Given:
The function for size of a square frame is

where, x is the side length of the picture.
The function for the price in dollars for the frame is

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

![[\because f(x)=x+2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%2B2%5D)
![[\because p(x)=3x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20p%28x%29%3D3x%5D)
Let the name of this function is c(x). So,

Therefore, the required function is
.
Answer:
2/3 of the track
Step-by-step explanation:
5/7 • 4/5 is 2/3 so Sarah ran 2/3 around the track.
Answer:
Step-by-step explanation:
so you have to multiply the ratio first
Answer: the height of the trapezoid is 6 cm
Step-by-step explanation:
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6 cm
b = 8.5 cm
If the area of the cut out is 43.5 cm², then
53.5 = 1/2(6 + 8.5)h
Cross multiplying by 2, it becomes
43.5 × 2 = (6 + 8.5)h
87 = 14.5h
h = 87/14.5 = 6 cm
Answer:
55/4
Explanation:
Let's solve your equation step-by-step.
4
/5x−8=3
Step 1: Add 8 to both sides.
4
/5x−8+8=3+8
4
/5
x = 11
Step 2: Multiply both sides by 5/4.
(
5
/4
)*(
4
/5
x)=(
5
/4
)*(11)
x= 55/4
Answer:
x=
55
/4
Hope that helps :)