F(x)=-4x+1
g(x)=3x+4
f(g(x))= f(3x+4)=-4(3x+4)+1=-12x-16+1=-12x-15
answer C
Answer:
positive
Step-by-step explanation:
Answer:
(f/g)(5) = 22
Step-by-step explanation:
All we need to do is plug in 5 for x in both f(x) and g(x) then divide the result of f(x) and g(x) to find our final answer.
Step 1: Plug in 5 for x
f(x) = 7(5) + 4(5) = 55
g(x) = 1/2(5) = 2.5
Step 2: Divide f(x) by g(x)
f(5)/g(5) = 55/2.5 = 22
And we have our final answer!
Answer:
273 tiles
Step-by-step explanation:
Given
Square tile
![Side=\frac{1}{2} ft](https://tex.z-dn.net/?f=Side%3D%5Cfrac%7B1%7D%7B2%7D%20ft)
Bathroom floor
![Length = 10\frac{1}{2}ft](https://tex.z-dn.net/?f=Length%20%3D%2010%5Cfrac%7B1%7D%7B2%7Dft)
![Width = 6\frac{1}{2}ft](https://tex.z-dn.net/?f=Width%20%3D%206%5Cfrac%7B1%7D%7B2%7Dft)
Required
Determine the number of tiles to cover the floor
First, we calculate the area of the floor:
![A_{floor} = Length * Width](https://tex.z-dn.net/?f=A_%7Bfloor%7D%20%3D%20Length%20%2A%20Width)
![A_{floor} = 10\frac{1}{2} * 6\frac{1}{2}](https://tex.z-dn.net/?f=A_%7Bfloor%7D%20%3D%2010%5Cfrac%7B1%7D%7B2%7D%20%2A%206%5Cfrac%7B1%7D%7B2%7D)
Convert to decimals
![A_{floor} = 10.5 * 6.5](https://tex.z-dn.net/?f=A_%7Bfloor%7D%20%3D%2010.5%20%2A%206.5)
![A_{floor} = 68.25ft^2](https://tex.z-dn.net/?f=A_%7Bfloor%7D%20%3D%2068.25ft%5E2)
Next, we calculate the area of the square tile:
![A_{tile} = Side * Side](https://tex.z-dn.net/?f=A_%7Btile%7D%20%3D%20Side%20%2A%20Side)
![A_{tile} = \frac{1}{2} * \frac{1}{2}](https://tex.z-dn.net/?f=A_%7Btile%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20%5Cfrac%7B1%7D%7B2%7D)
Convert to decimal
![A_{tile} = 0.5 * 0.5](https://tex.z-dn.net/?f=A_%7Btile%7D%20%3D%200.5%20%2A%200.5)
![A_{tile} = 0.25ft^2](https://tex.z-dn.net/?f=A_%7Btile%7D%20%3D%200.25ft%5E2)
The number of tiles is then calculated as:
![Tiles = \frac{A_{floor}}{A_{tile}}](https://tex.z-dn.net/?f=Tiles%20%3D%20%5Cfrac%7BA_%7Bfloor%7D%7D%7BA_%7Btile%7D%7D)
![Tiles = \frac{68.25ft^2}{0.25ft^2}](https://tex.z-dn.net/?f=Tiles%20%3D%20%5Cfrac%7B68.25ft%5E2%7D%7B0.25ft%5E2%7D)
![Tiles = \frac{68.25}{0.25}](https://tex.z-dn.net/?f=Tiles%20%3D%20%5Cfrac%7B68.25%7D%7B0.25%7D)
![Tiles = 273](https://tex.z-dn.net/?f=Tiles%20%3D%20273)
Answer:
=36x^3-210x^2+384x-210
Step-by-step explanation:
use the perfect square formula.