Gina is asked to identify a rational expression. Which of the following could she choose?(1 point)
Responses
5.32x−1
Start Fraction 5.3 over 2 x minus 1 End Fraction
8x2+70
Start Fraction 8 x squared plus 7 over 0 End Fraction
9x−48+x√
Start Fraction 9 x minus 4 over 8 plus Start Root x End Root End Fraction
x32+52x9
A rational expression is a ratio of two polynomials. Therefore, Gina could choose:
5.32x−1
Start Fraction 5.3 over 2 x minus 1 End Fraction
and
x^3/2+5/2x^9
These can be written as ratios of two polynomials. Any expression with square roots or denominators of zero would not be considered a rational expression.
Gina is asked to identify a rational expression. A rational expression is a fraction with polynomial expressions in the numerator and denominator. From the given options, the only expression that fits this criteria is:
Start Fraction 5.3 over 2x minus 1 End Fraction
To identify a rational expression, Gina needs to look for an expression that can be written as a fraction where both the numerator and denominator are polynomials.
Let's analyze each option to see if it fits this criteria:
1. 5.32x−1: This is not a rational expression because it is not written as a fraction.
2. Start Fraction 5.3 over 2 x minus 1 End Fraction: This is a rational expression since it is written as a fraction and both the numerator (5.3) and the denominator (2x - 1) are polynomials.
3. Start Fraction 8 x squared plus 7 over 0 End Fraction: This is not a rational expression because the denominator is 0, which is not allowed in a fraction.
4. Start Fraction 9 x minus 4 over 8 plus Start Root x End Root End Fraction: This is not a rational expression since it includes a square root in the denominator, which means it is not a polynomial.
5. x32+52x9: This is not a rational expression because it is not written as a fraction.
Therefore, the only option that Gina could choose as a rational expression is option 2: Start Fraction 5.3 over 2 x minus 1 End Fraction.