Question

Algebra Two Help:
A heated piece of metal cools according to the function c(x) = (.5)x − 10, where x is measured in hours. A device is added that aids in cooling according to the function h(x) = −x − 1. What will be the temperature of the metal after five hours?

−6° Celsius

26° Celsius

32° Celsius

38° Celsius

Answer 1

is it \[C(x) = (0.5)^{x} - 10 \]

Or,

\[C(x) = (0.5)x -10\]

Answer 2

[C(x) = (0.5)x -10\]

Answer 3

There's a difference, one has an exponent

Answer 4

Ok, it is c(x)=(.5)^(x−10)

Answer 5

I'm mid way through it and something's wrong, is the 10 also an exponent?

Answer 6

yes

Answer 7

Idk the wording is odd... The closest I got was -6 when I put -5-1

for c(x) I'm not sure if you specified correctly. >.<

Answer 8

@bibby Bestieeee idk they're asking for ;~;

Answer 9

my brain is not processing these words hold up
You might have to add the functions

Answer 10

I'm not sure but I think they are wanting me to somehow combine the two functions and then solve for c(5). I can solve for c(5), but I'm not sure how to combine them

Answer 11

(.5)x − 10 + −x − 1

Answer 12

I tried combining them and got a loong decimal, I think in c(x) only x is the exponent.

Answer 13

S(he) said there's an exponent 0.5^x-10 .____.

Answer 14

same thing. (.5)^(x − 10) + −x − 1

Answer 15

fizi can you tell me how you made that .png file and I can show you the exact form the function is in

Answer 16

You can screen shot it, I use tool on the start tab

Answer 17

ms paint

Answer 18

It'd be -5 if the 10 is also an exponent,

0.5^5 = 0.03125 - 10 = -9.96875

.5^-5 = 32

Ohhh wait, its 26 degree's I think :O

Answer 19

-6 + 32 or 32-6 = 26 :3

Answer 20

-6 is from h(x) :>

Answer 21

I got the same thing doing it in my head. is that a choice?

Answer 22

it says 26 idk >.>

Answer 23

Choose B. 2 different people got it

Answer 24

yeah 26 is a choice but how did you come to that?

Answer 25

Read above >.<

Answer 26

plug in 5 into:(.5)^(x − 10) + −x − 1

.5^-5 = 1/((.5)^5) + [-5-1]
1/((.5)^5) -6
etc.

Answer 27

OH! Thank you guys so much!

Answer 28

:3

Answer 29

please be my internet girlfriend and give fiz the medal

Answer 30

What le fok >.>

Answer 31

owned

Answer 32

I'm a guy...

Answer 33

:3 let's go gf

Answer 34

same but I identify as an anime girl

Answer 35

>.< bib les go

Answer 36

=.= do you actually have that on your computer?? >.> freak