Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.

A.

?????

B.
?????

C.
?????

D.
?????


Answer: B

Mathematics

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Find the inverse of the function.f(x) =  - 5

A. f-1(x) = 8(x3 + 5) B. f-1(x) = 8(x + 5)3 C. f-1(x) = [8(x + 5)]3 D. f-1(x) = 24(x + 5)

Mathematics

We give an expression describing the number that corresponds to the natural number n. Use this expression to describe a one-to-one correspondence between the natural numbers and one of its subsets.4n - 1

A.

1,2, 3,  4, 5, ...,  n, ...
?? ? ? ? ?
2, 6, 10, 14, 18 ...,  4n - 1, ...

B.
1,2, 3,  4, 5, ...,  n, ...
?? ? ? ? ?
1, 5, 9, 13, 17 ...,  4n - 1 , ...

C.
1,2, 3,  4, 5, ...,  n, ...
?? ? ? ? ?
3, 7, 11, 15, 19 ...,  4n, ...

D.
1,2, 3,  4, 5, ...,  n, ...
?? ? ? ? ?
3, 7, 11, 15, 19 ...,  4n - 1, ...

Mathematics

Solve.The daily number of visitors v to an amusement park was always at least 757 but never more than 1128. Express this as an inequality.

A. 757 < v < 1128 B. 757 ? v ? 1128 C. v < 757 or v > 1128 D. v ? 757 or v ? 1128

Mathematics

Solve the problem.Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with an embroidery of a Great Pyrenees dog on the front. There are fixed costs of $520 to set up for production, and variable costs of $29 per jacket. Write an equation that can be used to determine the total cost, C(x), encountered by Marty's Company in producing x jackets.

A. C(x) = 520 - 29x B. C(x) = 520 + 29x C. C(x) = 520x + 29 D. C(x) = (520 + 29) x

Mathematics