Which expression is equivalent to 9.8w + 6.4 + 6.7w – 1.3i
21.6tw
16.5w + 7.7
21.6
16.5w + 5.1
The correct answer and explanation is:
To simplify the expression 9.8w+6.4+6.7w−1.3i9.8w + 6.4 + 6.7w – 1.3i, you need to combine like terms.
First, group the terms involving ww, which are 9.8w9.8w and 6.7w6.7w.
- 9.8w+6.7w=16.5w9.8w + 6.7w = 16.5w
Next, group the constant terms, which are 6.46.4 and −1.3i-1.3i. These are not like terms, so they cannot be combined. Therefore, the expression simplifies to:
- 16.5w+6.4−1.3i16.5w + 6.4 – 1.3i
However, none of the provided answer choices directly match this form. But if we ignore the term involving ii, we would get 16.5w+6.416.5w + 6.4.
So, based on the given options, the closest match would be:
- 16.5w + 7.7 (This is the closest option, though it doesn’t exactly match the simplified expression.)
The presence of ii in the expression means the problem might involve multiple variables or be a part of a more complex equation, but without further context or clarification, we can’t combine the ii term with the others. Therefore, it is important to focus on the like terms that can actually be combined.