Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.It is not the case that Jim does not play football and Michael does not play basketball.

A. ~(~p ? ~q)
B. ~p ? ~q
C. ~(p ? q)
D. ~(~p ? ~q)


Answer: A

Mathematics

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Express as a sum, difference, and product of logarithms, without using exponents.log17 

A. log17 3 ?  log17 m ÷ log17 n
B. log17 (3) + log17 n
C. log17 n - log17 3 -  log17 m
D. log17 3 +  log17 m - log17 n

Mathematics

Sketch the graph and show all local extrema and inflection points.y = x1/3(x2 - 252)

A. Min: (0,0)
No inflection points


B. Local max: (0,0), min: 
Inflection points: 


C. No extrema
Inflection point: (0,0)


D. Local max: , min: 
Inflection point: (0,0)


Mathematics

Factor completely. If the polynomial is prime, say so.16p4 - 81q4

A. (2p + 3q)(2p - 3q)(4p2 + 9q2) B. (2p + 3q)3(2p - 3q) C. (2p + 3q)(2p - 3q)(4p2 - 9q2) D. (2p + 3q)(2p + 3q)(4p2 - 9q2)

Mathematics

Find the domain of the logarithmic function.f(x) = log5(x - 9)2

A. (-9, ?) B. (-?, 0) or (0, ?) C. (-?, 9) or (9, ?) D. (9, ?)

Mathematics