Answer:
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Step-by-step explanation:
Given
Required
Equations with as a solution
Divide both sides by -2
Add 4 to both sides
Divide both sides by 3
Multiply both sides by 2
Subtract 2 from both sides
Divide both sides by 1
Open bracket
Collect like terms
Divide both sides by -7
Subtract 6 from both sides
Multiply both sides by 3
Add 12 to both sides
Divide both sides by 4
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Answer:
See explanation
Step-by-step explanation:
The ordered pair (25,20) shows that Chef Allen pays $20 for 20 pounds of beans. The ratio of pounds to dollars is
A. Another plotted points are (5,4), (10,8), (15,12) and (20,16). Find the ratio of pounds to dollars in each case:
All points show the same ratio.
B. The line connecting given points is the graph showing how much Chef Allen pays for different amounts of beans. This line starts at the origin (0,0) and passes through the points (5,4), (10,8), (15,12) and (20,16).
C. If he cost of 25 pounds of beans is $20, then the cost of 50 pounds of beans is $40.
Answer:
The minimum average cost is $643.75
It should be built 62.5 machines to achieve the minimum average cost
Step-by-step explanation:
The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800
To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost
∵ C = 0.04x² - 5x + 800
- Differentiate C with respect to x
∴
∴
- Equate by 0
∴ 0.08x - 5 = 0
- Add 5 to both sides
∴ 0.08x = 5
- Divide both sides by 0.08
∴ x = 62.5
That means the minimum average cost is at x = 62.5
Substitute the value of x in C to find the minimum average cost
∵ C = 0.04(62.5)² - 5(62.5) + 800
∴ C = 643.75
∵ C is the average cost
∴ The minimum average cost is $643.75
∵ x is the number of the machines
∴ It should be built 62.5 machines to achieve the minimum
average cost