Solve the problem.Can anything be said about the graph of a function y = f(x) that has a second derivative that is always equal to zero? Give reasons for your answer.

What will be an ideal response?


The graph will be a straight line. Since y'' = 0, this means there is no change in y', which is the slope of y. A constant slope implies a straight line.

Mathematics

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Determine how many decimal places the product will have. Do not multiply.0.4 × 3

A. three B. two C. none D. one

Mathematics

Solve the problem.Two angles are supplementary, and one is 40° more than three times the other. Find the smaller angle.

A. 105° B. 75° C. 35° D. 145°

Mathematics

The percentage of 18-to-25-year-old smokers in the United States has been declining at a constant rate since 1974. If about 47% of this group smoked in 1974 and about 29% smoked in 1994, find a linear equation that models this decline. If this trend continues, what percentage will smoke in 2007. ?

A. 0% B. 19.4% C. 2.7% D. 17.3% E. none of these

Mathematics

Graph the system of inequalities. Shade the region that represents the points of intersection.

A.

B.

C.

D.

Mathematics