HELP, I'VE BEEN STUCK ON THIS FOR LIKE TWO HOURS Provide the missing statement and reasons
Given: 9(x - 2) + 32 = 75
prove: x = 61/9

true

Step-by-step explanation:

9 times x is equal to 9x then 9 times -2 is equal to -18 so when u are done distributing your expression should look like 9x+18+32=75 then minus 35 on both sides 35 minus 35 is equal to 0 and 75 minus 35 is equal to 43 so your expression should now look like 9x-18=43 add 18 so -18 plus 18 is equal to 0 and 43+18 is equal to 61 now your expression should look like 9x=61 divide by 9 and x is equal to 61/9 or you can just say i filled n the x as 61/9 and solved it .

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!