Question

Add and subtract the rational expressions. 9t-4/5t + [ 6t - 1 / 5t - 2t-3/5t] Which statements are true about the process for adding and subtracting the rational expressions? Check all that apply. a. The expression is not defined when t = 0. b. The first step is to use the order of operations and simplify the expression inside the parentheses. c. The denominator will be simplified to 15t. d. The numerator will be simplified to 13t-8. e. The numerator will be simplified to 13t-2

Answer 1

To add and subtract rational expressions, you need a common denominator. Simplify the expression inside the parentheses and then add and subtract the rational expressions to determine the numerator.

Step-by-step explanation:

To add and subtract rational expressions, you need to have a common denominator. In this case, the common denominator is 5t. First, simplify the expression inside the parentheses by combining like terms:

6t - 1 / 5t - 2t - 3 / 5t = (6t - 1 - 2t - 3) / 5t = (4t - 4) / 5t

Now, you can add and subtract the rational expressions:

(9t - 4) / 5t + (4t - 4) / 5t = (9t + 4t - 4) / 5t = (13t - 4) / 5t

Therefore, the statements that are true about the process of adding and subtracting the rational expressions are:

c. The denominator will be simplified to 15t.

d. The numerator will be simplified to 13t-8.

e. The numerator will be simplified to 13t-2.