A heated piece of metal cools according to the function c(x)=(.5)^(x−9), where x is measured in hours. A device is added that aids in cooling according to the function h(x)=−x−2. What will be the temperature of the metal after five hours?

Question

-7 Degrees Celsius
6 Degrees Celsius
9 Degrees Celsius
16 Degrees Celsius

Answer 1

The temp of the metal can be given by the function (c+h)(x).

(c+h)(x) = [(0.5)⁵⁻⁹] + [-(5) - 2]
(c+h)(x) = [16] + [-7]
(c+h)(x) = 9

Therefore, the temperature of the metal will be 9 degrees Celcius

Answer 2

thx

Answer 3

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