Answer:
The solution of given equation 5(x - 6) = 2(x + 3) is given by,
x = 12
Step-by-step explanation:
It is given that,
5(x - 6) = 2(x + 3)
<u>To find the solution of given equation</u>
5(x - 6) = 2(x + 3)
5x - (5 * 6) = 2x + (2 * 3)
5x - 30 = 2x + 6
5x - 2x = 6 + 30
3x = 36
x = 36/3
x = 12
Therefore the solution of given equation is,
x = 12
Answer:
-2.75
Step-by-step explanation:
Hope this helps!!
<span>16 is 20% of a number
20% is 1/5 of 100%
Multiply 16 by 5=80
16 is 20% of 80</span>
<h2>
Answer:</h2>
![\boxed{c. \ f^{-1}(x)=\frac{1}{\sqrt[3]{x}}}](https://tex.z-dn.net/?f=%5Cboxed%7Bc.%20%5C%20f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7Bx%7D%7D%7D)
<h2>
Step-by-step explanation:</h2>
Let's find the inverse function of 
to know what item we must choose as correct. So let's apply this steps:
a) Use the Horizontal Line Test to decide whether 
has an inverse function.
As shown in the graph below there is no any horizontal line that intersects the graph of at more than one point. Thus, the function is one-to-one and has an inverse function. Therefore, the inverse is a function..
b) Replace 
by 
in the equation for .
c) Interchange the roles of 
and and solve for
![x=\frac{1}{y^3} \\ \\ \therefore y^3=\frac{1}{x} \\ \\ \therefore y=\frac{1}{\sqrt[3]{x}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7By%5E3%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%5E3%3D%5Cfrac%7B1%7D%7Bx%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7Bx%7D%7D)
d) Replace by 
in the new equation.
![f^{-1}(x)=\frac{1}{\sqrt[3]{x}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7Bx%7D%7D)
So the correct option is:
![c. \ f^{-1}(x)=\frac{1}{\sqrt[3]{x}}](https://tex.z-dn.net/?f=c.%20%5C%20f%5E%7B-1%7D%28x%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7Bx%7D%7D)
5+3x=-1+36x+6
5+3x=36x+5
3x=36x
X=12x which I believe would make a no solution answer if you were looking for that answer maybe I am wrong though
