Find the domain of the indicated combined function.Find the domain of (f + g)(x) when f(x) = 9 - 5x and g(x) = -9x + 3.

A. Domain: (-5, ?)
B. Domain: (-9, 5)
C. Domain: (-?, 9)
D. Domain: (-?, ?)


Answer: D

Mathematics

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Use the two steps for solving a linear programming problem to solve the 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 45 staff members and needs at least 30 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. 35 counselors and 10 aides B. 12 counselors and 18 aides C. 18 counselors and 12 aides D. 27 counselors and 18 aides

Mathematics

Solve the problem.Use the figure below to determine the radian measure of angle ?. Round to two decimal places, if necessary.

A. 48 radians B. 1.5 radians C. 0.33 radians D. 3 radians

Mathematics

Find the distance on the number line between the pair of numbers., - 

A.
B.
C.
D.

Mathematics

Determine the slope, if it exists, of the graph of the given linear equation.f(x) = 5 + 3x

A. m = 5 B. m = -5 C. m = 3 D. m = -3

Mathematics