Simplify. Assume that all variables represent positive numbers.

A. 81x4
B. x2
C. 9x2
D. 9x4


Answer: C

Mathematics

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Solve the linear programming problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 35 staff members and needs at least 20 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?

A. 19 counselors and 23 aides B. 8 counselors and 12 aides C. 13 counselors and 17 aides D. 13 counselors and 16 aides

Mathematics

Graph the inverse of the function plotted, on the same set of axes. Use a dashed curve for the inverse.

A.

B.

C.

D.

Mathematics

Use common or natural logarithms to solve the exponential equation symbolically.3(1 + 2x) = 243

A. x =  - 2
B. x = 2 + 
C. x =   - 2
D. x =  - 

Mathematics

Evaluate the expression for the given values of the variables, if possible.2 ? (-m) ? nm = -10, n = -10

A. -120 B. -200 C. -20 D. -220

Mathematics