Question

Look at the attached photo

Answer 1

D,
`(1)/(2)x-3`

Explanation:

Remember order of operations: parentheses first, then exponents, then multiplication/division, and finally addition/subtraction.

In this case, since there is no way to further simplify the parentheses, we can leave them be. But the negative sign in front of the parentheses is like multiplying it by -1. It needs to be distributed into the parentheses like so:

`-((1)/(4)x+5)=-(1)/(4)x-5`

We can now substitute that into the expression:

`(3)/(4)x+2-(1)/(4)x-5`

From here, we can combine like terms:

`(2)/(4)x-3`

And finally, we can simplify 2/4 to get:

`(1)/(2)x-3`