Simplify the expression.

Question

−1/2(−6x+3)


(1 point)
Responses

−3x−3
negative 3 x minus 3

−3x+3/2
negative 3 x plus 3 halves

3x+3
3 x plus 3

3x−3/2

Answer 1

To simplify the expression \(-\frac{1}{2}(-6x + 3)\), follow these steps:

1. Distribute \(-\frac{1}{2}\) to both terms inside the parentheses: \[ -\frac{1}{2} \times -6x + -\frac{1}{2} \times 3 \]

2. Calculate each term:

   • For the first term: \[ -\frac{1}{2} \times -6x = 3x \]
   • For the second term: \[ -\frac{1}{2} \times 3 = -\frac{3}{2} \]

3. Combine the results: \[ 3x - \frac{3}{2} \]

So the simplified expression is: \[ 3x - \frac{3}{2} \]

Therefore, the correct response is: 3x − 3/2.