If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.
It is probably B if it is incorrect i am sorry but thats all i could do :(
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Answer:
- 4 pencils cost $0.80
- 5 pencils cost $1.00
Step-by-step explanation:
Each is a point on the graph of cost versus number of pencils.
The point on the left tells you 4 pencils cost $0.80. The point on the right tells you 5 pencils cost $1.00.
The difference between the points tells you that one additional pencil adds $0.20 to the cost.
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<em>Additional comment</em>
We don't know what "situation" is being referred to. The graph may be completely irrelevant to the situation.
Answer:
No solution.
Step-by-step explanation:
Absolute value cannot be less than 0