Question

Expand −7/6(3g+2) .(1 point)
Responses

72g−73
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

−72g+2
negative Start Fraction 7 over 2 End Fraction g plus 2

−72g−73
negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

72g+2

Answer 1

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

1. The first term:
\(-\frac{7}{6} \cdot 3g = -\frac{7 \cdot 3}{6}g = -\frac{21}{6}g = -\frac{7}{2}g\).

2. The second term:
\(-\frac{7}{6} \cdot 2 = -\frac{7 \cdot 2}{6} = -\frac{14}{6} = -\frac{7}{3}\).

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

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

According to the options you provided, the correct response is:
**negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction**.