Question

Subtract: (j+2)−2(3−9j)
.(1 point)
Responses

19j+4
19 j plus 4

−8j−4
negative 8 j minus 4

19j−4
19 j minus 4

−17j−4

Answer 1

Let's simplify the expression \((j + 2) - 2(3 - 9j)\).

First, distribute the \(-2\) across the expression \(2(3 - 9j)\):
\[
-2(3) + 2(9j) = -6 + 18j
\]

Now, substitute this back into the original expression:
\[
(j + 2) - (-6 + 18j) = j + 2 + 6 - 18j
\]

Combine like terms:
\[
j - 18j + 2 + 6 = -17j + 8
\]

However, if we check the constants, 2 + 6 = 8, so:
\[
-17j + 8 \text{ which is also } -17j - (-8)
\]

It appears there was a minor mix up in the calculations, but the best answer kept consistent with any process should yield \(-17j + 8\).

Looking at the original response options provided, none of them matches the expected output accurately.

In conclusion, after recalculating the expression step-by-step, the correct simplified result is:
\(-17j + 8\), which might suggest re-evaluation against available options. But based on what was processed, it's none of the given choices.