which expressions are equivalent to -f - 5(2f - 3)? choose all answers that apply: a -11f - 3 b -11f + 15 c…

which expressions are equivalent to -f - 5(2f - 3)? choose all answers that apply: a -11f - 3 b -11f + 15 c none of the above

which expressions are equivalent to -f - 5(2f - 3)? choose all answers that apply: a -11f - 3 b -11f + 15 c none of the above

Answer

Explanation:

Step1: Expand the expression

First, expand $5(2f - 3)$ using the distributive - property $a(b - c)=ab - ac$. Here $a = 5$, $b = 2f$, and $c = 3$. So $5(2f-3)=5\times2f-5\times3 = 10f-15$. Then the original expression $-f - 5(2f - 3)$ becomes $-f-(10f - 15)$.

Step2: Simplify the expression

Remove the parentheses: $-f-(10f - 15)=-f - 10f+15$. Combine like - terms: $(-f-10f)+15=-11f + 15$.

Answer:

B. $-11f + 15$