Homework Help: Math

Posted by Kristi on Monday, October 15, 2012 at 12:20am.

The number N of bacteria in a refrigerated food is given by
N(T) = 10T2 − 20T + 700, 1 Ём T Ём 20where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by
T(t) = 5t + 2, 0 Ём t Ём 6 where t is the time in hours.
(a) Find the composition N(T(t)).
N(T(t)) = 1
, 0 Ём t Ём 6

Math - Steve, Monday, October 15, 2012 at 10:13am
N(t) = 10t^2 - 20t + 700
N(T(t)) = 10T^2 - 20T + 700
= 10(5t+2)^2 - 20(5t+2) + 700
= 250t^2 + 100t + 700

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