Given:
Speed = 6 miles per second
If the Saturn revolves 6 miles in 1 second then the speed is:
So speed in minutes is 360 miles per min.
In 3 minutes traveling distance is:
Answer:
7/16
Step-by-step explanation:
7/16>3/8
Answer:
The correct answer is 12 and a half or 13 weeks.
Step-by-step explanation:
First, convert the values to decimals.
27 1/2 = 27.5
2 1/4 = 2.25
Then, divide miles of road that need to be repaved by the number of miles that are repaved per week.
27.5/2.25 = 12.2222222222222
Round that up to 12 and a half weeks or 13 weeks.
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
