Questions: Which expression is equivalent to (4.5 j+6)(-2.3) ? -24.15 j^2 -10.35 j^2-13.8 j 10.5 j^2-13.8 j 2.2 j^3+6

Transcript text: Which expression is equivalent to $(4.5 j+6)(-2.3)$ ? $-24.15 j^{2}$ $-10.35 j^{2}-13.8 j$ $10.5 j^{2}-13.8 j$ $2.2 j^{3}+6$

Solution

Solution Steps

To find the equivalent expression, we need to distribute the multiplication of $(4.5j + 6)$ by $-2.3$. This involves multiplying each term inside the parentheses by $-2.3$.

Step 1: Distributing the Expression

We start with the expression $(4.5j + 6)(-2.3)$. To simplify this, we apply the distributive property:

\[ (4.5j)(-2.3) + (6)(-2.3) \]

Step 2: Calculating Each Term

Now, we calculate each term separately:

For the first term: \[ 4.5j \cdot -2.3 = -10.35j \]
For the second term: \[ 6 \cdot -2.3 = -13.8 \]

Step 3: Combining the Results

Combining both results, we have:

\[ -10.35j - 13.8 \]

Final Answer

Thus, the expression equivalent to $(4.5j + 6)(-2.3)$ is

\[ \boxed{-10.35j - 13.8} \]

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