In a study of worker efficiency at Wong Labs 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: N(t) = -3t^3 + 23t^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)
2007-08-03 16:17:55 · 3 answers · asked by mustang_muscle06 1 in Science & Mathematics ➔ Mathematics
N(t)
= -t(3t^2-23t-8)
= -t(3t^2+t-24t-8)
= -t{t(3t+1)-8(3t+1)
= -t(3t+1)(t-8)
b)N(3)
= -3(9+1)(3-8)
=-3*10*-5
=150
2007-08-03 16:27:44 · answer #1 · answered by alpha 7 · 1⤊ 0⤋
N(t) = t(-t+8)(3t+1)
N(3) = 3 (-3+8)(3*3+1)
= 3(5)(10) = 150 number of components assembled in 3 hours
2007-08-07 15:48:31 · answer #2 · answered by Anonymous · 0⤊ 0⤋
This is pretty simple: N(t) = -3t^3+23t^2+8t
N(t) = t(-3t^2+23t+8) = t(-3t -1)(t-8)
N(3) = 3(-9-1)(3-8) =3*(-10)(-5) = 150
2007-08-03 16:26:57 · answer #3 · answered by nyphdinmd 7 · 0⤊ 0⤋