Answer:
2*4ⁿ
Step-by-step explanation:
![4^{n-1}=4^n*4^{-1}\\4^{-1}= \frac{1}{4}\\8*\frac{1}{4}*4^n\\2*4^n](https://tex.z-dn.net/?f=4%5E%7Bn-1%7D%3D4%5En%2A4%5E%7B-1%7D%5C%5C4%5E%7B-1%7D%3D%20%5Cfrac%7B1%7D%7B4%7D%5C%5C8%2A%5Cfrac%7B1%7D%7B4%7D%2A4%5En%5C%5C2%2A4%5En)
Given:
The function for size of a square frame is
![f(x)=x+2](https://tex.z-dn.net/?f=f%28x%29%3Dx%2B2)
where, x is the side length of the picture.
The function for the price in dollars for the frame is
![p(x)=3x](https://tex.z-dn.net/?f=p%28x%29%3D3x)
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
![(p\circ f)(x)=p(f(x))](https://tex.z-dn.net/?f=%28p%5Ccirc%20f%29%28x%29%3Dp%28f%28x%29%29)
![[\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,
![c(x)=3(x+2)](https://tex.z-dn.net/?f=c%28x%29%3D3%28x%2B2%29)
Therefore, the required function is
.
Answer:
(7,4)
Step-by-step explanation:
To find the area of a circle find the radius and square it then multiply by PI
Area = PI x r^2