Simplify the algebraic expression.-8(6r + 3) + 4(9r + 4)
A. -12r + 3
B. -12r - 8
C. -72r
D. -2r - 5
Answer: B
Mathematics
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Answer the question.Consider a function f(x, y, z), where the independent variables are constrained to lie on the curve 
(t) = x(t)i + y(t)j + z(t)k. What mathematical fact forms the basis for the method of Lagrange multipliers?
A. ?f??g = 0
B. f approaches a local extremum as ? ? 0.
C. ?f?
= 0
D. ?g = 0
Mathematics
Determine if the given polar coordinates represent the same point.(5, ?/3), (-5, -2?/3)
A. Yes B. No
Mathematics
Write the satement in symbols. Let x represent the unknown number.Nine times a number, decreased by 29.
A. 9(x + 29) B. 9x + 29 C. 9x - 29 D. 9(x - 29)
Mathematics
Graph the parabola or ellipse. Include the directrix that corresponds to the focus at the origin.r = 
A. 
B. 
C. 
D. 
Mathematics