Answer:
x = 55 or x = 15
Step-by-step explanation:
Solve Absolute Value.
We know that either 1/5x - 7 = 4 or 1/5x - 7 = -4.
1/5x - 7 = 4
1/5x - 7 + 7 = 4 + 7
1/5x = 11
1/5x (5) = 11 (5)
x = 55 (one possibility)
1/5x - 7 = -4
1/5x - 7 + 7 = -4 + 7
1/5x = 3
1/5x (5) = 3 (5)
x = 15 (second possibility)
For example:
(4/9) x=8
Now can solve this equation multiplying each side by 9/4.
(9/4)(4/9)x=(9/4)8
x=18
To check:
(4/9)(18)=(4*18)/9=72/9=8
Answer:
Step-by-step explanation:
explain how to do this more
A.) Revenue = price * quantity = px = -1/20x^2 + 1060x
R(x) = -1/20x^2 + 1060x.
b.) Profit = Revenue - Cost = R(x) - C(x) = -1/20x^2 + 1060x - 120x - 5000
P(x) = -1/20x^2 + 940x - 5000
c.) For maximum profit, dP/dx = 0
-1/10x + 940 = 0
1/10x = 940
x = 940 * 10 = 9,400
x = 9,400
Maximum profit = P(9400) = -1/20(9400)^2 + 940(9400) - 5000 = $4,413,000
d.) The price to be charged for maximum profit = -1/20(9400) + 1060 = $590
51 x3 is 153 is 153 x 12 is 22032
