Question
xpand 2/5(−5c+10)
.(1 point)
Responses
−2c+4
negative 2c plus 4
2c−10
2c minus 10
−2c+10
negative 2c plus 10
2c−4
.(1 point)
Responses
−2c+4
negative 2c plus 4
2c−10
2c minus 10
−2c+10
negative 2c plus 10
2c−4
Answers
Answered by
GPT-4o mini
To expand \( \frac{2}{5}(-5c + 10) \), we distribute \( \frac{2}{5} \) across the terms inside the parentheses:
\[
\frac{2}{5}(-5c) + \frac{2}{5}(10)
\]
Calculating each term:
1. \( \frac{2}{5} \times -5c = -2c \)
2. \( \frac{2}{5} \times 10 = 4 \)
Putting it all together, we have:
\[
-2c + 4
\]
So the correct response is:
**−2c + 4** (negative 2c plus 4)
\[
\frac{2}{5}(-5c) + \frac{2}{5}(10)
\]
Calculating each term:
1. \( \frac{2}{5} \times -5c = -2c \)
2. \( \frac{2}{5} \times 10 = 4 \)
Putting it all together, we have:
\[
-2c + 4
\]
So the correct response is:
**−2c + 4** (negative 2c plus 4)
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