Let z vary jointly with x and y. Find the constant of variation k. Then, use 
to find z when x = 5 and y = 7.z = 4 when x = 10 and y = 2
A. k = 80; z = 2800
B. k = 0.2; z = 7
C. k = 40; z = 1400
D. k = 0.4; z = 14
Answer: B
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Write the complex number in rectangular form.8
A. 
+ 
i
B. 
+ 
i
C. 4
+ 4i
D. 4 + 4
i
Suppose a spring has mass M and spring constant k and let 
. Suppose that the damping constant is so small that the damping force is negligible. If an external force is 
applied (the applied frequency equals the natural frequency), use the method of undetermined coefficients to find the equation that describes the motion of the mass.
Solve the problem.The graph of f(x) = x3 - x2 - 8x + 12 is shown below. Use the graph to factor f(x).
A. f(x) = -(x + 3)(x - 2)2 B. f(x) = (x + 3)(x - 2)2 C. f(x) = (x - 3)(x + 2)2 D. f(x) = x(x + 3)(x - 2)
Solve the problem.A piece of cardboard is 0.04 in. thick. The cardboard is cut in half, with one half being placed on top of the other so that its thickness doubles for 8 times in a row. How thick would the final stack of cardboard be? Round to two decimal places.
A. 5.12 in. B. 12.75 in. C. 10.24 in. D. 5.04 in.