4 - 2(2x - 7) = -6.
2 answers:
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Answer:
Step-by-step explanation:
Given:
Length of ladder, y = 10 ft
θ = π/3 rad
Using cosine rule,
Sin θ = opposite/hypotenuse
Sin θ = x/y
Sin θ = x/10
Differentiating both sides with respect to dθ,
10 × cos θ × dθ = dx
10 cos θ = dx/dθ
dx/dθ = 10 × cos π/3
= 5 ft/radians.
Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
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B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
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<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
Answer:
The percent increase is <u>18.75%</u>.
Step-by-step explanation:
Given:
Amber got a raise, and her hourly wage increased from $8 to $9.50.
Now, to find percent increase.
Previous wage = $8.
Wage raised = $9.50.
So, to get the increased wage we subtract the previous wage from the wage raised:
Now, to get the percent increase:
Therefore, the percent increase is 18.75%.