In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula. Rewrite the formula by factoring the right-hand side completely. b) Use the factored version of the formula to find N N (3)=3(3)^3+23(3)^2+8(3).
Something is missing here.
n(t)=-3t^+23t^2=8t Rewrite the formula by factoring the right-hand side
completely.
b) Use the factored version of the formula to find N(3) maximum number of components assembled
-3t^3 + 23t^2+8t
-t(3t^2-23t-8)
-t(3t+1)(t -8)
check that.
To find the factored version of the formula, let's first rewrite it:
N(t) = 3t^3 + 23t^2 + 8t
To factor the right-hand side completely, we can look for common factors first. In this case, there are no common factors among the terms.
Now, we can try to factor the polynomial further by grouping. Let's group the terms as follows:
N(t) = (3t^3 + 23t^2) + (8t)
Now, we can factor out the common terms from each group:
N(t) = t^2(3t + 23) + 8t
The factored version of the formula is:
N(t) = t(t^2 + 23t + 8)
Now, let's use the factored version of the formula to find N(3):
N(3) = 3(3)^2 + 23(3) + 8(3)
N(3) = 3(9) + 23(3) + 8(3)
N(3) = 27 + 69 + 24
N(3) = 120
Therefore, N(3) is equal to 120.