x - 4y = 6

One way is using the elimination method, then the option E is true, if we multiply the first equation by 4 and the second by 3 and then we add the two equations, the variable y will be eliminated and we could solve the equation for x.

We also could eliminate the variable x, to do so, we need to multiply the first equation by 3 and the second by 2, and add the two equations.

Then option C is also true.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Other Questions
What is an equation of the line that passes through the points (-1,6) and (4,-4) Sarah rides her horse with a constant speed of 20 km/h. How far can she travel in 4 hours Maria's abuela gave her $2000.00 for her quinceaera under the condition that she had to deposit it in a savings account for 42 months. How much interest will she have if the account earns 7.8% per annum simple interest? In the context of the skills that managers should possess, which of the following is a difference between technical skills and conceptual skills?a. Technical skills can be summarized as the ability to work well with others, whereas conceptual skills can be summarized as the capability of assessing how motivated employees are to interact with superiors.b. Unlike conceptual skills, technical skills increase in importance as managers rise through the management hierarchy.c. Unlike managers with conceptual skills, managers with technical skills can recognize how a company fits into or is affected by its external environment.d. Technical skills are the specialized procedures and knowledge required to get a job done, whereas conceptual skills are the ability to understand how the different parts of a company affect each other. True or False An information system consists of hardware, software, data, procedures, and the people who interact with and are impacted by the system. Chemistry reaction types quiz Please help me with this question please which gainsharing plan bases incentives on the ratio between labor costs and sales value of production (svop)? question 5 options: improshare rucker plan referral plan scanlon plan which of the following is not true? a) an american put option is always worth less than the present value of the strike price b) a european put option is always worth less than the present value of the strike price c) a european call option is always worth less than the stock price d) an american call option is always worth less than the stock price this object, belonging to moses, is described in exodus as having the the temple at ain dara (with the giant footprints) is located in what present-day country? group of answer choices ability to transform into a snake. the nurse is providing anticipatory guidance to a parent of an 8-year-old girl whose weight is 65 lb (29.5 kg) and height is 50.5 in (128.3 cm). which statement by the parent demonstrates the need for further teaching? Answers for this photo? in its first year of business, laker corporation had sales of $2,170,000 and cost of goods sold of $1,285,000. laker expects returns in the following year to equal 6% of sales and 6% of cost of goods sold. the adjusting entry or entries to record the expected sales returns is (are): What is 2 thirds of 42 what will happen to the freshwater fish if you place it in sea water? Neutrophils remove invading microorganisms through a process called options:a. phagocytosis. b. passive transport.c. pinocytosis. d. facilitated diffusion. What Does the Fourth Amendment Mean? Two numbers are co-prime if they do not have any prime factors in common. List allpossible numbers that are co-primes with the following numbers that are < 50:(a) 390(b) 210(c) 49335 Which economic factor has most likely determined the lowered price of a toy?Answers:A. ConsumptionB. ScarcityC. Lower DemandD. Increased Demand A letter to your fa uncle telling him about you wish to Spend your next holiday with his family