Use the graph of a known basic function and a combination of horizontal and vertical shifts to sketch the function.f(x) = (x - 7)3 - 4

A.

B.

C.

D.


Answer: A

Mathematics

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Solve the problem.The figure below shows the paths that run through a nature park. Have the paths been designed in such a way that it is possible for a visitor to find a route that begins and ends at the entrance (represented by vertex A) and that goes along each path exactly once? If so, use Fleury's algorithm to find such a route.

What will be an ideal response?

Mathematics

Solve the problem.All of the 43 members of the swim club compete in either the individual or team events at the upcoming competition. If 20 members compete only in individual events and 17 compete only in team events, how many compete in both team and individual events?

A. 43 B. 26 C. 6 D. 23

Mathematics

On the Richter scale, the magnitude R of an earthquake is given by the formula  where I is the intensity of the earthquake being measured and I0 is the standard reference intensity.


Express the intensity I of an earthquake of magnitude  in terms of the standard intensity I0.

Express the intensity I of an earthquake of magnitude  in terms of the standard intensity I0.

How many times greater is the intensity of an earthquake of magnitude 8 than one of magnitude 6?

In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976. Known as the Tangshan earthquake, it registered 8.2 on the Richter scale. How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude ? Round your answer to the nearest integer.


A. ; 100; 153
B. ; 2; 143
C. ; 100; 168
D. ; 100; 158

Mathematics

Rewrite the objective function into a maximization function.Minimizew = y1 + 3y2 + y3 + 4y4subject to:y1 + y2 + y3 + y4 ? 31 2y1 + 2y2 + y3 + 2y4 ? 58 y1 ? 0, y2 ? 0, y3 ? 0, y4 ? 0

A. Maximize z = -x1 - x2 - x3 - x4 ? -31 B. Maximize z = -2x1 - 2x2 - x3 - 3x4 ? -58 C. Maximize z = x1 + 3x2 + x3 + 4x4 - x5 D. Maximize z = -x1 - 3x2 - x3 - 4x4

Mathematics