Answer:
The width of the red tile would be 
inches.
Step-by-step explanation:
Given blue tile has a length of 
inches, and a width of 
inches.
Also, length of similar tile is 
inches.
Let us assume 
as the width of red tile.
It is given in the question that both tiles are similar.
So, their area will be the same.
Area of blue tile would be 
Area of red tile would be 
The area of blue tile would be equal to area of red tile.
So, the width of the red tile would be inches.
Answer:
x = -9, -2, and 3.
just set everything possible to 0.
since 0 = 0 it must be true.
f(x)=x3−5
Replace f(x)
with y
.
y=x3−5
Interchange the variables.
x=y3−5
Solve for y
.
Since y
is on the right side of the equation, switch the sides so it is on the left side of the equation.
y3−5=x
Add 5
to both sides of the equation.
y3=5+x
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
y=3√5+x
Solve for y
and replace with f−1(x)
.
Replace the y
with f−1(x)
to show the final answer.
f−1(x)=3√5+x
Set up the composite result function.
f(g(x))
Evaluate f(g(x))
by substituting in the value of g into f
.
(3√5+x)3−5
Simplify each term.
Remove parentheses around 3√5+x
.
f(3√5+x)=3√5+x3−5
Rewrite 3√5+x3
as 5+x
.
f(3√5+x)=5+x−5
Simplify by subtracting numbers.
.
Subtract 5
from 5
.
f(3√5+x)=x+0
Add x
and 0
.
f(3√5+x)=x
Since f(g(x))=x
, f−1(x)=3√5+x is the inverse of f(x)=x3−5
.
f−1(x)=3√5+x
Answer:
<em>x = 5</em>
Step-by-step explanation:
5(x + 4) - 8 = x + 32
5x + 20 - 8 = x + 32
5x + 12 = x + 32
5x - x + 12 = 32
5x - x = 32 - 12
4x = 32 - 12
4x = 20
x = 5
Hope this helped! :)
