Answer:
The revenue function is given as
R(x) = 500x - 0.8x²
Step-by-step explanation:
Given the Price equation
P = 500 - 0.8x
and the Cost equation
C(x) = 4x + 6000
The revenue function is given as
R(x) = xP
But P = 500 - 0.8x
So
R(x) = x(500 - 0.8x)
= 500×x - 0.8x×x
= 500x - 0.8x²
R(x) = 500x - 0.8x²
Answer:
because the area expression can be rewritten as
which equals 
Step-by-step explanation:
Area of the rectangle 

Since the length of a rectangle is 20 units more than its width.

The correct option is therefore 1.
I’m sorry, the text is too small. But I hope you find your answer soon.
Answer:
Step-by-step explanation:
Rearrange the terms and take out a common factor of 4
4(8x^2 + 2x + 1)
I think this is as far down as you want to take it. It gives an imaginary root which you may not be familiar with.
Answer:
x=8
Step-by-step explanation:
Area is equal to
A = l * w
50 = ( x+2) ( x-3)
FOIL
50 = x^2 -3x+2x -6
Combine like terms
50 = x^2 -x -6
Subtract 50 from each side
0 = x^2 -x -56
Factor
What two numbers multiply to -56 and add to -1
-8*7 = -56
-8+7 = -1
0 = ( x-8) ( x+7)
Using the zero product property
x-8 =0 x+7 =0
x = 8 x=-7
Since the length cannot be negative x cannot be negative
x=8