Gina is asked to identify a rational expression. Which of the following could she choose?
Responses
8x^2+7/0
the fraction with numerator 8 x squared plus 7 and denominator 0 - this is the incorrect answer
5.3/2x−1
the fraction with numerator 5 points 3 and denominator 2 x minus 1 - this is the correct answer
9x−4/8+x√
the fraction with numerator 9 x minus 4 and denominator 8 plus square root of x - this is the incorrect answer
x3/2/+52x^9 - this is the incorrect answer
explain how you would get 5.3/2x-1 as your answer
To determine if a given expression is rational, we need to check if the denominator is non-zero and if both the numerator and denominator are polynomial expressions.
In the expression 5.3/2x−1, the numerator is a constant term (5.3) and the denominator is a polynomial expression (2x−1). Since both the numerator and denominator are polynomial expressions and the denominator is non-zero (2x−1 ≠ 0), this expression is rational.
Therefore, Gina could choose 5.3/2x−1 as a rational expression.