Provide an appropriate response.Explain why no one-to-one correspondence can be established between the elements of {4, 7, 9} and {w, x, y, z}.

What will be an ideal response?


A one-to-one correspondence cannot be established because the sets do not have the same cardinality.

Mathematics

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Solve the problem.Let n(A) = 4, n(B) = 9, and n(A ? B) = 2. Find n(A ? B).

A. 10 B. 11 C. 12 D. 13

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Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.8x2 - 10xt - 3t2

A. (4x - t)(2x + 3t) B. prime C. (4x + t)(2x - 3t) D. (8x + t)(x - 3t)

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Sketch the graph requested from the graph of a rational function y = f(x) shown below.y = f(-x)

A.

B.

C.

D.

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Find matrices A, X, and B such that the linear system is equivalent to the matrix equation AX = B.

A. A = , X = , B = 
B. A = , X = , B = 
C. A =, X = , B = 
D. A = , X = , B = 

Mathematics