Write the algebraic expression described. Simplify if possible.Two numbers have a sum of 45. If one number is q, express the other number in terms of q.

A. 45 - 2q
B. q + 45
C. q - 45
D. 45 - q


Answer: D

Mathematics

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A.

B.

C.

D.

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Find the standard form of the equation of the circle.Center at (-5, -2) and containing the point (-2, 4).

A. (x - 5)2 + (y - 2)2 = 45
B. (x + 5)2 + (y + 2)2 = 45
C. (x + 5)2 + (y + 2)2 = 3
D. (x - 5)2 + (y - 2)2 = 3

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Find the indicated maxima or minima.Maximum of f(x,y) = 4xy,subject to x + y = 8

A. 72 when x = 0, y = 8 B. 64 when x = 4, y = 4 C. 64 when x = 3, y = 5 D. 72 when x = 2, y = 6

Mathematics

Find the value of the annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposit. mnrt$200annually9%20?

A. $133,577.37 B. $10,232.02 C. $11,258.31 D. $11,610.43 E. $9,664.34

Mathematics