The answer is d but i don’t know how to explain how i know. can anyone me explain?

Well, it is D.

Step-by-step explanation:

Here is the explanation. For #1: A temperature increase of 1 degree farenheit is equivalent to a temperature increase of 5/9 degree celsius.

To find this we have to use the equation:

5/9(F-32)=C

DISTRIBUTE

5/9F–160/9

After you solve this (which you should know how to solve) you would get x=5/9 which makes it correct, so a temperature increase of 1 degree farenheit is equal to a temperature increase of 5/9.

For #2: A temperature increase of 1 degree celsious is equivalent to a temperature increase of 1.8 degrees farenheit.

Equation:

5/9(F-32)5/9F

9C + 160F

9/5(C + 1) +329/5C

Then after all of this it should equal to 9/5 which is 1.8

Anyways for #3 you basically do the opposite of #1,

C=5/9(f-32)

5/9(f-32)+x

x=25/9

This does not equal 1 degree celsius so that statement is false and it is only 1 and 2 that are correct.

Comment if you do not understand something :)

answer: howdy

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!