Use a Venn Diagram and the given information to determine the number of elements in the indicated region.n(U) = 268, n(A) = 92, n(B) = 112, n(A ? B) = 41, n(A ? C) = 44,   and  Find n(C).

A. 52
B. 36
C. 59
D. 101


Answer: D

Mathematics

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Solve the problem.In a sale, the price of a computer is reduced by $196. The sale price is $1,224. Find the marked price (original price) and the rate of discount. Round the discount rate to the nearest tenth of a percent if necessary.

A. $1,028; 16% B. $1,420; 16% C. $1,028; 19.1% D. $1,420; 13.8%

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Write the binomial expansion of the expression.(4x2 - 1)3

A. 64x6 - 48x4 + 12x2 - 1 B. 256x8 + 64x6 - 48x4 + 12x2 - 1 C. (16x4 - 8x2 + 1)3 D. 64x3 - 48x2 + 12x - 1

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Find the sum. ? ?

A.
B.
C.
D.
E.

Mathematics

For the given function g(x), find a function f(x) such that (f?g)(x) = x.g(x) = -18x

A. f(x) = -
B. f(x) = - 
C. f(x) = 18x
D. f(x) = - 

Mathematics