Aheated 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 5 hours? −7° celsius 6° celsius 9° celsius 16° celsius

9° Celsius option C.

Step-by-step explanation:

Heated piece of metal cools according to the function

Now a device has been added that aids in cooling the metal according to the function.

h(x) = (-x -2)

Then temperature of the metal after x hours will be

g(x) = c(x) + h (x)

      =

At x = 5  g (5) =

=

=

= 16 - 7

= 9° Celsius

Option C is the answer.

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