Aheated piece of metal cools according to the function c(x) = (.5)x − 7, 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 two hours?

-10.75 Celsius

Step-by-step explanation:

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

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,

⇒, where x is the number of hours.

After two hours, x=2

⇒

⇒f(2)=  -10.75 Celsius

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: