An expression that occurs in calculus is given. Write the expression as a single quotient in which only positive exponents and/or radicals appear.

A.
B. (x2 + 2)3/2(2x + 1)-1/2(x2 - x + 6)
C.
D. (x2 + 2)3/2(2x + 1)1/2(x2 - x + 6)


Answer: C

Mathematics

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Solve the system by the substitution method. + y2 = 9

A. (0, -3), (, 2)
B. (- , 2), (0, -3), (, 2)
C. (0, 3), (- , 2)
D. (0, 3), (, 2)

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Translate the sentence into an equation and solve it.Twenty-four less than three times n is equal to the product of five and n. Find n.

A. 3n - 24 = 5n, n = 12 B. 24 - 3n = 5n, n = 3 C. 3n - 24 = 5n, n = -12 D. 24 - 3n = 5n, n = -3

Mathematics

Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the x-axis at each zero.f(x) = 3(x2 + 3)(x - 4)2

A. -3, multiplicity 1, crosses x-axis; 4, multiplicity 2, touches x-axis B. -3, multiplicity 1, touches x-axis; 4, multiplicity 2, crosses x-axis C. 4, multiplicity 2, crosses x-axis D. 4, multiplicity 2, touches x-axis

Mathematics

Find the amount that results from the investment.$12,000 invested at 8% compounded quarterly after a period of 3 years

A. $14,920.49 B. $3218.9 C. $15,218.90 D. $15,116.54

Mathematics