Question

for 9–14, simplify each expression.

1. $-1.3f + 0.4j - 12 - 1 + 2.9f$

Explanation:

Step1: Combine like terms for \( f \)

We have \(-1.3f\) and \(2.9f\). To combine them, we add their coefficients: \(-1.3 + 2.9 = 1.6\). So the \( f \)-terms combine to \(1.6f\).

Step2: Combine constant terms

We have \(-12\) and \(-1\). Adding these together: \(-12 - 1 = -13\).

Step3: Write the simplified expression

The term with \( j \) remains as \(0.4j\) since there are no other \( j \)-terms. Combining all the simplified parts, we get \(1.6f + 0.4j - 13\).

Answer:

\(1.6f + 0.4j - 13\)