To demonstrate the given situation, the type of chart(s) that is best to use is both an x-bar chart and an R-chart.
An x-bar chart is a statistical process control chart used to monitor the mean of a continuous data set over time. The chart plots the average (x-bar) of each subgroup of data points, rather than plotting individual data points, and provides information about process stability and control. The x-bar chart is often used in conjunction with an R-chart.
An R-chart (Range chart) is a type of statistical process control chart that is used to monitor the variability of a process by plotting the range (difference between the maximum and minimum values) of a subgroup of samples at different time periods. The R-chart provides a measure of process variability and helps detect changes in variability, which may indicate a change in the underlying process mean. The R-chart is typically used in conjunction with an X-bar chart, which monitors the process mean, to provide a comprehensive view of process performance.
The question seems incomplete, it must have been...
"Jars of pickles are sampled and weighed. Sample measures are plotted on control charts. The ideal weight should be precisely 11 oz. Which type of chart(s) would you recommend?
-both an x-bar chart and an R-chart
-p-chart
-an x-bar chart, but not an R-chart
-c-chart
-both a p-chart and a c-chart"
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What does the transformation f(x)↦f
1
8
x do to the graph of f(x)?
The transformation f(x)↦ 1/8f(x) will shrink the graph of f(x) by 8 times.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) → 1/8 f(x)
This means,
The function f(x) will shrink by 8 times.
Thus,
f(x) ↦ 1/8f(x) will shrink the graph of f(x) by 8 times.
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Hans drove 536 miles in 8 hours.
At the same rate, how long would it take him to drive 737 miles?
Answer: It would take a total of 11 hours
Step-by-step explanation: here I am using the universal equation of DST, depending on which elements we have we will use this equation.
if we have D, multiply S*T
If we have S Divide D/T
If we have T Divide D/S
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Please Help Urgent!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular.
The city will also put a fence around the playground. The perimeter, P, of the fence includes the gates. To save money, the city wants the least perimeter of fencing for the area of 256 square yards.
With one side 8 yards longer than the other side, what are the side lengths for the least perimeter of fencing?
(blank) yards and (blank) yards
one may determine how much fence is necessary for a playground with a 256 square yard area is P = 1024 / x.
What is quadrilateral?
Quadrilaterals are typically four-sided closed shapes, and there are numerous varieties of them. Square, rectangle, rhombus, kite, and trapezoid are the most typical shapes. Four closed sides make up a quadrilateral. Quadrilaterals are the following figures: a four-sided figure. The form features a single set of parallel sides and no right angles.
Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.
P = 4x
Area = x²
Px = 4x²
x² = Px/4
Area = Px/4
The fencing will be equal to the perimeter, with an area 256 sq yd
256 = Px/4
P = 1024 / x
Thus, using a straightforward equation, one may determine how much fence is necessary for a playground with a 256 square yard area is P = 1024 / x.
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1) The visitors rented bicycles at the resort.1
2) They hired my brother as a nutritionist.
3) Hundreds of visitors visit the spa every week.
4) They booked a spa holiday.
5) They do not allow children in this health resort.
When converted from active voice to passive voice, the sentences read as follows:
Active Voice refers to a sentence construction where the subject is performing the action described by the verb. It emphasizes the doer of the action.
On the other hand, Passive Voice refers to a sentence construction where the action is performed on the subject, rather than the subject performing the action. It emphasizes the action or the object affected by the action.
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need help with the picture below :)
In order from x - y = 3 ... to y = 4 - 5x, the number of solutions of each system of equations is given as follows:
One solution.No solution.Infinity solutions.No solution.How to obtain the number of solutions of each system of equations?There are three possible number of solutions for each system of equations, and the cases are presented as follows:
Zero solutions: Coefficients of x and y are multiple, while the constant is not.Infinite solutions: Coefficients of x, y and the constant are multiples.One solution: The coefficients of x and y are not multiples.We look at these coefficients, and then obtain the number of solutions for each system in this problem.
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Find the mean,median and range of the following list of values and choose the correct result.8,9,10,10,10,11,11,11,12,13
The mean of the data be 10.5, median is 10.5 and range be 5.
How to find the mean, median and range?The numbers are sorted, added, and then divided to determine the mean.
8 + 9 + 10 + 10 + 10 + 11 + 11 + 11 + 12 + 13 = 105
Mean = 105 ÷ 10 = 10.5
Mean = 10.5
In essence, determining the median is locating the value in a data sample that lies physically between the other numbers.
The middle number, please. Your right finger should go on 8, and your left finger should go on 13. Your right finger should be at 11, while your left finger should be at 10.
10.5 is the median because it is the midpoint number.
Subtract the largest number from the smallest number to determine the range.
13 - 8 = 5
Therefore, 5 be the range of the data.
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The mean of the data be 10.5, median is 10.5 and range be 5.
Define mean and median?Mean: the average, calculated by adding all the values in a set of data and dividing them by the total number of values added together.The median is the middle number in a set of values.The mode is the number or value that appears the most frequently in the set.The range is the difference between the largest and smallest data points in a set of numerical data. The midpoint is the average of the largest and smallest data points.The mean (average) of a data set is calculated by adding all of the numbers in the set and then dividing by the number of values in the set. When a data set is ordered from least to greatest, the median is the value in the middle.To learn more about mean and median refer to:
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PLEASEEE HELP ASAPPP
Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation?
4x = 5 − 2y
y − 2x = 7
Answer:
2x+7
Step-by-step explanation:
this is because if you rearrange the bottom equation to be in y= format, this is the solution you will find
A rancher own a rectangular piece of land that i 5. 4 mi long and 2. 5 mi wide. Find the area of the rectangle defined by thi ranch. (Give your anwer a a number. Do not include the unit in your anwer. )
The area of the rectangular piece of land owned by the rancher is:
13.5
The area of a rectangle is a measure of the size of the rectangular space it encloses.
It is calculated by multiplying the length and the width of the rectangle. In this case, the length of the rectangular piece of land owned by the rancher is 5.4 miles and the width is 2.5 miles. To find the area, we multiply these two values.
The formula for finding the area of a rectangle is:
Area = Length * WidthSubstituting the values of length and width into the formula:
Area = 5.4 miles * 2.5 miles = 13.5 square milesSo the area of the rectangular piece of land owned by the rancher is 13.5. This means that if we divide the land into unit squares of 1 square mile each, we would have 13.5 such unit squares.
The area of a rectangle is an important metric in geometry and is widely used in many fields, including construction, agriculture, and real estate.
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A photograph 10cm x 7cm is enlarged so that
the length is 24cm. What would be the width of
the enlargement?
The width of the enlargement would be 34.2857 cm.
What is the difference between length and width?The distance separating an object's ends is its length. The longest dimension is this one. The width of an object is the separation between its two sides. The shortest dimension is this one.
Initial dimension of shorter side = 10 cm
Initial dimension of longer side = 7 cm
Final dimension of shorter side = 24
Final dimension of longer side = x cm
The enlargement always ensure the aspect ratio = longer side / shorter side
10/7 = x/24
Solving for x, we get
[tex]$\frac{x}{24}=\frac{10}{7}$$[/tex]
simplifying the above equation, we get
[tex]$\frac{24 x}{24}=\frac{10 \cdot 24}{7}$$[/tex]
[tex]$x=\frac{240}{7} cm$$[/tex]
Therefore, the value of x be 34.2857 cm.
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Given g(x) = 2x ^ 2 - 3x + 5 find g(- 2)
The value of the function when evaluated is 3
How to evaluate the functionFrom the question, we have the following parameters that can be used in our computation:
g(x) = 2x ^ 2 - 3x + 5
Express properly
So, we have the following representation
g(x) = 2x^2 - 3x + 5
Substitute the known values in the above equation, so, we have the following representation
g(-2) = 2(-2)^2 - 3(-2) + 5
Evaluate the like terms
g(-2) = -8 + 6 + 5
So, we have
g(-2) =
Hence, the function value is 3
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a combination of values that, when arranged correctly, result in a final value.
Combinations and sequences are widely used in mathematics to explain and assess situations in which the order or selection of components might influence the final result.
What is combination?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set.
Here,
A combination is a grouping of things from a bigger set in which the order of the components is irrelevant. A sequence is a collection of elements that are ordered in a precise order. Combinations and sequences are frequently used in mathematics to describe and evaluate situations where the order or selection of components might impact the final outcome, such as in combinatorics, probability, and statistics.
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Complete question:
A combination of values that, when arranged correctly, result in a final value. true/false
Can you please solve this?
The competition took 2 minutes.
What is speed?Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.
Given that, the Turtle and Achilles compete. They start at the same time from the same place. Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph. When Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him.
Let t be the time taken in competition and the distance covered by Achilles be x miles.
We have been given that when Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him. This means that the distance covered by turtle will be: x - 2/5
Since we know that, speed = distance / time
So, we can set two equations for time taken by Achilles and turtle as:
t = x / 13
x = 13t......(i)
t = (x-2/5)/1....(ii)
Substituting this value in equation (2) we will get,
t = 13t - 2/5
5t = 65t - 2
60t = 2
t = 2/60
t = 1/30
So, the competition took 1/30 hour, let us convert our given time in minutes.
1/30 × 60 minutes
= 2 minutes
Hence, the competition took 2 minutes.
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Please help with 9-12
Answer:
9. Cylinder
10. 14 in
11. 20π in³
12. circle, ellipse, rectangle, truncated ellipse
Step-by-step explanation:
You want the solid obtained by revolving a rectangle around one edge, the perimeter of the rectangle, the volume of the solid, and the names of at least 2 cross sections of the solid.
9. Solid of revolutionEvery point on the outside edge of the solid will be 2 inches from the center axis. That is, the cross section perpendicular to the axis of revolution will be a circle. The solid is a cylinder.
10. PerimeterThe perimeter of a rectangle is given by the formula ...
P = 2(L +W)
P = 2(2 in + 5 in) = 2(7 in) = 14 in
The perimeter is 14 inches.
11. VolumeThe radius of the cylinder is 2 inches, and its height is 5 inches. The volume is given by ...
V = πr²h
V = π(2 in)²(5 in) = 20π in³
The volume is 20π cubic inches, about 62.8 cubic inches.
12. Cross sectionsThe four attachments show possible cross sections of the cylinder. They include a circle, ellipse, rectangle, and truncated ellipse. The truncated ellipse may be cut off on one or both ends.
Find the slope from a table?
X 3 5 8 13 16
Y 1 9 7 11 14
Angelita owns a small Native American gift shop in Arizona. Recently, she acquired a large collection of hand-woven Navajo rugs from another shop owner who was retiring. This owner told Angelita that she would sell about 40 rugs a month at $150/rug but only 20 rugs per month at $220/rug.
1. Assuming a linear relationship between the price per rug and the number of rugs sold, find the demand function p=????(????).
2. Angelita paid the other owner $80 per rug for the collection. She calculates fixed costs by taking the same percentage of her average monthly costs to run the store as the percentage of display space needed by the product in question. Her average monthly cost is $3000 and her total amount of display space is 1200 square feet. The rug display uses 120 square feet of display space. Find the cost function p=????(????).
3. Find the revenue function for Angelita’s rugs. State the domain of the revenue function. How many rugs does Angelita need to sell for maximum revenue?
4. Find the profit function for Angelita’s rugs. State the domain of the profit function. How many rugs does Angelita need to sell for maximum profit? What is the maximum profit?
5. Graph the cost and revenue functions on the same graph. Determine the break-even point and interpret its meaning in the context of this problem. How many rugs should be sold in order for Angelita to make money?
Angelita needs to sell at least 32 rugs to make money on her rugs.
The demand function for Angelita's rugs is p=150x-7000, which represents the linear relationship between the price per rug and the number of rugs sold. The cost function for the rugs is p=80x+2400, which is calculated by taking the same percentage of her average monthly costs to run the store as the percentage of display space needed by the product in question, which is 120 square feet of the total 1200. The revenue function for the rugs is p=150x-7000+220x, and the domain of this function is all real numbers. The maximum revenue is achieved when 40 rugs are sold, at $8800. The profit function for the rugs is p=150x-7000+220x-80x-2400, and the domain of this function is all real numbers. The maximum profit is achieved when 37 rugs are sold, at $4940. The break-even point is 32 rugs, which is the point where the cost and revenue functions intersect. This means that Angelita needs to sell at least 32 rugs to make money on her rugs.
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The following equations represent linear functions. Which of the following is true about the functions?
The true statement about the functions is that that graphs are perpendicular lines
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
y = 3/4x + 7
y = -4/3x + 7
A linear equation is represented as
y = mx + c
Where
slope = m
This means that the slopes are
3/4 and -4/3
The above slopes are opposite reciprocal
i.e.
3/4 * -4/3 = -1
Hence, they are perpendicular lines
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What is the image of (-6,-5) after a reflection over the x-axis?
Answer:
rotation on x axis;
(x, y) 》(x, -y)
So,(-6,5) is the correct answer.
Answer:
(-6,5)
Step-by-step explanation:
(x,y) ------》 (x,-y) {reflection over x-axis}
Solve for x.
x + 47 = -23
x =
Select all values equal to: −7/9
Answer:
see below
Step-by-step explanation:
second one
fourth one
diseases tend to spread according to the exponential growth model. in the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 2.1. in 1983, about 1900 people in the u.s. died of aids. if the trend had continued unchecked, how many people would have died from aids in 2005?
According to the growth factor, starting value and the number of years passed, the number of people who would have died is 12.94×10⁷.
The number of people who would have died from AIDS in 2005 will be calculated by the formula -
f(t) = a×[tex] {b}^{t} [/tex]. In this formula, f(t) is the number of cases that occured in the mentioned number of years and t is the number of years between the start and year in question. a is strating value and b is growth.
t = 2005 - 1990
Performing subtraction on Right Hand Side of the equation
t = 15 years
Keep the values in formula
f = 1900 × 2.1¹⁵
Calculating the power
f = 1900 × 68,122.32
Performing multiplication on Right Hand Side of the equation
f = 12.94 × 10⁷
Thus 12.94×10⁷ people would have died.
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I NEED IMMEDIATE HELP PLEASE HELP ME SOLVE THIS PROBLEM
Answer:
No
20 inches
Step-by-step explanation:
Area of a triangle = 1/2 × breadth × height
Therefore,
[tex] \frac{1}{2} \times 5 \times 8[/tex]
[tex] = \frac{1}{2} \times 40[/tex]
That mean
[tex] = \frac{40}{2} = 20[/tex]
Is 27.6 a rational number
Answer:
27.6 is a rational number
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction. Since 27.6 Since 27.6 can be expressed as 276/10 or 138/3, 27.6 is a rational number.
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Your client wants to build a driveway that is 150 ft long and 10 feet wide. How many cubic yards of cement is necessary if it is 3 inches thick?
Volume of the cement required to pave the driveway is = 125/9 cubic yards.
What is a cuboid?A cuboid is a six-sided solid known as a hexahedron. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid may become a cube by varying the lengths of the edges or the angles between the faces.
Features of a Cuboid :
There are 6 faces, 12 edges, and 8 vertices on a cuboid.All of the cuboid's faces have rectangular shapes.The cuboid's opposing edges are parallel to one another.The three dimensions of a cube are length, width, and height.All of the angles created at the cuboid's vertices are 90 degree angles.A cube is a specific instance of a cuboid in which the length, width, and height are all equal. Accordingly, a cuboid is a cube.
Length of the Driveway = 150 ft = 50 yards
Width of the driveway = 10 ft = 10/3 yards
Thickness of the cement pavement = 3 inches = 3/36 = 1/12 yards
Volume of the cement required is = length*breadth*width = 50*(10/3)*1/12 = 125/9 cubic yards
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I need help, ASAP! I can't figure out how to solve this. The math problem is in the picture below, Thanks!
The line of best fit for the given points is as follows:
y = 1.21x + 1.57.
How to obtain the equation for the regression line?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
The points for the data-set in this problem are given as follows:
(1,2), (2,5), (3,7), (4,2), (5,10), (6,10) and (7,9).
Inserting these points into the linear regression calculator, the line of best fit for these points is defined as follows:
y = 1.21x + 1.57.
(rounding the coefficients to two decimal places).
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There are 20 cd left to be sold in a store. This is between 1% and 1.25% of the original number of copies of the CD store. The original number of CDs was between what two numbers?
The original number of CDs is between 1000 and 1500.
What is algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Number of copies of a popular CD left to be sold in the store = 20
According to question, this is between 15 and 1.5% of the original number of copies of the CD in the store.
Let the original number of copies of the CD be 'x'.
Now, 20 is equal to 1% of the original number of copies of the CD,
1% of x = 20
1/100 of x= 20
x= 2000
Or if 15 is equal to 1.5% of the original number
1.25% of x= 20
1.25/100 x = 20
x = 1600
Hence, the CDs is between 1000 and 1500.
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2) The same select team had another tryout session for the fall season, but this time asked back 30% of the tryout players for a second evaluation. If 50 players came out to the initial tryout, how many were asked back for a second evaluation? part whole = - percent = Substitute and solve
sketch the points s1, 5, 3d, s0, 2, 23d, s23, 0, 2d, and s2, 22, 21d on a single set of coordinate axes.
The same coordinate axes, with the x-axis denoting the first coordinate, the y-axis denoting the second coordinate, and the z-axis denoting the third coordinate, may be used to plot the points s1, 5, 3d, s0, 2, 23d, s23, 0, 2d, and s2, 22, 21d.
First, plot the coordinate axes using the point s1, 5, and 3D. This point's x, y, and z coordinates are 1, 5, and 3, respectively.
Step 2: Draw a coordinate axes plot of the position s0, 2, 23d. This point has the x, y, and z coordinates of 0, 2, and 23, respectively.
Step 3: Draw a coordinate axes plot of the point s23, 0, 2d. This point's x, y, and z coordinates are 23, 0, and 2, respectively.
Step 4: Draw a coordinate axes plot of the position s2, 22, 21d. This point's x, y, and z coordinates are 2, 22, and 21 respectively.
The same coordinate axes, with the x-axis denoting the first coordinate, the y-axis denoting the second coordinate, and the z-axis denoting the third coordinate, may be used to plot the points s1, 5, 3d, s0, 2, 23d, s23, 0, 2d, and s2, 22, 21d. Plotting these points begins with the point s1, 5, 3d, which has the x, y, and z coordinates of 1, 5, and 3. Plot this point on the coordinate axes with the x, y, and z coordinates as 1, 5, and 3 respectively. The junction of the x, y, and z axes should be at this location. Plot the point s0, 2, 23d, which has coordinates of 0 on the x-axis, 2 on the y-axis, and 23 on the z-axis. The z-coordinate of this point should be 23 units above the x-y plane, and it should be located where the x- and y-axis meet. Plot the points s23, 0, 2d, and s2, 22, 21d to finish. These points should be located at 0 and 22 units above the x-z plane, respectively, and on the x and z axis. Plotting all the points should result in a three-dimensional figure.
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find the slope between the points (0,-5) and (-2,3)
Answer: The slope between the points (0,-5) and (-2,3) is (-3 - (-5)) / (-2 - 0) = -8 / -2 = 4.
Step-by-step explanation:
a salesman a car dealership earns a month salary is $2400 and $250 for each vehicle. the Salesman sells 12 cars per month for the entire year, what is the minimum amount of money the salesperson earns for the entire year. What is the maximum amount of money the salesperson earns for the entire year
The required maximum amount of money the salesperson earns for the entire year is given as $5400.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the total amount earned be x,
According to the question,
x = 2400 + 250×12
x = $5400
Thus, the required maximum amount of money the salesperson earns for the entire year is given as $5400.
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HELP ME PLSS!?!?
In the mall you receive a coupon for $5 off of a pair of jeans when you arrive at the store you find that all jeans are 25% off
.let x represent the original cost of the jeans
.the function f(x)=x-5 represents the cost of the jeans if you use the coupon
.the function g(x)=0.25x represents the cost of the jeans if you apply the store discount of 25% first
Write a function:j(x) that represents how much you would pay if you use the store discount first followed by the mall coupon.
The function h(x) represents the cost of the jeans if you first use the coupon and then apply the store discount.
What is the function that represents how much you would pay?The function h(x) can be computed using the composition of functions f(x) and g(x). The function j(x) represents the cost of the jeans if you first apply the store discount and then use the coupon.
The function g(x) can be computed using the composition of functions g(x) and f(x).
If you use the composition h(x), you will pay $27 for the jeans. If you use the composition j(x), you will pay $30 for the jeans.
Therefore, the composition h(x) will give you a better discount since it is cheaper.
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The function that represents how much you would pay if you use the store discount first and then mall coupon is:
j(x) = 0.75*x - 5
How to write the function j(x)?Wewant to write a function that represents how much you would pay if you use the store discount and then tha mall coupon.
We know that:
f(x) = x-5 represents the cost of the jeans if you use the coupong(x) = 0.75x represents the cost of the jeans if you apply the store discount of 25% first (the given function is not correctly written)So if first we apply the discount, then we need to do the composition:
f(g(x)) = g(x) - 5
Replacing g(x) there we will get:
f(g(x)) = g(x) - 5 = 0.75*x - 5
j(x) = 0.75*x - 5
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