Answer:
The problem:
Find 
if 
,
![h(x)=\sqrt[3]{x+3}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B3%7D)
, and
![f(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
.
Step-by-step explanation:
Replace 
in with since we are asked to find 
:
![\sqrt[3]{x+3}=\sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B3%7D%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
![\sqrt[3]{x+1+2}=\sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%2B2%7D%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
This implies that 
Let's check:
![\sqrt[3]{(x+1)+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28x%2B1%29%2B2%7D)
![\sqrt[3]{x+1+2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B1%2B2%7D)
![\sqrt[3]{x+3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B3%7D)
which is the required result for 
.
Answer:
X = 75
Step-by-step explanation:
Angle F and angle X are corresponding angles so they are congruent (equal)
Angle F and 105 form a straight line so they are supplementary angles, which means they add to 180
F+ 105 = 180
F = 180-105
F = 75
F = X = 75
The recipe calls for 5/8 cups butter and Angie wants to triple the recipe.
Therefore, if Angie is tripling the recipe, she is multiplying all of the ingredients in the recipe by 3.
So for the butter, this would be:
5/8 * 3 = 15/8
Next, we should turn this improper fraction into a mixed number so that we can compare it to the amount of butter that Angie has.
15/8 = 1 7/8
1 7/8 > 1 1/4
Thus, Angie DOES NOT have enough butter to triple the recipe.
Answer: -1, 1, 3, 5
Step-by-step explanation:
F(n)= 2n-3
F(1)=2(1)-3= -1
F(2)=2(2)-3= 1
F(3)=2(3)-3= 3
F(4)=2(4)-3=5
