Solve the problem.Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost:R(x) = 70x - 0.5x2C(x) = 4x + 7.

A. 74 units
B. 66 units
C. 67 units
D. 73 units


Answer: B

Mathematics

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Plot the set of points on the real number line.

A.

B.

C.

D.

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Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x + 4)2 - 9(y + 2)2 = 9

A. center at (-2, -4)
transverse axis is parallel to x-axis
vertices at (-5, -4) and (1, -4)
foci at (-2 - , -4) and (-2 + , -4)
asymptotes of y + 4 = - (x + 2) and y + 4 = (x + 2)
B. center at (-4, -2)
transverse axis is parallel to x-axis
vertices at (-5, -2) and (-3, -2)
foci at (-4 - , -2) and (-4 + , -2)
asymptotes of y + 2 = - 3(x + 4) and y + 2 = 3(x + 4)
C. center at (-4, -2)
transverse axis is parallel to y-axis
vertices at (-4, -5) and (-4, 1),
foci at (-4, -2 - ) and (-4, -2 + ),
asymptotes of y - 2 = - 3(x - 4) and y - 2 = 3(x - 4)
D. center at (-4, -2)
transverse axis is parallel to x-axis
vertices at (-7, -2) and (-1, -2)
foci at (-4 - , -2) and (-4 + , -2)
asymptotes of y + 2 = - (x + 4) and y + 2 = (x + 4)

Mathematics

Find the area A of a triangle with base b and altitude h.b = 44 cm, h = 37 cm

A. 1628 cm2  B. 684.5 cm2 C. 814 cm2  D. 777 cm2 

Mathematics

Find the prime factorization of the number 40.

A) 3?3?7?7 B) 9?49 C) 27?7 D) 3?3?3?3 E) 3?3?3?7

Mathematics