Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given function.f(x) = x5 + x4 + x2 + x + 6

A. 0 positive zeros, 2 or 0 negative zeros
B. 0 positive zeros, 1 negative zero
C. 0 positive zeros, 3 or 1 negative zeros
D. 0 positive zeros, 0 negative zeros


Answer: C

Mathematics

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For the function f whose graph is given, determine the limit.Find f(x) and  f(x).

A. does not exist; does not exist B. -1; 3 C. 1; 1 D. 3; -1

Mathematics

A. 14
B.
C. 15
D. 13

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

Find the given trigonometric function of the indicated angle using triangle RAW. cos W, where x=23, y=32, z=46.


Mathematics