Answer:
![h(x)=12x-9](https://tex.z-dn.net/?f=h%28x%29%3D12x-9)
Step-by-step explanation:
We are given the two functions:
![f(x)=4x-2\text{ and } g(x)=-8x+7](https://tex.z-dn.net/?f=f%28x%29%3D4x-2%5Ctext%7B%20and%20%7D%20g%28x%29%3D-8x%2B7)
And we want to find:
![h(x)=f(x)-g(x)](https://tex.z-dn.net/?f=h%28x%29%3Df%28x%29-g%28x%29)
So, by substitution:
![h(x)=(4x-2)-(-8x+7)](https://tex.z-dn.net/?f=h%28x%29%3D%284x-2%29-%28-8x%2B7%29)
Simplify. Distribute:
![h(x)=(4x-2)+(8x-7)](https://tex.z-dn.net/?f=h%28x%29%3D%284x-2%29%2B%288x-7%29)
Rearrange:
![h(x)=(4x+8x)+(-2-7)](https://tex.z-dn.net/?f=h%28x%29%3D%284x%2B8x%29%2B%28-2-7%29)
Combine like terms. Hence:
![h(x)=12x-9](https://tex.z-dn.net/?f=h%28x%29%3D12x-9)
Answer:
3y(2y+9)
Step-by-step explanation:
you have to divide 6 and 2 then you have to use a factor of 27 to get 9
A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings
A) How many cups of flour are there in 6 servings? 1 1/2 cups
How many cups of flour are there per serving? Show your work. (2 pts)
1 1/2 ÷ 6 = 3/2 x 1/6 = 3/12 = 1/4 cups for 1 serving
b) How many total cups or sugar (white and brown) are there in 6 servings?
3/4 + 1/3 = 9/12 + 4/12 = 13/12 = 1 1/12
How many cups of sugar are there per serving? Show your work. (2 pts)
1 1/12 ÷ 6 = 13/12 x 1/6 = 13/72 cups of white and brown sugar
c) Suppose you modify the recipe so that it makes 8 servings. How much more flour do you need if you already have enough for 6 servings. Show your work. (2 pts)
Flour for 6 servings = 1 1/2 cups
Flour for 1 serving = 1/4 cups
Flour for 8 servings = 1/4 x 8/1 = 8/4 = 2 cups for 8 servings
306 i did the math to the best of my ability