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galina1969 [7]
3 years ago
6

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 a

ids in cooling according to the function h(x) = −x − 2. What will be the temperature of the metal after five hours? −7° Celsius 6° Celsius 9° Celsius 16° Celsius
Mathematics
2 answers:
MArishka [77]3 years ago
8 0

<u>9 degrees celsius,</u> hope this helped!

GrogVix [38]3 years ago
3 0

Answer:

9° Celsius

Step-by-step explanation:

Given,

The heated piece of metal cools according to the function,

C(x)=(0.5)^{x-9}

After adding the device that cools according the function,

h(x)=-x-2

The new function that shows the final temperature of the metal,

f(x)=C(x)+h(x)  ( Let )

=(0.5)^{x-9}-x-2

Hence, the temperature of the metal after five hours would be,

f(3) = (0.5)^{5-9}-5-2 =0.5^{-4}-7=(\frac{1}{2})^{-4}-7=2^4-7=16-7=9^{\circ}\text{ Celsius}

Third Option is correct.

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