Subtract: 5/8 - 1/6 =
1/8

1/6

11/24

1/2
(those on top are the answers.)

Solution:

Given that,

We have to subtract the following:

Make the denominators same

Take LCM for denominators

LCM of 8 and 6

List all prime factors for 8 and 6

Prime Factorization of 6 is:  2 x 3

Prime Factorization of 8 is:  2 x 2 x 2  

For each prime factor, find where it occurs most often as a factor and write it that many times

2, 2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 = 24

Therefore,

Thus Subtract: 5/8 - 1/6 = 11/24

30

step-by-step explanation:

idk

i hope i

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!