Answer: Distributive.
Step-by-step explanation: Using the distributive property, you would expand the equation to 56 + 42x.
We have that f(x) and g(x) are defined as:
![\begin{gathered} f(x)=(3x^3+17)^3 \\ g(x)=3x^3+17 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D%283x%5E3%2B17%29%5E3%20%5C%5C%20g%28x%29%3D3x%5E3%2B17%20%5Cend%7Bgathered%7D)
If f(x) is also related to h(x) and g(x) as:
![f(x)=(h\cdot g)(x)](https://tex.z-dn.net/?f=f%28x%29%3D%28h%5Ccdot%20g%29%28x%29)
We can then find h(x) as:
![\begin{gathered} f(x)=h(x)\cdot g(x) \\ h(x)=\frac{f(x)}{g(x)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3Dh%28x%29%5Ccdot%20g%28x%29%20%5C%5C%20h%28x%29%3D%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5Cend%7Bgathered%7D)
If we replace f(x) and g(x) we obtain:
![h(x)=\frac{f(x)}{g(x)}=\frac{(3x^3+17)^3}{3x^3+17}=(3x^3+17)^2](https://tex.z-dn.net/?f=h%28x%29%3D%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%3D%5Cfrac%7B%283x%5E3%2B17%29%5E3%7D%7B3x%5E3%2B17%7D%3D%283x%5E3%2B17%29%5E2)
Answer: h(x) = (3x^3 + 17)^2
Answer:
85
Step-by-step explanation:
got it right
Answer:
p=6
Step-by-step explanation:
First use the Distributive property to distribute the -3 to both (3p) and (6):
-84=-9p-18-2p
Now combine alike terms! (-9p-2p):
-84=-11p-18
Now add 18 to both sides!
-66=-11p
Now divide both sides by -11!
6=p
This can be rearranged to give you a final answer of p=6