Find the quotient and the remainder.x2 + 16x + 63 divided by x + 9

A. x3 - 54; remainder 0
B. x + 7; remainder 0
C. x - 54; remainder 0
D. x2 + 7; remainder 0


Answer: B

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

Find an equation for the line with the given properties.Perpendicular to the line -5x - y = 2; containing the point (0, - )

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

Mathematics

Find all the critical numbers of the function.y = x1/5 - x6/5

A.
B. 0, 
C. , 0
D.

Mathematics

Write the statement in symbols, using x as the variable, and find the solution by guessing or by using trial and error. All solutions come from the list of integers between -12 and 12 inclusive.5 less than a number is -1.

A. x - 1 = 5; 6 B. x + 5 = -1; -6 C. 5 - x = -1; 6 D. x - 5 = -1; 4

Mathematics