Evaluate the expression without using a calculator.

128(-1/7)

A. -2
B. 128
C. -128
D.
E.


Answer: D

Mathematics

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Graph the function and analyze it for domain, range, continuity, increasing or decreasing behavior, asymptotes, and end behavior.f(x) = log3(x + 2)

What will be an ideal response?

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Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 1 - 5-x; relative to f(x) = 5x

A. Moved up 1 unit(s);
reflected across, y-axis;
reflected across x-axis;


B. Reflected across y-axis;
reflected across x-axis;
moved up 1 unit(s)


C. Reflected across y-axis;
reflected across x-axis;
moved down 1 unit(s)


D. Moved up 1 unit(s);
reflected across, y-axis;
reflected across x-axis;


Mathematics

Provide an appropriate response.The graph of the function y = f(x) = x2/3 is shown below. The "V"-shaped graph comes to a sharp point at  Without doing any calculations, decide whether the function has a tangent at   Give reasons for your answer. [Hint: consider the signs of the tangent lines on either side of  and what implication this has in terms of the limit definition of the slope of a tangent line.].

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Mathematics

Solve the problem.The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin ?, where W is the weight of the car and ? is the angle of the hill's grade (? > 0 for uphill travel, ? < 0 for downhill travel). What is the grade resistance (to the nearest pound) of a 1750-lb car on a level road (? = 0°)?

A. 0 lb B. undefined C. 1750 lb D. -1750 lb

Mathematics