Question

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 aids in cooling according to the function h(x) = −x − 2. What will be the temperature of the metal after 2 hours?

Answer 1

@PrincessHush

Answer 2

@Deadly_Roses

Answer 3

@pooja195

Answer 4

@ganeshie8 @dan815

Answer 5

so all you do is substitute x = 2 into both equations

so the temperature equation is

t(x) = c(x) + h(x)

so using x = 2


t(2) = c(2) + h(2)

that should give an answer

Answer 6

but where did the 2 come from?

Answer 7

@Hero @ParthKohli

Answer 8

@ikram002p

Answer 9

the 2 is gievn to you... you just need to substitute 2 into both equations to find the temp.

\[Temp = (0.5)^{2 - 5} + (-2 - 2)\]

and calculate the value.

the simplified version is

\[Temp = (0.5)^{-5} - 4\]