Step-by-step explanation:
4x = 112
× = 112 ÷ 4
× = 28
Corresponding angles are equal
y = 28
Answer:
729 in³
Step-by-step explanation:
Fill in the given numbers in the formula and solve for V.
... A = 6V^(2/3) . . . . . . the given formula
... 486 = 6V^(2/3) . . . . with the given area filled in
... 81 = V^(2/3) . . . . . . . divide by 6
... 81^(3/2) = V . . . . . . . raise to the 3/2 power. (2/3)·(3/2) = 1, so we have V on the right
... 729 = V . . . . in³
_____
You may have noticed that (81 in²)^(3/2) becomes 729 in³. The exponent operations work on the units, too.
Answer:
![f^{-1}(x)=6(x+7)^{3}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D6%28x%2B7%29%5E%7B3%7D)
Step-by-step explanation:
we have
![f(x)=\sqrt[3]{\frac{x}{6}}-7](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%7D%7B6%7D%7D-7)
Let
![y=f(x)\\ y=\sqrt[3]{\frac{x}{6}}-7](https://tex.z-dn.net/?f=y%3Df%28x%29%5C%5C%20y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%7D%7B6%7D%7D-7)
Exchanges the variable x for y and y for x
![x=\sqrt[3]{\frac{y}{6}}-7](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7By%7D%7B6%7D%7D-7)
Isolate the variable y
![x+7=\sqrt[3]{\frac{y}{6}}](https://tex.z-dn.net/?f=x%2B7%3D%5Csqrt%5B3%5D%7B%5Cfrac%7By%7D%7B6%7D%7D)
elevates to the cube both members
![(x+7)^{3}=\frac{y}{6} \\ \\y=6(x+7)^{3}](https://tex.z-dn.net/?f=%28x%2B7%29%5E%7B3%7D%3D%5Cfrac%7By%7D%7B6%7D%20%5C%5C%20%5C%5Cy%3D6%28x%2B7%29%5E%7B3%7D)
Let
![f^{-1}(x)=y](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3Dy)
------> inverse function
Find the lcd and go from there or you can change it to an improper fraction and go from there
Answer:
it is 9x/4 -9
Step-by-step explanation: