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Jessica Zelinka, a Canadian heptathlete won a gold medal in javelin throw at the Pan American games in 2007. Suppose h(t)= -5t^2+15t+1 represents the approximate height, in meters, of a javelin t seconds after it is thrown.

a) Write a statement that corresponds to the quotient: h(t)/(t-b), where b is a positve integer.

b) Show that the statement in part a) may be written as Q(t)= (h(t)-h(b))/(t-b).

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