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Find an Equation for the Rational Function Graph F(x)=−2(x−3)2+3(x−3)−52(x−3)+30F ( x ) = - \frac { 2 ( x - 3 ) ^ { 2 } + 3 ( x - 3 ) - 5 } { 2 ( x - 3 ) + 30 }

Question 425

Multiple Choice

Find an equation for the rational function graph.
-As one approaches a certain sound source, the sound intensity in arbitrary units increases according to the following function of time: F(x) =−2(x−3) 2+3(x−3) −52(x−3) +30F ( x ) = - \frac { 2 ( x - 3 ) ^ { 2 } + 3 ( x - 3 ) - 5 } { 2 ( x - 3 ) + 30 } . Starting at x=0x = 0 , wher the source of sound is first sensed, how much time elapses until maximum sound intensity is felt? Round the result to the nearest hundredth.


A) 14.88sec14.88 \mathrm { sec }
B) 0.22sec0.22 \mathrm { sec }
C) 26.14sec26.14 \mathrm { sec }
D) 2.14sec2.14 \mathrm { sec }

Correct Answer:

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