At the end of 2008, the price of a gallon of milk was $3.68. What was the price, in dollars, of a gallon of milk at the end of 2013?

On a certain fall day in Anchorage, Alaska, the temperature at 1:00 a. m. was 21.6°C. At 1:00 p. m. (12 hours later), the temperature had risen to 3.2°C. On average, how much did the temperature change, in degrees, each hour from 1:00 a. m. to 1:00 p. m.?

21.6° per hour

20.4° per hour

0.4° per hour

1.6° per hour

Please show your work.

answer is 67%

step-by-step explanation:

a

b

d

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!