Answer:
Option A. ![2x^{3}+7x^{2}+12x-8](https://tex.z-dn.net/?f=2x%5E%7B3%7D%2B7x%5E%7B2%7D%2B12x-8)
Step-by-step explanation:
we have
![(x^{2}+4x+8)(2x-1)](https://tex.z-dn.net/?f=%28x%5E%7B2%7D%2B4x%2B8%29%282x-1%29)
Applying the distributive property
![(x^{2}+4x+8)(2x-1) =x^{2}(2x)-x^{2} +4x(2x)-4x+8(2x)-8\\ \\=2x^{3}-x^{2} +8x^{2}-4x+16x-8\\ \\= 2x^{3}+7x^{2}+12x-8](https://tex.z-dn.net/?f=%28x%5E%7B2%7D%2B4x%2B8%29%282x-1%29%20%3Dx%5E%7B2%7D%282x%29-x%5E%7B2%7D%20%2B4x%282x%29-4x%2B8%282x%29-8%5C%5C%20%5C%5C%3D2x%5E%7B3%7D-x%5E%7B2%7D%20%2B8x%5E%7B2%7D-4x%2B16x-8%5C%5C%20%5C%5C%3D%202x%5E%7B3%7D%2B7x%5E%7B2%7D%2B12x-8)
Answer:
![A=266\frac{2}{3}\ ft^2](https://tex.z-dn.net/?f=A%3D266%5Cfrac%7B2%7D%7B3%7D%5C%20ft%5E2)
Step-by-step explanation:
we know that
The scale is ![\frac{1}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B40%7D)
That means
1 unit in the drawing represent 40 units in the actual
or
1 inch in the drawing represent 40 inches in the actual
step 1
Find the actual dimensions of the living room
Multiply the dimensions of the living room in the drawing by 40
![Length:\ 6(40)=240\ in](https://tex.z-dn.net/?f=Length%3A%5C%206%2840%29%3D240%5C%20in)
![Width:\ 4(40)=160\ in](https://tex.z-dn.net/?f=Width%3A%5C%204%2840%29%3D160%5C%20in)
step 2
Convert inches to feet
Remember that
![1\ ft=12\ in](https://tex.z-dn.net/?f=1%5C%20ft%3D12%5C%20in)
To convert inches to feet , divide by 12
so
![Length:\ 240\ in=240/12=20\ ft](https://tex.z-dn.net/?f=Length%3A%5C%20240%5C%20in%3D240%2F12%3D20%5C%20ft)
![Width:\ 160\ in=160/12=\frac{40}{3}\ ft](https://tex.z-dn.net/?f=Width%3A%5C%20160%5C%20in%3D160%2F12%3D%5Cfrac%7B40%7D%7B3%7D%5C%20ft)
step 3
Find the area in square feet
Multiply the length by the width
![A=(20)(\frac{40}{3})=\frac{800}{3}\ ft^2](https://tex.z-dn.net/?f=A%3D%2820%29%28%5Cfrac%7B40%7D%7B3%7D%29%3D%5Cfrac%7B800%7D%7B3%7D%5C%20ft%5E2)
Convert to mixed number
![A=\frac{800}{3}\ ft^2=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B800%7D%7B3%7D%5C%20ft%5E2%3D%5Cfrac%7B798%7D%7B3%7D%2B%5Cfrac%7B2%7D%7B3%7D%3D266%5Cfrac%7B2%7D%7B3%7D%5C%20ft%5E2)
Answer:what’s the lowest value?
what’s the highest value?
there is your range
Step-by-step explanation: