To expand the expression [tex]\(5.2(23 - 3.62x)\)[/tex], we need to use the distributive property. The distributive property states that [tex]\(a(b + c) = ab + ac\)[/tex]. Applying this property, we distribute [tex]\(5.2\)[/tex] to both terms inside the parentheses:
1. Distribute [tex]\(5.2\)[/tex] to [tex]\(23\)[/tex]:
[tex]\[
5.2 \cdot 23 = 119.6
\][/tex]
2. Distribute [tex]\(5.2\)[/tex] to [tex]\(-3.62x\)[/tex]:
[tex]\[
5.2 \cdot -3.62x = -18.824x
\][/tex]
So, the expanded expression is:
[tex]\[
119.6 - 18.824x
\][/tex]
Therefore, the correct answer is:
[tex]\[
\text{B. } 119.6 - 18.824x
\][/tex]
