Answer: 
Step-by-step explanation:
1. Let's write the following formula for calculate the area of a rectangle:

Where
is the lenght (the longer side) and
is the width (the shorter side).
2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

3. So, you must substitute
into the equation for calculate the area of the rectangle and then you must simplify.
4. Then, you obtain the following expression:

Answer:
a. 1620-x^2
b. x=810
c. Maximum value revenue=$656,100
Step-by-step explanation:
(a) Total revenue from sale of x thousand candy bars
P(x)=162 - x/10
Price of a candy bar=p(x)/100 in dollars
1000 candy bars will be sold for
=1000×p(x)/100
=10*p(x)
x thousand candy bars will be
Revenue=price × quantity
=10p(x)*x
=10(162-x/10) * x
=10( 1620-x/10) * x
=1620-x * x
=1620x-x^2
R(x)=1620x-x^2
(b) Value of x that leads to maximum revenue
R(x)=1620x-x^2
R'(x)=1620-2x
If R'(x)=0
Then,
1620-2x=0
1620=2x
Divide both sides by 2
810=x
x=810
(C) find the maximum revenue
R(x)=1620x-x^2
R(810)=1620x-x^2
=1620(810)-810^2
=1,312,200-656,100
=$656,100
-m-4=-13
-m=-13+4=-9
m=9
☺☺☺☺
Answer: 55
Step-by-step explanation:
![\sqrt[3]{4x-4}=6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x-4%7D%3D6)
Begin by cubing each side of the equation to get rid of the cubic root.
![(\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B4x-4%7D%29%5E3%3D%286%29%5E3%5C%5C%204x-4%3D216)
add 4

Divide by 4

