Fill in the blanks:
(a) Given sets A and B, to prove that (A ? B) ? (A ? B) ? A, we suppose that x ? __________ and we must show that x ? __________.
(b) By definition of union, to say that x ? (A ? B) ? (A ? B) means that __________.
a. (A ? B) ? (A ? B); A
b. x ? (A ? B) or x ? (A ? B)
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Evaluate the polynomial for the given values of the variables.Evaluate xy3- y2 + 4xy + 2 for x = 3 and y = -1.
A. -8 B. -12 C. -14 D. 12
Solve the problem.If the Hamilton Method is used to apportion legislative seats to two original states and a new state with the populations given in the table (in thousands), then one of the states loses a seat to another if the original number of seats being apportioned is 48. Which state loses a seat to which state, and does the New States paradox occur?
A. a loses a seat to b, no B. b loses a seat to a, yes C. b loses a seat to a, no D. a loses a seat to b, yes
Write a general term an for the sequence. Assume that n begins with 1.6, ,
,
, . . .
A. an =
B. an =
C. an =
D. an =
Find the exact value of the indicated trigonometric function of the angle ? in the figure. Rationalize the denominator where necessary.Find cot ?.
A.
B.
C.
D.