math.29

# Q35 if g x x 4 for all x and f x x x 5 2 2 for all

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Q35: If g ( x ) = x + 4 for all x and f ( x ) = x x 5 2 2 - for all nonzero x , then f ( x ) = g ( x ) for which of the following values of x ? 11

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A. –5 B. –3 C. 1 D. 3 E. 5 Answer: ------------------------------------------------------------------------------------------------------------ Q36: Is x > 5 ? (1) x 2 > 25 (2) 2 x + 7 > 0 ------------------------------------------------------------------------------------------------------------ Q37: Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 2 1 of capacity in 3 hours and a second inlet pipe fills the same empty tank to 3 2 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity? ------------------------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------------------------ 12
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