Answer:
The profit function is:

The maximum value is 406, 300 occurring when x = 640.
Step-by-step explanation:
The revenue function is:

And the cost function is:

Then the total profit function will be:

This is a quadratic function.
Therefore, the maximum value of the total profit will occur at its vertex point.
The vertex of a quadratic is given by:

In this case, a = -1, b = 1280, and c = -3300.
Then the point at which the maximum profit occurs is at:

And the maximum profit will be:

Answer:
D, 6 x 3 x 3
Step-by-step explanation:
One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.
9^2 × 9^6=9^10/9^2
When multiplying exponents, if the bases are the same you add the exponents.
9^2 × 9^6 = 9^(2+6)=9^8
When dividing exponents, I'd the bases are the same you subtract the bottom exponent from the top.
9^10/9^2=9^(10-2)=9^8
9^8=9^8
Solution: 9^10 over 9^2
Answer:
<u><em>Corral 4</em></u>
Step-by-step explanation:
we need to divide the area of the corral by the Number of animals In order To know the dedicated space for each animal
Corral 1 :
(50×40)÷110 = 18.181818181818 < 20
Then it doesn’t meet the requirements.
Corral 2 :
(60×35)÷115 = 18.260869565217 < 20
Then it doesn’t meet the requirements
Corral 3 :
(55×45)÷125 = 19.8 < 20
Then it doesn’t meet the requirements
Corral 4 :
(65×40)÷130 = 20
Then It meets the requirements
Answer:
x = 19
Step-by-step explanation:
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60 Use dist property
Subtract 3x from both sides
-3 = 3x - 60
Add 60 to both sides
57 = 3x
Divide both sides by 3
19 = x