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