Solve the problem.Behemoth Back Packs, Inc. finds that the cost to make each of its backpacks is $45 and each backpack sells for $115. If the company's fixed costs for a month are $4037, how many backpacks must the company sell in a month in order to make a profit?
A. at most 75 backpacks
B. at least 26 backpacks
C. at least 58 backpacks
D. at least 146 backpacks
Answer: C
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Answer the question.For f(x) = x2 - 1 and g(x) = 2x + 3, what is the domain of g?f?
A. 
B. 
C. All real numbers
D. 
x ? - 
Convert the units.389 mL = 
L
A. 389,000 L B. 38,900 L C. 0.389 L D. 3.89 L
Use basic identities to simplify the expression.cos ? - cos ? sin2?
A. tan2? B. sin ? C. sec2? D. cos3?
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 Function z = 3x + 5yConstraints x ? 0 y ? 0 2x + y ? 15 x - 3y ? -3
A. Maximum 75; at (0, 15) B. Maximum 38; at (6, 4) C. Maximum 33; at (6, 3) D. Maximum 22.5; at (7.5, 0)