Simplify.

A.
B.  
C.  
D.  


Answer: D

Mathematics

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Use the Concavity Theorem to determine where the given function is concave up and where it is concave down. Also find all inflection points.G(x) = x4 - x3 + 14

A. Concave up for (2, ?), concave down on (-?, 2); inflection point (2, 10) B. Concave up for (-?, 0), concave down for (0, ?); inflection point (0, 14) C. Concave up on (-?, 0) ? (2, ?), concave down on (0, 2); inflection points (0, 14) and (2, 10) D. Concave up on (0, 2), concave down on (-?, 0) ? (2, ?); inflection points (0, 14) and (2, 10)

Mathematics

First, round the mixed numbers to the nearest whole number and estimate the answer. Then find the exact answer and write it in simplest form.1 ? 

A.
B. 3
C.
D. 1

Mathematics

Solve.The following table shows per capita health care expenditures (in dollars) from 2003 to 2008. The logarithmic model that fits this data is E = f(x) = 3130 + 720 ln x, where E represents the per capita health care expenditures and x is the number of years since 2002. Use this model to predict in what year health care expenditures will reach $5,400.

A. 2,026 B. 2,028 C. 2,027 D. 2,025

Mathematics

Fill in the blank with one of the words or phrases listed below.In the U.S. system of measurement, a(n)  is the amount of heat required to raise the temperature of 1 pound of water 1 degree Fahrenheit.

A. liter B. gram C. calorie D. British Thermal Unit

Mathematics