Provide an appropriate response.Using only this graph of f(x) = a(x - h)2 + k, what are the signs of h and k?

A. h is positive and k is negative.
B. h is negative and k is positive.
C. Both are positive.
D. Both are negative.


Answer: C

Mathematics

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Evaluate the integral using the given substitution. dx , u = x3/2 - 2

A.   sin (x3/2 - 2) + C
B. x3/2 - 2 +  sin 2(x3/2 - 2)+ C
C. sin3 (x3/2 - 2) + C
D. (x3/2 - 2) +  sin 2(x3/2 - 2) + C

Mathematics

Solve the problem.A fair coin is tossed three times. Which of the following describes the sample space for this random experiment?

A. {3 H's, 2 H's and 1 T, 1 H and 2 T's, 3 T's} B. {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} C. {HHH, TTT} D. {H, T} E. none of these

Mathematics

Write the expression in the form a + bi.

A.  - i
B.  - i
C.  - i
D.  - i

Mathematics

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation.10 < 5x ? 30

A. (-?, 2] ? (6, ?)

B. (-?, 2) ? [6, ?)

C. [2, 6)

D. (2, 6]

Mathematics