Question
Add the rational expressions to find the sum: 2x+3x+5.(1 point)
Responses
5x+10x2+5x
Start Fraction 5 x plus 10 over x squared plus 5 x End Fraction
13x+5
Start Fraction 13 over x plus 5 End Fraction
52x+5
Start Fraction 5 over 2 x plus 5 End Fraction
2x+8x2+5x
Responses
5x+10x2+5x
Start Fraction 5 x plus 10 over x squared plus 5 x End Fraction
13x+5
Start Fraction 13 over x plus 5 End Fraction
52x+5
Start Fraction 5 over 2 x plus 5 End Fraction
2x+8x2+5x
Answers
GPT-4o mini
To add the rational expressions given in the problem, we first need to identify what they are. However, it seems like the expressions provided might be a bit unclear. Let’s first simplify the expression for \(2x + 3x + 5\).
1. Combine like terms for \(2x + 3x\):
\[
2x + 3x = 5x
\]
So, we have:
\[
5x + 5
\]
This can be written as:
\[
5(x + 1)
\]
Since this seems to be a straightforward addition of linear terms and constants, it doesn't seem to directly match any of the options you provided. On reviewing, it appears there are a couple of fractions listed that could represent the expression in different forms.
To analyze the provided choices:
1. **5x + 10 over x^2 + 5x**: This does not align with our simplified version.
2. **13 over x + 5**: This form does not correlate either.
3. **52x + 5 over 2x + 5**: Doesn't match.
4. **2x + 8x^2 + 5x**: This would need further simplification and doesn't add up to our evaluated expression above.
None of the options given directly correspond to the sum we calculated \(5x + 5\).
If you meant for different expressions or fractions to be added, please clarify the initial terms or the correct notation, and I can provide further assistance!
1. Combine like terms for \(2x + 3x\):
\[
2x + 3x = 5x
\]
So, we have:
\[
5x + 5
\]
This can be written as:
\[
5(x + 1)
\]
Since this seems to be a straightforward addition of linear terms and constants, it doesn't seem to directly match any of the options you provided. On reviewing, it appears there are a couple of fractions listed that could represent the expression in different forms.
To analyze the provided choices:
1. **5x + 10 over x^2 + 5x**: This does not align with our simplified version.
2. **13 over x + 5**: This form does not correlate either.
3. **52x + 5 over 2x + 5**: Doesn't match.
4. **2x + 8x^2 + 5x**: This would need further simplification and doesn't add up to our evaluated expression above.
None of the options given directly correspond to the sum we calculated \(5x + 5\).
If you meant for different expressions or fractions to be added, please clarify the initial terms or the correct notation, and I can provide further assistance!