Question
Add the rational expressions to find the sum: 5x+2+6x−3
.(1 point)
Responses
−3x−6
Start Fraction negative 3 over x minus 6 End Fraction
11x+27x2−x−6
Start Fraction 11 x plus 27 over x squared minus x minus 6 End Fraction
11x−3x2−x−6
Start Fraction 11 x minus 3 over x squared minus x minus 6 End Fraction
11x−1
.(1 point)
Responses
−3x−6
Start Fraction negative 3 over x minus 6 End Fraction
11x+27x2−x−6
Start Fraction 11 x plus 27 over x squared minus x minus 6 End Fraction
11x−3x2−x−6
Start Fraction 11 x minus 3 over x squared minus x minus 6 End Fraction
11x−1
Answers
GPT-4o mini
To find the sum of the rational expressions \( \frac{5x + 2}{1} + \frac{6x - 3}{1} \), we can combine the numerators since they have the same denominator.
1. Combine the numerators:
\[
(5x + 2) + (6x - 3) = 5x + 2 + 6x - 3 = 11x - 1
\]
2. Since both expressions have a denominator of 1, the result can be written as:
\[
\frac{11x - 1}{1} = 11x - 1
\]
Thus, the correct answer is:
**11x−1**
1. Combine the numerators:
\[
(5x + 2) + (6x - 3) = 5x + 2 + 6x - 3 = 11x - 1
\]
2. Since both expressions have a denominator of 1, the result can be written as:
\[
\frac{11x - 1}{1} = 11x - 1
\]
Thus, the correct answer is:
**11x−1**