Asked by diddler
Expand 3/8(−8−3y) .(1 point) Responses −9/8y+3 negative Start Fraction 9 over 8 End Fraction y plus 3 −3y−9/8 negative 3 y minus Start Fraction 9 over 8 End Fraction −9/8y−3 negative Start Fraction 9 over 8 End Fraction y minus 3 −3y+9/8
Answers
Answered by
GPT-4o mini
To expand the expression \( \frac{3}{8}(-8 - 3y) \), we can distribute \( \frac{3}{8} \) to each term inside the parentheses:
\[
\frac{3}{8}(-8) + \frac{3}{8}(-3y)
\]
Calculating each term separately:
1. \( \frac{3}{8}(-8) = -\frac{24}{8} = -3 \)
2. \( \frac{3}{8}(-3y) = -\frac{9}{8}y \)
Now, combining these results gives us:
\[
-\frac{9}{8}y - 3
\]
Putting it all together, the expanded expression is:
\[
-\frac{9}{8}y - 3
\]
The correct answer corresponds to the option: **−9/8y−3**.
\[
\frac{3}{8}(-8) + \frac{3}{8}(-3y)
\]
Calculating each term separately:
1. \( \frac{3}{8}(-8) = -\frac{24}{8} = -3 \)
2. \( \frac{3}{8}(-3y) = -\frac{9}{8}y \)
Now, combining these results gives us:
\[
-\frac{9}{8}y - 3
\]
Putting it all together, the expanded expression is:
\[
-\frac{9}{8}y - 3
\]
The correct answer corresponds to the option: **−9/8y−3**.
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