Perform the operation and write the result in the standard form.(9 - 3i)(2 + 9i)
A. -9 - 87i
B. 45 + 75i
C. 45 - 75i
D. -27i2 + 75i - 18
Answer: B
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Factor, if possible.(q - 8)2 - 81
A. (q + 17)(q - 17) B. (q + 1)(q - 17) C. ((q - 8)2 + 9)((q - 8)2 - 9) D. (q + 1)2
Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.
g(x + f(x)), x = 3
A. -32 B. -4 C. -36 D. 27
Find the vertex, focus, and directrix of the parabola. Graph the equation.(x - 3)2 = -8(y + 2)
A. vertex: (-3, 2)
focus: (-3, 0)
directrix: y = 4
B. vertex: (-3, 2)
focus: (-5, 2)
directrix: x = -1
C. vertex: (3, -2)
focus: (3, -4)
directrix: y = 0
D. vertex: (3, -2)
focus: (1, -2)
directrix: x = 5
Use FOIL to multiply.(x - 2)(x + 10)
A. x2 - 8x + 20 B. 2x - 20 C. 2x2 + 20 D. x2 + 8x - 20