Solve the problem.If sin ? = -0.8, find the value of sin ? + sin (? + 2?) + sin (? + 4?).
A. -0.8
B. -2.4 + 6?
C. -0.4
D. -2.4
Answer: D
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Solve the absolute value equation. = 9
A. x = 8 B. x = -21, 105 C. x = -10, 8 D. x = 105
Provide the proper response.Without graphing, justify why x2 + 4 - 4x - 16y + 64 = 0 is the equation of a parabola.
What will be an ideal response?
Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y is directly proportional to x. When x = 8, then y = 2.
A. k = 4; y = 4x
B. k = ; y =
x
C. k = ; y =
x
D. k = 6; y = x + 6
Provide an appropriate response.Given the primal problem P below:Maximize f(x) = cxTsubject to Ax ? b x ? 0where c is a vector in ?n, b is a vector in ?n, and A is an m × n matrix, how many constraints and how many variables are in the dual problem?
A. m constraints, n variables B. n constraints, m variables C. n constraints, n variables D. m constraints, m variables