Question

Expand −7/6(3g+2) .(1 point) Responses −7/2g−7/3 negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction −7/2g+2 negative Start Fraction 7 over 2 End Fraction g plus 2 7/2g−7/3 Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction 7/2g+2

Answer 1

To expand the expression \(-\frac{7}{6}(3g + 2)\), we will distribute \(-\frac{7}{6}\) to both terms inside the parentheses:

1. Multiply \(-\frac{7}{6}\) by \(3g\): \[ -\frac{7}{6} \cdot 3g = -\frac{21}{6}g = -\frac{7}{2}g \]

2. Multiply \(-\frac{7}{6}\) by \(2\): \[ -\frac{7}{6} \cdot 2 = -\frac{14}{6} = -\frac{7}{3} \]

Now, we combine these results: \[ -\frac{7}{2}g - \frac{7}{3} \]

Thus, the expanded expression is: \[ -\frac{7}{2}g - \frac{7}{3} \]

The correct response is: −7/2g − 7/3.