Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the natural numbers and the given set. Be sure to indicate the general correspondence.{3, 6, 9, 12, ...}

A.

1,2,3,4,...,n,...
3,6,9,12,...,n,...

B.
0,1,2,3,...,n,...
3,6,9,12,...,  3n,...

C.
1,2,3,4,...,n,...
3,6,9,12,...,  3n,...

D.
1,2,3,4,...,n,...
3,6,9,12,...,  4n,...


Answer: C

Mathematics

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Rationalize the denominator. Assume that all variables represent positive real numbers.

A.
B.
C. 7p
D. 3

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Factor.4 - 16x + 15x2

A. (3x + 2)(5x + 2) B. (15x - 1)(x - 4) C. (15x - 2)(x - 2) D. (3x - 2)(5x - 2)

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Solve the inequality. ? 0

A. (-?, -1] or 
B. (-?, -2) or 
C. (-2, -1] or 
D. (-?, -2] or 

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E ( X )

The probability density function of X is f (x) = 5 x6 over [1, ?)

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