Simplify the expression.
9/4x +4 +2x
(1 Point)
Responses
15x + 12
15x + 12
5x+4
5x+4
x+4
x+4
11/3x+4
5x + 4
To simplify the expression 9/4x + 4 + 2x, we first combine like terms. The terms that involve the variable x are 9/4x and 2x. When we add them together, we get:
9/4x + 2x = (9/4 + 8/4)x = 17/4x
So now the expression becomes 17/4x + 4. Since there are no more like terms to combine, this is the simplified expression.
To simplify the expression 9/4x + 4 + 2x, we need to combine like terms.
First, let's simplify the terms with the variable x. We have 9/4x and 2x. To combine them, we need to have the same denominator, so we multiply 9/4 by x/x to get (9x/4x).
Now we have (9x/4x) + 4 + 2x.
Next, let's combine the terms without the variable x. We have 4, which can be written as 4/1.
Adding them together, we have (9x/4x) + (4/1) + 2x.
To add the fractions, we need a common denominator. The common denominator is 4x, so we multiply (4/1) by (x/x) to get (4x/4x).
Now we have (9x/4x) + (4x/4x) + 2x.
Adding the fractions with the same denominator, we have (9x + 4x + 8x)/4x.
Combining the like terms, we have (21x/4x) + 8x.
To simplify further, we can divide 21x by 4x to get (21/4) and combine it with 8x.
Therefore, the simplified expression is (21/4) + 8x, which can also be written as 5x + 4.