SOLUTION: In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worket t hours after starting work could be modele

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Question 190133This question is from textbook Elementary and intermediate algebra
: In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worket t hours after starting work could be modeled by the formula
N(t)= -3t^3 + 23r^2 + 8t
a. Rewrite the formula by factoring the right-hand side completely.
b. Use the factored version of the formula to find N(3).
 This question is from textbook Elementary and intermediate algebra

Answer by nerdybill(7384) About Me  (Show Source):
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In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worket t hours after starting work could be modeled by the formula
N(t)= -3t^3 + 23t^2 + 8t
a. Rewrite the formula by factoring the right-hand side completely.
N(t)= -3t^3 + 23t^2 + 8t
N(t)= (-t)(3t^2 - 23t - 8)
N(t)= (-t)(3t+1)(t-8)
b. Use the factored version of the formula to find N(3).
N(t)= (-t)(3t+1)(t-8)
N(3)= (-3)(3(3)+1)(3-8)
N(3)= (-3)(9+1)(-5)
N(3)= (-3)(10)(-5)
N(3)= (15)(10)
N(3)= 150