The transformation of the equation f(x) = -2|x + 1| + 5 is
Shift Left 1 units
Shift Up 5 units
Compress by a factor of 2
Reflect over x axis
Interpretation of the transformationsTransformation involves movements of image or object usually described in a cartesian plane
starting from |x| at the origin
|x + 1| is a shift to the left 1 unit
|x + 1| + 5 is a shift on the y axis, it represents a shift up 5 units
2|x + 1| + 5 is a vertical compression by a factor of 2
-2|x + 1| + 5 the negative sign shows reflection over x axis turning the graph over
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The variable y has a proportional relationship with x as suggested by the graph. Use the graph to find the constant of proportionality.
The relationship has a constant of proportionality of 37
How to determine the constant of proportionality?From the graph, we have the following points
x = 1 and y = 37
These points can be represented:
x = 1
y = 37
The above parameters can be represented as the following points
(x, y) = (1, 37)
The constant of proportionality of the points is then calculated as
k = y/x
Substitute the known values in the above equation
So, we have the following equation
k = 37/1
Evaluate the quotient
So, we have
k = 37
Hence, the constant of proportionality is 37
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Someone has the answer?
Find the value of x so that the function has the given value. j(x) = 3-x;j(x) = -5
The input value x in the function j(x) = 3-x as j(x) equals -5 is 8.
What is the value of x in the given function?A function is simply a relationship that maps one input to one output.
Given the function in the question;
j( x ) = 3 - xj( x ) = -5x = ?To determine the value x or input value, equate the function to -5 and solve for x.
j( x ) = 3 - x
j( x ) = -5
-5 = 3 - x
Add 5 to both sides
-5 + 5 = 3 + 5 - x
0 = 8 - x
Add x to both sides
0 + x = 8 - x + x
x = 8 - x + x
x = 8
Therefore, the value of x is 8.
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You are a prep cook in a restaurant. A particular
recipe uses 4 cups sugar. You only need to
make 1/3 of the normal amount. How many cups of sugar should you measure?
On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). A point is at (negative 3, 1).
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?
y – 1=Negative three-halves(x + 3)
y – 1=Negative two-thirds(x + 3)
y – 1= Two-thirds(x + 3)
y – 1= Three-halves(x + 3)
The equation of the line that is parallel to the given line and passes through the point (-3,1) is y - 1 = 3/2(x + 3)
The line is passing through (-2, -4) and (2, 2)
The slope of the line is change in y coordinate with respect to the change in x coordinate of the line
Slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values in the equation
Slope of the line = (2--4) / (2--2)
= 6/2
= 3/2
The point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
The point is given that (-3, 1)
The slope of the line = 3/2
because both are parallel lines
Substitute the both values in the equation
y - 1 = 3/2( x - (-3))
y - 1 = 3/2(x + 3)
Hence, the equation of the line that is parallel to the given line and passes through the point (-3,1) is y - 1 = 3/2(x + 3)
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Answer:
y – 1 = 3/2(x + 3)
Step-by-step explanation:
Using subsittuftion, which value of x makes this equation true? z+ ²/² = 1 0z=1/1 0 z=² 10 z=2/20 0 Z=!
Answer:
Step-by-step explanation:
Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:
X + Y = 10
X + Z = 20
+ Y + Z = 24
----------------
2X + 2Y + 2Z = 54
Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.
This won't always work when you're solving three equations in three unknowns, but it's a trick that shows up frequently enough on assignments, standardized tests, etc. that it's worth mentioning.
Explain how to find the distance between -2 and 3
on a number line.
The distance between -2 and 3 on a number line is 5 units.
What is a number line?
A horizontal line with evenly spaced numerical increments is referred to as a number line. The number on the line depends on how the number is contained.
The Distance Between Two Points on a number line.
The secret to finding the distance between two points is to remember that the geometric definition of subtraction is the distance between the two integers if we subtract the smaller number from the larger one.
Here, we have
the distance between -2 and 0 is 2 units
the distance between 0 and 3 is 3 units
2+3 = 5
OR
3- (-2) =
3+2 = 5
5 units
Hence, the distance between -2 and 3 on a number line is 5 units.
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Translate the sentence into an inequality. The sum of a number times 3 and 23 is greater than 25.
Translation of the given sentence with variable y into inequality is given by 3y + 23 > 25.
As given in the question,
Given sentence is :
Let the number be represented by y.
The sum of y times of 3 and 23 is greater than 25.
Translation of the given sentence into inequality is given by :
y times 3 is represented by 3y
Sum of y times 3 and 23 is given by 3y + 23
Sum is greater than 25
3y + 23 > 25
Simplify the inequality we get,
3y > 25 -23
⇒3y > 2
⇒y > 2/3
Therefore, translation of the given sentence with variable y into inequality is given by 3y + 23 > 25.
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What is the solution to the equation 1/4 ×-1/8=7/8+1/2x? X?
O x=-5
O x=-4
O x = 4
O x = 5
Answer: I think its B: x=-4
Step-by-step explanation:
9,4,23,7,18,16,14.Work out the range of the numbers in the list.
Step-by-step explanation:
Range = Highest number - Lowest number
= 23 - 4
= 19
Two-thirds of a number subtracted from nine is seven. Find the number.
Answer:
3
Step-by-step explanation:
9-2/3x=7
We know that 9-2=7 so 2/3x must be 2
2/3x=2
You have to multiply each side by 3/2
x=3
The number is 3
What is the answer to this question: 3y^2+4ab+7y^2+ab
graph y =-x+7
pls help i was gone when we did this
the slop is -1 and the y-intercept is (0,7)
What is vertex?An element of a line is a line segment.A line segment that can be extended endlessly is known as a ray.An angle is created when two line segments or rays cross one another.A vertex is created by definition whenever two lines come together to produce an angle.Thus, we can state that a vertex is formed when two line segments or rays intersect.acc to our question-
plot a point on the y- axis line at 7. Then go right 7 units and down 7 unitsHence,the slop is -1 and the y-intercept is (0,7)
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50 points
Please help
Graph -8+x=4y-16
Equation of the line - 8 + x = 4y - 16
In order to graph the line, find its x- and y- intercepts, then connect the two pointsx- intercept, at y = 0:
- 8 + x = 0 - 16x = - 16 + 8x = - 8y- intercept, at x = 0:
- 8 = 4y - 164y = 16 - 84y = 8y = 2The points are (0, 2) and (- 8, 0), plot them and connect to get the graph.
The graph that connects points (-8,0) and (02) is shown below
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
-8+x=4y-16
x- intercept, at y = 0:
- 8 + x = 4(0) - 16
x = - 16 + 8
x = - 8
y- intercept, at x = 0:
- 8 + 0 = 4y - 16
4y = 16 - 8
4y = 8
y = 2
The points are (-8,0) and (02)
So, the graph that connects points (-8,0) and (02) is shown below
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point A is located at (-2,-6) on the coordinate plane. Point A is reflected over the y-axis to create point A’. What ordered pair describes the location of A’?
The ordered pair coordinates of A' are (2, -6) if A is reflected over the y-axis.
What are transformations?The transformation, or f: X → X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one way or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point.
The coordinates of A are (-2, -6).
Point A is reflected over the y- axis to create point A'
(x, y) → (-x,y)
A (-2, -6) → A' (- (-2), -6))
So, the coordinates of A' are (2, -6).
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annual revenue for corning supplies grew by 5.5% in 2007; 1.1% in 2008; -3.5% in 2009; -1.1% in 2010; and 1.8% in 2011. what is the mean growth annual rate over this period? round your answer to four decimal places. do not round intermediate calculations.
The mean yearly growth rate for this period is 0.0036.
Define annual growth rate.The average annualized return of a portfolio, asset, or cash flow over time is known as the average annual growth rate, or AAGR. The basic arithmetic mean of a set of returns is used to calculate AAGR.
The change in a measurement's value over a year is known as the annual growth rate (AGR).
The sum of the growth rates for each year divided by the total number of years yields the mean growth annual rate.
Where the annual growth rate is calculated as follows: 5.5 + 1.1 - 3.5 - 1.1 + 1.8 = 3.8%
And the total number of years is 5.
Then ,
The average annual growth rate for this time period is = 3.8/5
Over this time span, the average yearly growth rate was 0.76%.
Make a decimal conversion
= 0.76% = 0.0076
Therefore, the mean yearly growth rate for this period is 0.0036.
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a group of 350 people includes 187 play the flute, 172 play the clarinet, and 47 both the flute and the clarinet. a person is selected at random. 1. what is the probability that he/she plays the clarinet but not the flute? a. 0.4213 b. 0.3571 c. 0.7812 d. 0.4587 e. 0.2743 2. what is the probability that he/she plays exactly one of these types of instruments? a. 0.7821 b. 0.2457 c. 0.5057 d. 0.7571 e. 0.3645 3. what is the probability that he/she plays at most one of these instruments? a. 0.7514 b. 0.9245 c. 0.5151 d. 0.2486 e. 0.8657
Using probability concepts, we calculated that the likelihood that the person plays the clarinet but not the flute is 0.2743.
What is conditional probability?The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is calculated by dividing the likelihood of the previous event by the likelihood of the subsequent, or contingent, event.
Here,
Finding people who can play the clarinet but not the flute is necessary. There are 172 people who can play the clarinet.
There are 47 people who can play both the clarinet and the flute.
As a result, 172-47=125 represents the number of people who can only play the clarinet and not the flute.
Probability(P),
P=( 125 / 350)
P=0.2743.
Therefore, the probability that a single person chosen at random can play clarinet but not flute is 0.2743.
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I need help please!!!!
=========================================================
Explanation:
x = number of weeks
y = height of the plant (inches)
The first sentence of "plant is 4 inches tall on week 8" gives us the point (x,y) = (8,4)
The second sentence gives us the point (32,16)
To find the growth rate, compute the slope.
[tex](x_1,y_1) = (8,4) \text{ and } (x_2,y_2) = (32,16)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{16 - 4}{32 - 8}\\\\m = \frac{12}{24}\\\\m = \frac{1}{2}\\\\m = 0.5\\\\[/tex]
The slope of 0.5 means the plant grows 0.5 inches per week.
Put another way, the plant grows 1 inch per every 2 weeks.
-----------------
Another approach:
The plant goes from 4 inches to 16 inches. It has grown 16-4 = 12 inches over the timespan of 24 weeks (since 32-8 = 24).
So its growth rate is 12/24 = 0.5 inches per week.
Notice how these values and calculations were mentioned in the previous section.
A bag contains 8 beads.
. 2 of the beads are blue.
. 1 of the beads is green.
. 3 of the beads are purple.
. The rest of the beads are red.
Jules takes a bead from the bag at random. Optional working
c) What is the probability that this bead
is purple or red?
Answer:
the probability would be taking a purple one. there are only 2 red beads
3/2 or 2/3
The probability that the two beads selected from the bag at random is purple or red is 5/8.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total number of beads = 8
2 of the beads are blue.
1 of the beads is green.
3 of the beads are purple.
Red beads = 8 - (2 + 1 + 3) = 8 - 6 = 2
Now,
The probability that the two beads selected are purple or red.
= Probability that the two beads are purple + Probability that the two beads are red.
= 3/8 + 2/8
= 5/8
Thus,
The probability that the two beads selected are purple or red is 5/8.
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7(x+4)-2[x-3(5+x)]=2/3(x-6)
Hope this helps! Bye, have a nice day!
PLS HELP!!! I WILL GIVE BRAINLIEST TO CORRECT ANSWER!
What is the slope?
What is the y-intercept?
What does the slope of the line shown by the points mean in the situation?
What does the y-intercept mean in the situation?
Answer:
The slope is 20 or 20/1The y-intercept is at (0,60)The slope of the line shows for every class, the cost of fees increases by $20 at the gymThe y-intercept means that before a member can sign up for a class, they must pay a flat, one-time fee of $60Step-by-step explanation:
the slope-intercept formula is y = mx + bm = slope which is rise/runFinding Slope:
the two coordinates that I will be choosing is (0,60) and (1,80)using the slope formula stated above, I will plug in my coordinates. It does not matter which coordinate you choose as #1 and which one as #2, you just need to make sure that you keep it consistent80-60/1-0 = 20/1 = 20 is the slopeFinding Y-Intercept:
If you look at the graph, there is a point that is on the y-axis which is at (0,60). This means that the y-intercept is at (0,60)Answer:
1. Slope = 20
2. y-intercept = 60
Step-by-step explanation:
The slope of the line is found by dividing the change in y by the change in x or "rise over run":
[tex]\implies \textsf{slope}\:(m)=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{80-60}{2-1}=\dfrac{20}{1}=20[/tex]
The slope of the line for the given situation is the fee per class. Therefore, there is a $20 fee for each class a customer at the gym attends.
-----------------------------------------------------------------------------------------------
The y-intercept is the y-value at the point at which the line intercepts the y-axis, so when x = 0.
From inspection of the given graph, y = 60 when x = 0.
[tex]\implies \textsf{$y$-intercept}=60[/tex]
The y-intercept of the line for the given situation is the membership fee for the gym. Therefore, the membership fee for the gym is $60.
If ΔLMN is similar to ΔPQR, what is the length of PR?
If ΔLMN is similar to ΔPQR then length of PR = 15 by corresponding sides of similar triangles property.
What is the relation between corresponding sides of two similar triangles?
Two figures are said to be similar if they have same shape but size may vary.If two triangles are similar then their :-Corresponding angles are congruent. Corresponding sides are in the same ratio.ΔLMN is similar to ΔPQR
Corresponding angles are equal - ∠L = ∠P, ∠M = ∠Q, ∠N = ∠R.Corresponding sides are in same ratio - [tex]\frac{LM}{PQ} = \frac{LN}{PR} = \frac{MN}{QR}[/tex]According to the given data:
ΔLMN is similar to ΔPQR, therefore their corresponding sides are in same ratio,
LM/PQ = 8/6
LN/PR = 20/(2x - 1)
Substituting the values and solving for 2x -1 which is given length of PR
[tex]\frac{8}{6} = \frac{20}{2x -1} \\\\8(2x -1) = (20)(6)\\\\PR = 2x - 1 = \frac{120}{8} \\\\[/tex]Therefore, length of PR = 15.
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X
Work out the mean for the data set
below:
6.8, 5.7, 0.8, 4.7, 1.3
Give your answer as a decimal.
x^3=x^2-1 find all the real zeros
Answer:
ask this braslate which matirias
a chemist makes 100 L of a 76% -acid solution using 52%-acid solution and an 82% - acid solution. how many liter each solution does the chemist need.
For each solution, the chemist needs 80 liters of 82% solution and 20 liters of 52% solution.
What is Percent?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it.A% is a number that has neither dimensions nor a defined unit of measurement.So, a chemist intends to create a 76% acid solution in 100 liters.
He will create it by combining an acid solution that is 52% with an acid solution that is 82%.
Let, x = amount of the 82% solution.Given that the sum is 100 liters.(100-x) equals the quantity of 52% solution needed.Now, calculate as follows:
0.82x + 0.52(100-x) = 0.76(100) (100)
0.82x + 52 - 0.52x = 76;0.82x - 0.52x = 76- 52;0.3x = 24x = 24;x = 80 liters of 82% solution and,100 - 80 = 20 liters of 52% solutions.Hence, for each solution, the chemist needs 80 liters of 82% solution and 20 liters of 52% solution.
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A source of money that allows individuals to pay for goods and services later is called _____. (1- consumer credit, 2- earned income, 3- capital) an advantage of this source of money is that ____. (1- it can be used to shop online, 2- there are no interest charges, 3- there are no penalties for delayed payment) i need answers fast.
A source of money that allows individuals to pay for goods and services later is called consumer credit and an advantage of this source of money is that there are no interest charges.
Consumer credit, also known as consumer debt, enables the consumers to incur debt or borrow money and to defer repayment of that money over time. It allows consumers to buy goods without having to pay for them in cash at the time of purchase. Examples of consumer credit include credit cards, student loans, etc. Among the advantages of using consumer credit is that there is no interest charge to borrow the money for a certain period of time until the due date.
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Which answer choice shows 38.782 rounded to the nearest half? PLEASE HURRY IS DUE TODAY!!!!!!!!!!!
A. 38
B. 38.5
C. 39
D. 39.5
10. Coach deposits $4250 in the bank and gets 2.3% simple interest. He keeps the money in the
bank for 42 months without any deposits or withdrawals. How much money will he have in the
bank after 42 months? Round to the nearest cent.
With the help of some mathematical operations, we can conclude that after 42 months, coach will have a total amount of $8,356 in his bank account.
What exactly are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).So, we know that coach gets 2.3% simple interest monthly.
Now, calculate the total amount after 42 months as follows:
4250/100 × 2.3 = $97.75Then, on monthly basis, the coach gets $97.75 as interest.
Then, for 42 months:
97.75 × 42 = $4,105.5Hence, the total amount after 42 months:
4250 + 4,105.5 = $8,355.5Rounding off: $8,356Therefore, with the help of some mathematical operations, we can conclude that after 42 months, coach will have a total amount of $8,356 in his bank account.
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Correct question:
Coach deposits $4250 in the bank and gets 2.3% simple interest monthly. He keeps the money in the bank for 42 months without any deposits or withdrawals. How much money will he have in the bank after 42 months? Round to the nearest cent.
The depth of the water on the shore of a beach varies as the tide moves in and out. The equation
D(t) = 0.75 cos (t) + 1.5 models the depth of the water, D(t), in feet and t as time in hours.
1. When will the tide be at its lowest for the first time when t > 0?
A) 3
B) 6
C) 9
D) 12
Answer:
C) 9 hours
Step-by-step explanation:
as per your picture the equation is
D(t) = 0.75×cos(pi/6 × t) + 1.5
the function cosine continuously "waves" from +1 to -1 and back.
the lowest value of this function for the first time after t>0 is when the cosine part reaches -1 the first time.
that is at 270° or 3pi/2.
so,
pi/6 × t = 3pi/2
1/6 × t = 3/2
t = 3×6/2 = 3×3 = 9
given that x = 2 and y = -4, find the value of 3x + y
given that q = 3m - 2p, express m in terms of p and q.
[tex]\huge\mathcal {♨Answer♥}[/tex]
Answer is on the attachment...
☆...Hope this helps...☆
_♡_mashi_♡_
The probability of tails of a weighted coin is 0. 65. The number of tails is noted each of the 15 times the coin is tossed. If this procedure is repeated 100 times, what type of distribution is simulated?
A. A sampling distribution of the sample proportion with n=15 and p=0. 65
B. A sampling distribution of the sample proportion with n=100 and p= 0. 65
C. A binomial distribution with n=15 and p= 0. 65
D. A binomial distribution with n=2 and p= 0. 65
E. There is not enough information to determine the type of distribution
A sampling distribution of the sample proportion with n=15 and p=0. 65 is stimulated here when The probability of tails of a weighted coin is 0. 65. The number of tails is noted each of the 15 times the coin is tossed.
What is probability?Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. Probability is synonymous with possibility. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.
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