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, start by combining the like terms.
The terms that contain ww are 9.8w9.8w and 6.7w6.7w. Combine them: 9.8w+6.7w=16.5w9.8w + 6.7w = 16.5w
The other terms are constants or terms with different variables: 6.46.4 and −1.3i-1.3i. These do not combine with the ww-terms because they are not like terms. Thus, the expression becomes: 16.5w+6.4−1.3i16.5w + 6.4 – 1.3i
Next, compare this simplified expression with the given options. None of the options match this exact form, but let’s see if there’s a mistake in one of the options or a misunderstanding.
The correct equivalent expression from the options would be closest to 16.5w+7.716.5w + 7.7, assuming there’s a typo with the constants. The key takeaway here is that the ww-terms combine, and the constants need to be handled separately.