Answer the question or provide an explanation.Explain why the function f(x) = (x - 7)2 + 2 is not a one-to-one function.

What will be an ideal response?


Answers will vary. If you graph f, note that the graph is a parabola opening up which does not pass the horizontal line test. Considering the set of ordered pairs associated with f, for each second component there is not exactly one first component.

Mathematics

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Factor, if possible.64p3 + 1

A. (4p + 1)(16p2 - 4p + 1) B. (64p + 1)(p2 - 4p + 1) C. (4p - 1)(16p2 + 4p + 1) D. (4p + 1)(16p2 + 1)

Mathematics

Find the y-intercept and graph the equation by hand.y = - x

A.

B. (0, 0)

C. (0, 0)

D. (0, 0)

Mathematics

Solve the problem.Mark needs x liters of Paint A and y liters of Paint B to get the shade of color that he wants, and he needs at least 40 liters of the mixture.a) Write an inequality to describe the situation.b) Graph the inequality.c) Is (30, 8) a solution of this inequality?

A. x + y ? 40;

Yes, the point (30, 8) is a solution.
B. x - y ? 40;

Yes, the point (30, 8) is a solution.
C. x + y ? 40;

No, the point (30, 8) is not a solution.
D. y ? 40 + x;

No, the point (30, 8) is not a solution.

Mathematics

Solve by trial.x + 6 = 17

A. 11 B. 15 C. 13 D. 10

Mathematics