Final answer:
The expression (x^2-3x-18)/(x-6) represents a rational function. By canceling out common factors, the simplified expression is x + 3.
Step-by-step explanation:
The expression (x^2-3x-18)/(x-6) represents a rational function, where the numerator is a quadratic expression and the denominator is a linear expression. To determine the movement of the progress bar, we need to find the factors of the numerator and the denominator and cancel out common factors:
(x^2 - 3x - 18)/(x - 6) = [(x - 6)(x + 3)]/(x - 6)
We can cancel out the common factor (x - 6) from the numerator and denominator:
(x^2 - 3x - 18)/(x - 6) = x + 3
Therefore, the simplified expression of (x^2 - 3x - 18)/(x - 6) is x + 3. This means that the movement of the progress bar is linear and increases by a constant value of 3 units for every unit increase in x.