Let
. Find the composite function.
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What will be an ideal response?
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An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 9yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20
A. Maximum: 59; at (2, 5) B. Maximum: 70; at (10, 0) C. Maximum: -28; at (4, 0) D. Maximum: 42; at (6, 0)
Find the derivative of the function.
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What will be an ideal response?
Solve the problem.If (1, 5) is the endpoint of a line segment, and (4, 6) is its midpoint, find the other endpoint.
A. (3, 11) B. (-5, 3) C. (7, 4) D. (7, 7)
Solve the problem.The following table shows a country's population from 1995 to 1998:Divide the population for each year by the population in the preceding year. Use this ratio to write the general term of the geometric sequence describing the country's population growth n years after 1994. Then estimate the country's population, in millions, in 2004.
A. an = 12.40(1.03)n - 1; 16.66 million B. an = 12.40(1.02)n - 1; 18.32 million C. an = 12.40(1.02)n - 1; 19.24 million D. an = 12.40(1.03)n - 1; 16.18 million