Expand 5/8(−8−3f)

.(1 point)
Responses

−15/8f−5
negative Start Fraction 15 over 8 End Fraction f minus 5

15/8f−5
Start Fraction 15 over 8 End Fraction f minus 5

15/8f+5
Start Fraction 15 over 8 End Fraction f plus 5

−15/8f+5

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
yesterday

To expand the expression \(\frac{5}{8}(-8 - 3f)\), follow these steps:

  1. Distribute \(\frac{5}{8}\) to both terms inside the parentheses:

\[ \frac{5}{8} \cdot (-8) + \frac{5}{8} \cdot (-3f) \]

  1. Calculate each term:

\[ \frac{5}{8} \cdot (-8) = -5 \] \[ \frac{5}{8} \cdot (-3f) = -\frac{15}{8}f \]

  1. Combine the results:

\[ -\frac{15}{8}f - 5 \]

Thus, the expanded expression is:

\(-\frac{15}{8}f - 5\)

The correct response from the options given is:

−15/8f−5 (negative Start Fraction 15 over 8 End Fraction f minus 5).