Answers
The y-coordinate is 2 when x=0.
What is a slope?The slope or gradient of the line is a mathematical term used to describe the direction and steepness of a line. The ratio of the change in the y coordinate to the change in the x coordinate is known as the slope of a line. Δ y and Δx are the net changes in the y and x coordinates, respectively.
The slope of a line is calculated as the proportion of the rise to the run, or the increasing divide by the run. The coordinate plane, it describes the slope of the line. Finding the slope between two different points and calculating the slope of a line are similar tasks.
The slope-intercept form is y= mx +c
Here, given that slope m=2
Let us consider that the above equation is passing through (2,2)
2=2(2)+c
c=2
y=2x+2
Therefore, when x=0,
y=2(0)+2
y=2
Therefore, the y-coordinate is 2 when x=0
To know more about slope, visit:
https://brainly.com/question/3605446
#SPJ13
Related Questions
The Jackson family just bought 15-packs of Lacroix at Costco. On average, their family drinks about eight cans a week after how many weeks will there be only five cans left? Show how you figured it out.
Answers
If the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks
Total number of packs they bought = 15 pack
The average cans they finish each week = 8
Number of cans left = 5 cans
Number of cans used = Total number of packs they bought - Number of cans left =
= 15 - 5
= 10 cans
After how many weeks will there be only five cans left = Number of cans used ÷ The average cans they finish each week
Here we have to use the division
Substitute the values in the equation
After how many weeks will there be only five cans left = 10 /8
= 1.25 weeks
Hence, if the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks
Learn more about division here
brainly.com/question/21416852
#SPJ1
the hypotenuse of a triangle is 4x one of the legs . the other leg in 3(sqrt 5 units. find the length of the hypotenus?
Answers
The length of the hypotenuse is 4√3 units.
Given that hypotenuse is 4 times the length of one leg of a triangle. So here we can assume that length to be x. Hence the hypotenuse length is 4x. To calculate hypotenuse we have the formula a²=b² + c², where b and c are two sides of the triangle and a is the hypotenuse. If we put these values in the formula we get,
16x² = x² + (3√5)²
15x² = 45
x² = 3
x = ±√3
Since length cannot be negative, the final value of x = √3, and since the length of the hypotenuse was 4x, the final value of the hypotenuse is 4√3.
To learn more about triangles and hypotenuses,
https://brainly.com/question/24107292
#SPJ4
One type of plant root splits 4 times while growing in the ground. The number of new roots after each split can be modeled by the function f(x)=3x, where x is the number of times the root splits. What is the domain of f(x)? CLEAR CHECK All positive integers All positive integers less than or equal to 4 All integers All positive integers greater than or equal to 4
Answers
The domain of the function represented as .f(x) is (b) All positive integers less than or equal to 4
How to determine the representation of the domain?The equation of the function is given as
f(x) = 3x
Where
x = Number of splits
f(x) = number of new roots in each split
From the question, we have
Splits = 4
This means that the maximum value of x is 4
The other values of x would be
x = 1, 2, 3, 4
This can be represented as
0 ≤ x ≤ 4
The interpretation of the above notation is all positive values less than or equal to 4
Hence, the domain value is option (b)
Read more about domain at
https://brainly.com/question/2264373
#SPJ1
Mason is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Mason will earn $30 every time one of his songs is played in a commercial and he will earn $80 every time one of his songs is played in a movie. Mason earned a total of $470 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Mason's songs were played. Define the variables that you use to write the system.
Answers
Answer:
Get the roundend answer to 10
Step-by-step explanation:
Kelly grows potatoes.
She has 2500 kg of potatoes, correct to the nearest 10kg.
Kelly is going to put the potatoes into sacks.
Each sack will contain 12. 5 kg of potatoes.
Kelly assumes that 12. 5 kg is measured correct to the nearest 0. 1 kg.
(a) Does Kelly definitely have enough potatoes to fill 200 sacks?
You must show how you get your answer
Answers
Kelly fill 200 sacks with the weight of 2000 kg potatoes and in each sack, she can fill up to 12.5 kg of potatoes.
What is weight?The gravitational attraction of an item near the Earth or another celestial body toward the center of the body. The weight of an item is determined by its mass and the strength of the gravitational force. We use the following generic formula to compute weight: W = mg. Where 'W' is the object's weight,'m' is the object's mass, and 'g' is the acceleration due to gravity. The value of g on Earth is 9.8 m/s2. The most frequent definition of weight is the force imposed by gravity on a body.
Here,
weight of potatoes she has=2500 kg
weight of each sack that contain the potatoes=12.5 kg
with this, she can fill,
=2500/12.5
=200 sacks
Kelly fills 200 sacks with 2000 kg of potatoes, and each sack can hold up to 12.5 kg of potatoes.
To know more about weights,
https://brainly.com/question/28021669
#SPJ4
Find quotation 1 3/4 divided by 3
Please help I think it’s 7/12
Answers
The quotation for division of 7/4 that is 1 3/4 divided by 3 will be 7/12 by the rule of division that is a/b÷c/d=a/b*d/c.
What is division?A number is divided in division, which is a straightforward operation. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. A division is the division of a given sum into equal parts. For instance, we could split a group of 20 people into four groups of 5, five groups of 4, and so on. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. To determine how many equal groups are created or how many people are in each group, division is the primary objective.
Here,
1 3/4=7/4
7/4÷3/1,
a/b÷c/d=a/b*d/c
7/4*1/3=7/12
According to the division rule a/b÷c/d=a/b*d/c, the quotation for 7/4, which is 1 3/4 divided by 3, will be 7/12.
To know more about division,
https://brainly.com/question/21416852?referrer=searchResults
#SPJ13
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Sidney wants to take group fitness classes at a nearby gym, but needs to start by selecting a
membership plan. With the first membership plan, Sidney can pay $36 per month, plus $2 for
each group class she attends. Alternately, she can get the second membership plan and pay
$35 per month plus $3 per class. If Sidney attends a certain number of classes in a month,
the two membership plans end up costing the same total amount. How many classes per
month is that? What is that total amount?
If Sidney attends
Submit
classes per month, each membership plan costs $
Answers
The system of equation to describe the situation below is x= 1.
What is equation?
an equation is a formula that is to expresses the equality of two expressions, by the connecting them with in the equals sign.
The process of equting one thing with another is called the equation of science with objective.
Sol- Based on the given condition-
The formulate is- 36+2x=35+3x
Rearrange variables to the left side of the equation
2x-3x=35-36
Combine like terms
-x= 35-36
Calculate the sum or difference
-x=-1
Devide both side of the equation by the coefficient of variable we get
X=1
To know more about equation click-
https://brainly.com/question/2972832
#SPJ13
(2x-5)(x+2) write the area as a product and a sum
Answers
Answer:
2x^2 -x -10 is the answer as a product
3x-3 as a sum
Step-by-step explanation:
Assuming (2x-5)(x+2)=0
Let's distribute.
(2x^2+4x)(-5x-10)=0
Then combine like terms
2x^2 -x -10 is the answer as a product
3x-3 as a sum
find the general terms of the sequence 4 8 12 16
Answers
Answer: The general term is an = 4n
Step-by-step explanation:
Is x + 1/y = 7 a linear equation?
[tex]x + \frac{1}{y} = 7[/tex]
Answers
The equation ; x + 1/y = 7 as given in the task content is a linear equation.
What are linear equations?It follows from the task content that the equation given in the task content is to be identified as linear or not.
Since the given equation is; x + 1/y = 7;
It is noteworthy to know that a linear equation is one in which case, the greatest exponent of the variable is; 1.
Therefore, since the greatest exponent of a variable in the given equation is 1; it follows that the equation is a linear equation.
Hence, the equation given in the task content; x + 1/y = 7 is a linear equation.
Read more on linear equations;
https://brainly.com/question/2030026
#SPJ1
al would take six hours to paint a wall working alone, while bob would take four hours to paint it, and chuck would take three hours to paint it. al starts painting at noon. at 1:00 pm, bob joins him. chuck joins them at 1:30 pm. at what time do they finish painting the wall?
Answers
At 2:20 pm they finish the paint of wall.
Given, Al took 6 hours to paint a wall.
Bob took 4 hours and Chuck took 3 hours for same.
Let the work of painting wall is = LCM(6,4,3) = 12 Units
So in 1 hour Al works = 12/6 = 2 units
In 1 hour Bob works = 12/4 = 3 units
In 1 hour Chuck works = 12/3 = 4 units
In 1 hour, Al and Bob together do = 2+3 = 5 units
In 1 hour, all three together do = 2+3+4 = 9 units
Now from noon i.e. 12 to 1.00 pm Al works alone.
So 2 units of work is done.
From 1 pm to 1.30 pm, Al and Bob work together.
In 30 minutes i.e. ½ hour Al and Bob did = (1/2)*5 = 5/2 units
From 1.30 pm they all three work together.
Now the remaining work is = 12-(2+5/2) = 12-9/2 = 15/2 units
So they complete rest in = (15/2)/9 = 5/6 hours = 50 minutes
Hence the time of finishing the work = 1.30 + 50 minutes = 2.20 pm.
To know more about Time refer to:
https://brainly.com/question/26046491
#SPJ4
if a seed is planted, it has a 95% chance of growing into a healthy plant. if 9 seeds are planted, what is the probability that exactly 3 don't grow?
Answers
If 9 seeds are planted, what is the probability that exactly 3 don't grow will be 1/5832000 as 5% chance are there that plant will not grow.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
The chances of seed to be not growing is 1–0.95 =0.05.
For 3 seeds not to grow being simultaneous occurring events have the probability = 0.05×0.05x0.05=0.000125
As 9 seeds being planted the probability of selecting 1 out of 9 is (1/9).
So for 3 mutual occurring case is (1/9)×(1/9)x(1/9)= 1/729
So the probability will be (1/729)×1/8000=1/58,32,000
The likelihood that exactly 3 seeds out of 9 will not germinate is 1/5832000, or 5%, so there is a chance that the plant won't grow.
To know more about probability,
https://brainly.com/question/14210034?referrer=searchResults
#SPJ4
To rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $5.80 per hour. The math club wants to spend less than $72.20 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for .
Answers
The possible amount of time for which they could rent the meeting room is 1, 2, and 3 hours.
In the question,
It is given that,
Reservation fee is $49.
Additional fee is $5.80 per hour.
The math club can spend maximum of $72.20.
The inequality will be:
49 + 5.8*t < 72.20
5.8*t < 23.2
t < 4
Hence, the possible amount of time for which they could rent the meeting room is 1, 2, and 3 hrs.
Learn more about calculating possible amount of time here
https://brainly.com/question/28782955
#SPJ1
What does the y-intercept represent in the context of the problem?
the total cost at 8 visits
Total cost at 12 visits
the number of visits at $0 total cost
the total cost at 0 visits
PLEASE HELP!!!!
Answers
Answer:
D
Step-by-step explanation:
The equation of the line is y = 2x + 8
To find the y intercept we make x=0
When x=0 y=8
if y is total cost and x is number of visits then at zero visits (x=0) the total cost is 8, which is what you would find using choice D
Answer:
D) the total cost at 0 visits--------------------------------
The y-intercept is (0, 8)The x-coordinate, number of visits ⇒ x = 0, zero visits,The y-coordinate, total cost ⇒ y = 8, total cost is $8.It represents the cost with zero visits, likely the membership cost, therefore the correct choice is D.
Please help me with this!!!
Answers
The Probability of an odd number = 0.5.
What is Probability?
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using probability, we can calculate everything from the possibility of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. The formula for computing probabilities in equiprobable sample spaces, the probability of the complementary event, etc., as well as the likelihood of two occurrences coming together, are essential to understand in order to properly appreciate this field of mathematics.
In the given question, we have:
The odd numbers on the given spin are 1,3,5,7 and 9;
So, The number of odd numbers is 6;
That is, n(odd) = 6;
and,
Total number of Spin = 12;
So, The probability of an odd number = [tex]\frac{odd number}{total number}[/tex]
The probability of an odd number = [tex]\frac{6}{12}[/tex]
Hence, The Probability of an odd number = 0.5.
To learn more about Probability, visit:
brainly.com/question/24188569
#SPJ13
Alfred begins collecting model cars. He buys 3 new model cars every week. Is the number of cars he owns proportional to the number of weeks that have passed since he started his collection?
Answers
Answer:yes
Step-by-step explanation:
for every week he gets 3 cars so it can only incre ment by 3. (1,3) (2,6) (3,9) and so on.
which one would be the correct answer?
Answers
3x²-2x+5 is the other factor of the above polynomial (6x³-x²+8x+5) other than (2x+1).
Describe a polynomial.In mathematics, a polynomial is an equation made up of coefficients and indeterminates, also referred to as variables. Only addition, subtraction, multiplication, and powers of positive-integer variables may be utilized to solve it. An example of a polynomial with one uncertain x is x² + 4x + 7.
Polynomials are commonly used in calculations in both mathematics and science. For instance, in the fundamental sciences of chemistry, physics, economics, and social science, they are used to define polynomial functions. They are also used in numerical analysis and calculus to approximate other functions. Simple word problems to complex scientific conundrums are all represented by polynomial equations. Polynomials are used in advanced mathematics.
To know more about polynomials, visit:
brainly.com/question/11536910
#SPJ13
Work out the length of x if one of the lengths is 9.7cm.Give your answer rounded to 3 significant figures.
Tysm if u can work this out correctly.
Answers
Considering the figure of a right angle triangle, the given length is the hypotenuse,. The unknown side x is calculated to be 6.86 cm
How to find xinformation given in the question
hypotenuse = 9.7 cm
opposite = x
adjacent = x
The problem is solved using the Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
opposite = adjacent
plugging the values as in the problem
let x be the required distance
9.7² = x² + x²
94.09 = 2x²
47.045 = x²
x² = 47.045
x = √47.045
x = 6.8589
x = 6.86 to 3 significant figures
side x is 6.86 cm
Learn more on Pythagoras theorem here:
https://brainly.com/question/29241066
#SPJ1
Decide whether each equation is true for all, one, or no values of x.
Answers
1. 3x + 9 = -4.5x + 20 ; This is true for one value of x.
2. 9(x + 3) = 9x + 12 ; This is true for no values of x.
3. 4(2x + 3) = 12 + 8x ; True for any values of x.
Given,
The equations;
1. 3x + 9 = -4.5x + 20
2. 9(x + 3) = 9x + 12
3. 4(2x + 3) = 12 + 8x
We have to find whether each equation is true for all, one or no values of x.
Here,
1. 3x + 9 = -4.5x + 20
Solve for x;
3x + 4.5x = 20 - 9
7.5x = 11
x = 11/7.5
x = 1.47
Then,
This is true for one value of x.
2. 9(x + 3) = 9x + 12
Solve using distributive property;
9x + 27 = 9x + 12
9x - 9x = 12 - 27
0 = -15
This is true for no values of x.
3. 4(2x + 3) = 12 + 8x
Use distributive property and solve;
8x + 12 = 12 + 8x
8x - 8x = 12 - 12
0 = 0
True for any values of x.
Learn more about values of x here;
https://brainly.com/question/29473237
#SPJ1
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
–4, –3, –2, –1, ...
Answers
Answer:
[tex]a_{n}[/tex] = n - 5
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
- 3 - (- 4) = - 2 - (- 3) = - 1 - (- 2) = 1
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 4 and d = 1 , then
[tex]a_{n}[/tex] = - 4 + 1 (n - 1) = - 4 + n - 1 = n - 5
a journalist for an automotive magazine wants to determine how the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; the maximum number of passengers; and its safety rating on a 5-point scale. what is the correct format for a multiple regression equation?
Answers
the correct format for a multiple regression equation is
ŷ= [tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex]
multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.
because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.
thus, ŷ=[tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex] is the multiple regression equation.
know more about multiple regression here: https://brainly.com/question/28167705
#SPJ4
Dakota found a vintage skateboard from the 1980s in her parents' garage. The owner of the local skate shop told her the skateboard is currently worth $380 and will increase in value by about 7% each year. Write an exponential equation in the form y=a(b)x that can model the skateboard's value, y, in x years. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = To the nearest dollar, how much will the skateboard be worth in 7 years?
Answers
1. An exponential equation modeling the skateboard's value, y, in x years is y = 380 x 1.07ˣ.
2. The value of the skateboard will be worth $610.28 in seven years.
What is an exponential equation?An exponential equation is a mathematical function that depicts an equation with variable exponents.
The exponential function is always written in the form of y = abˣ.
Where a = the constant or initial value, b = the continuous growth rate, and x or t = the time variable.
Y represents the value that we are looking for after the growth rate has been applied for several (t) years.
The current worth of the skateboard = $380
Annual increase = 7% = 0.07
Number of years = 7 years
Y = 380 x 1.07⁷
= 380 x 1.606
= 610.28
= $610.28
Thus, in seven years, using the exponential equation, the skateboard will be worth $610.28.
Learn more about exponential functions at https://brainly.com/question/12940982
#SPJ1
Complete the equation so that it has no solution.
-15x + 4x + 2-x=__x+3
Answers
Equation -15x + 4x + 2-x= -12x+3 has no solution.
Define equation.A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. The x + 4 = 12 equation states that the left and right sides of the equation are equal. A assertion that "this equals that" is what constitutes an equation.
Given,
Equation:
-15x + 4x + 2 - x = _x +3
For no solution, value of x on both sides should be equal,
So,
-15x + 4x - x
-12x
Value of x will be -12.
Equation -15x + 4x + 2-x= -12x+3 has no solution.
To learn more about equation, visit:
https://brainly.com/question/10413253
#SPJ13
If RS = 7, ST = 3x, and RT = x + 9, what is RT?
Answers
The required value of RT is 10 units when RS = 7, ST = 3x, and RT = x + 9.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment RT, where the length of line segment RT refers to the distance between its endpoints, R and T.
RS = 7, ST = 3x, and RT = x + 9
R______________S______________T
⇒ RT = RS + ST ....(i)
Substitute the values of RS = 7, ST = 3x, and RT = x + 9,
⇒ x + 9 = 7 + 3x
⇒ 3x - x = 9 - 7
⇒ 2x = 2
⇒ x = 1
Substitute the values of x = 1 in RT = x + 9
So RT = 1 + 9 = 10
Hence, the value of RT is 10 units.
Learn more about the line segment here:
brainly.com/question/25727583
#SPJ1
What are the roots of this polynomial? f(x) = (x+9)(x-9)(x+10)?
Answers
The solution for the given polynomial are x = -9, 9 and -10.
What is polynomial?
Polynomials are algebraic expressions that contain coefficients and variables. Variables are sometimes known as indeterminates. Mathematical operations like addition, subtraction, multiplication, and positive integer exponents can be performed on polynomial equations but division by variables cannot.
Given polynomial:
(x+9)(x-9)(x+10)
Equating it wit zero,
we get solutions as:
x = -9, 9, -10
To know more about polynomial, go to link
https://brainly.com/question/4142886
#SPJ13
HELP ME PLEASEEEEEEE
Answers
Answer:
[tex]{ \boxed{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}[/tex]
- \theta = 25°
- opposite = x
- hypotenuse = z
[tex]{ \tt{ \sin(25 \degree) = \frac{x}{z} }} \\ [/tex]
Answer: x/z
Step-by-step explanation:
sin25 uses soh from sohcahtoa
sin25 = opposite/hypotenuse = x/z
1. The measures of the angles in a triangle are in the extended ratio of 1:4:7. Find the measures of the angles.
i need help with my homework
Answers
Answer:
1 : 4 : 7
15 : 60 : 105
Step-by-step explanation:
1 + 4 + 7 = 12
180⁰ ÷ 12units = 15⁰
1 unit = 15⁰
4 units = 15⁰ × 4 = 60⁰
7 units = 15⁰ × 7 = 105⁰
2(1 + 2k)
Simplify the expression... HELP
Answers
Answer:
2+4K
Step-by-step explanation:
distribute the 2
2(1+2k)
2(1)+2(2k)
2+4K
Hopes this helps please mark brainliest
Hope this helps :)
26. Alex can complete a certain task in 10 hours. Working together, Alex and Eli can do it in 6 hours. How long will it take Eli alone to complete the task?
Answers
Eli will take 12 hours alone to complete the task.
What are distance word problems?Algebra word problems frequently take the form of distance word problems. They involve a situation in which you must determine the speed, distance, or duration of one or more objects' travels. Because one of the most well-known distance problems involves determining the precise moment when two trains traveling in opposite directions cross paths, these are frequently referred to as "train problems."distance = rate x timed = rtIn other words, the distance you traveled is equal to the time you spent driving multiplied by the speed you were traveling at.Acc to our question-
alex take 10 hrs to complete a workalex and eli both take 6 hours.distance = rate x timed = rtdistance = rate x timeeli will take 4 hrsHence,Eli will take 4 hrs.
learn more about distance word problems click here:
https://brainly.com/question/29030072
#SPJ13
Dan spends
34
of his wages on rent and
18 on food. If he makes £240 per week, how much money does he have left?
Answers
Dan has money left is £30.
Given:
Dan spends 3/4 of his wages on rent and 1/8 on food.
If he makes £240 per week.
Money left = 240 - 240* 3/4 - 240 * 1/8
= 240 - 60*3 - 240/8
= 240 - 180 - 30
= 60 - 30
= 30.
Therefore Dan has money left is £30.
Learn more about the money and spends here:
https://brainly.com/question/15463460
#SPJ1
