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Lera25 [3.4K]
3 years ago
9

A heated piece of metal cools according to the function c(x) = (.5)x − 7, 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 two hours?
Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
7 0

Answer: -10.75 Celsius

Step-by-step explanation:

Here, A heated piece of metal cools according to the function,

c(x) = (.5)^x-7

Where x represents the number of hours.

Again according to the question, A device is added that aids in cooling according to the function h(x) = -x - 2.

Therefore the resultant function, f(x) = c(x)+h(x)

Thus, f(x)=(.5)^x - 7 - x- 2

⇒f(x)=(.5)^x - x -9, where x is the number of hours.

After two hours, x=2

f(2)= (.5)^2 - 2 -9

⇒f(2)= (.5)^2 - 11

⇒f(2)=  -10.75 Celsius


Lady bird [3.3K]3 years ago
4 0

The correct answer to this is - 4

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