Jenny works in a picture framing shop. She has a function f(x) equals X +2 that find the size of a square frame, given a picture of side length X in inches. She has a function p(x) equals 3X that gives the price in dollars for the frame. What is the single function that Jenny can use to give a customer a price for a picture with an edge length of X

Answers

Answer 1

Given:

The function for size of a square frame is

[tex]f(x)=x+2[/tex]

where, x is the side length of the picture.

The function for the price in dollars for the frame is

[tex]p(x)=3x[/tex]

To find:

The single function for the price of a picture with an edge length of x.

Solution:

We know that, for a picture with an edge length of x.

Size of a square frame = f(x)

Price in dollars for the frame = p(x)

Single function for the price of a picture with an edge length of x is

[tex](p\circ f)(x)=p(f(x))[/tex]

[tex](p\circ f)(x)=p(x+2)[/tex]       [tex][\because f(x)=x+2][/tex]

[tex](p\circ f)(x)=3(x+2)[/tex]           [tex][\because p(x)=3x][/tex]

Let the name of this function is c(x). So,

[tex]c(x)=3(x+2)[/tex]

Therefore, the required function is [tex]c(x)=3(x+2)[/tex].


Related Questions

Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)

p(x)=8x^2
g(x) = x^2

Answers

Answer:

Step-by-step explanation:

p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8)  on the y axis and rises steeply to the right.

g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).

and opens upwards either side of the y-axis. This type of curve is called a parabola.

which is the value of the expresson?​

Answers

The solution to your problem is 8 (:

SAT Prep) In the figure, what is the value of x? A. 30° B. 50° C. 15° D. 20°

Answers

Answer:

D. 20°      Can I get brainliest please :)

Step-by-step explanation:

You can see their is a 90° angle, and angles across from each other are equal so them together is 180° and you know the whole thing is 360° so you can do

360°-180°=180°

then you have the x's we still know that angles opposite each other are the same so if we add all those angles together we get

x+x+2x+30°+2x+30°

simplify it

6x+60°

then we know what we have left is 180° so we do numbers to numbers

180°-60°=120°

now we have

6x=120°

simplify it

x=20°

The value of x is 20°. Option b is correct.

Value of angle x is to be determine.

What is angle?

it can be defined as the measure of one line tilt over other line.


Here, the sum of angle is 180°
x+90+2x+30=180
3x =180-120
3x =   60
 x = 20

Thus, the value of x is 20°.

Get more information about angles here:
https://brainly.com/question/13954458

#SPJ2



square root of x²-2x+1=100 wkwkwkw

i already have an answer but i need other answers too so i can check whether mine is wrong or not.. ​

Answers

x ^ 2–2x + 1

by splitting this equation

x ^ 2 - x -x + 1

there are a two terms x ^ 2 - x and - x + 1

we take x is common from first and -1 is common from second

x ( x - 1 ) and -1 ( x-1 )

the quadratic roots are (x-1) and (x-1)

x - 1 = 0

x = 1 in both

Therefore , the quadratic roots are 1 , 1 .

Somebody who remembers how to do this plz answer all the questions correct!!!!! Thx:)
(WILL MARK AS BRAINLIEST)
Grade5math

Answers

Answer:

.3 .029 .0157 3.9 2.023 4.0129

i hope that helps!

If g(n) = n +2, find g(1)

Answers

Answer:

3

Step-by-step explanation:

because n=1 and you plug it in you get 3

It’s asking me to solve for z...Can someone please explain how I can workout this problem?

Answers

Answer:

12°

Step-by-step explanation:

Step 1:

7z + 6° = 90°        Def. of Right Angle

Step 2:

7z = 84°       Subtract 6° on both sides

Step 3:

z = 84° ÷ 7      Divide

Answer:

z = 12°

Hope This Helps :)

For the arithmetic sequence 13,9,5,1... determine t8?

Answers

Answer:

34

Step-by-step explanation:

Estimate. 5. 8% of 40

Answers

i would say the answer is 2.32
I don’t know which is your question but here
8% of 40 is 3.2
Estimate it : 3

5.8% of 40 is 2.32
Estimate it : 2

Solve the equation algebraically |x|=12

Answers

Answer:

x = 12

Step-by-step explanation:

Absolute value is the distance between the number and 0. Since distance cannot be negative, the absolute value of something is always going to be positive. In this equation | x | = 12 since 12 is already a postive number and the distance between 12 and 0 is 12, this means that x is equal to 12.

Hope This Helps :)

which equals ( V20 - 13) (120 + V3)?

Answers

Answer:

17

thats the answer

Is 7/16 of a mile repeating or terminating

Answers

Answer:

Terminating.

Step-by-step explanation:

.4375 miles is terminating.

Answer:

terminating

Step-by-step explanation:

it's 0.3475

The sales tax rate in the state of New York is 8.875. If you buy a pair of shoes for 56.00, how much tax would you pay?

Answers

Answer:

4.97

Step-by-step explanation:

Solve 5ax + 3ax = 4ax + 12 for x. Assume a ≠ 0.

Answers

Answer:

c. 3/a

Step-by-step explanation:

5ax + 3ax = 4xa+ 12, combine like terms

8ax = 4ax + 12, minus 4ax on both sides

4ax = 12, divide 4a on both sides

youll be left with x = 3/a

Plz help I’m on a deadline I will give Brain list !!!!!!!

Answers

Answer:

find it out

Step-by-step explanation:

answer: 3,300
explanation: 22,300 - 2500 = 19,800
19,800 divided by 6 = 3,300
( i’m not sure if i’m correct )

Y=-1/5x+12
What is the y-intercept?
What is the slope?

Answers

Answer:

The slope is -1/5 and the y intercept is 12

Step-by-step explanation:

Y=-1/5x+12

This is in the form

y=mx+b where m is the slope and b is the y intercept

The slope is -1/5 and the y intercept is 12

Answer:

-1/5 = slope

12 = y-intercept

Step-by-step explanation:

y = mx + b

m is always equal to the slope

b is equal to the y-intercept

which makes -1/5 the slope

and makes 12 the y-intercept

What is the slope of 15+25d=t

Answers

Answer:

d= 1/25 t -3/5

Step-by-step explanation:

What is the slope of 15+25d=t

The first and last buttons are 15 inches apart when measured from the top of the first button to the top of the last button. What is the distance, in inches, between the top two buttons on his shirt, from the top of one to the top of the other? (there are 5 buttons btw)

Answers

It should be 3 inches, but I am not sure what the length is of each button if i should subtract it or not.. otherwise it should be 3!!

Why can’t i be normal and understand math chileee

Answers

girl same i hate math

1 pts
Question 2
data allowed
Aaron's cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he already used 80% of
for the 31-day period. At this rate, when wil he need to pay for additional data?

Answers

Answer:

He need to On the 26th day of his billing

Step-by-step explanation:

Given:

Amount of data = 3 gb

80% data used in 21 days

Find:

Number of days for additional data

Computation:

Total number of days = 21(100/80)

Total number of days = 26.25 days

He need to On the 26th day of his billing

HELP ME HELP ME please !!! 10 points

Answers

Answer:

The slope is [tex]\frac{3}{2}[/tex]

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ [tex]m=\frac{15-12}{4-2}=\frac{3}{2}[/tex]

∴ m = [tex]\frac{3}{2}[/tex]

∴ The slope is [tex]\frac{3}{2}[/tex]

→ Substitute its value in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = [tex]\frac{3}{2}[/tex] (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

The y-intercept is 9

A gear rotates 8 times every 15 seconds. based on the information which of the following is wrong

Answers

D is wrong (making it the correct choice)! In order for D to be correct, it would say “the gear rotates 24 times in 45 seconds. Hope this helped!

A magician charges parties a $30 fee to cover travel and miscellaneous expenses plus $19.99 per hour. What an equation for that?

Answers

Answer:

30 + 19.99 per hour

Step-by-step explanation:

ADD THEM IN A EQUATION.

SO SIMPLE TO DO THAT!

Answer:

Step-by-step explanation:30+19.99x

How do you solve this?

Answers

Answer:

145

Step-by-step explanation:

180-137=43

43+102=145

Answer The answer is 145 because, as you see you need a 180 degree angle, so you have 137 and you need to make those two angles 180 so 180-137=43 so then you got 43+102 so that's 145 then you have that other angle so that'll be 35, so the ? mark will be 145 since that 180-35

Step-by-step explanation:

What is the length of segment BC?

Answers

The length is 10 because this is a right triangle and based on the pythagorean theorem, the sum of the squares of the legs equals the square of the longest side.

6 squared plus 8 squared is 100, which is 10 squared.

The answer is 10.

Answer:

C. 10

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c²

a² can be found by multiplying 6 by 6, which is 36

b² can be found by multiplying 8 by 8, which is 64

36 + 64 = 100.

The square root of 100 is 10, you can double-check this because 10 x 10 = 100

Because of this, we know that the line segment BC is equal to 10

I hope this helps :)

solve v = 5/f-8 for f​

Answers

f = -3/v
if there’s a certain way you had to solve then it might be wrong but if not then

An 8-ounce bottle of glue costs $1.92. What is the unit price

Answers

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

what does i2x + 3(x - 5) = 20 equal

Answers

Answer:

x=7

Step-by-step explanation:

2x+3(x-5)=20

2x+3x-15=20

5x-15=20

5x=35

x=7

Answer:

x = 5

Step-by-step explanation:

2x + 3(x - 5) = 20

simplify

5x - 5 = 20

get the variable and the number on different sides

5x - 5 + 5 = 5x

20 + 5 = 25

5x = 25

now divide each side by 5

5x / 5 = x

25 / 5 = 5

x = 5

The product of a scaler and vector produces a vector with the direction opposite of the original vector what must be true?

Answers

Answer:

Scalar is negative

Step-by-step explanation:

Please help with this, it's due today and I don't really understand it.

Answers

Answer:

Check description

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

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