Use the given functions to find the requested function.f(x) = 2x + 5, g(x) = 6x2Find (f + g)(x).

A. 2x + 5 - 6x2
B.
C. 12x3 + 30x
D. 2x + 5 + 6x2


Answer: D

Mathematics

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Find the dimension of the object and state whether or not it is a fractal.In measuring the area of the object, when you reduce the length of your ruler by a factor of 6, the number of length elements increases by a factor of 24.

A. The dimension is 1.774 and the object is fractal. B. The dimension is 0.564 and the object is fractal. C. The dimension is 2.774 and the object is fractal. D. The dimension is 18 and the object is ordinary (non-fractal).

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.y = 7x2, y = 7

A. ?
B. ?
C. ?
D. ?

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Write the number as the product of prime factors.828

A. 2 ? 2 ? 2 ? 3 ? 3 ? 23 B. 2 ? 2 ? 3 ? 3 ? 23 C. 2 ? 2 ? 2 ? 2 ? 23 D. 3 ? 3 ? 3 ? 3 ? 23

Mathematics

According to the U.S. Bureau of the Census, the relation between the average annual earnings of males and females with various levels of educational attainment can be modeled by the function where M and F represent the average annual earnings (in thousands of dollars) of males and females, respectively. When the average annual earnings for males reach $45,000, what does the equation predict for the average annual earnings for females? Round your answer to the nearest dollar.

? A. $86,379 B. $23,445 C. $30,005 D. $26,057 E. $20,847

Mathematics