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What is the value of the rational expression when x = 0? A.0 B.undefined

User Ian Suttle
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Final answer:

The value of a rational expression when x = 0 depends on the form of the expression. Typically, if evaluating the expression at x = 0 does not result in a division by zero, the expression can be evaluated normally. If it causes division by zero, the expression is undefined.

Step-by-step explanation:

To determine the value of a rational expression when x = 0, we first need to know the specific form of the expression. In general, if the expression can be simplified such that x does not appear in the denominator, then the expression can be evaluated at x = 0. If, however, evaluating the expression at x = 0 results in a division by zero, the expression is undefined.

In the case of an equation of the form ax^2 + bx + c = 0, we can solve for x using the quadratic formula. However, when looking at an expression like x(t) = ¾/1^2 − 1^3 or v(t) = 5t(1 − t) which equals zero at t = 0, and t = 1 s, the value of the expression when x = 0 is simply the constant term, provided that constant term is not in the denominator of a fraction.

If an expression specifically states x^2 + 0.0211x - 0.0211 = 0, we see that this is a quadratic equation rather than a rational expression. Solving this would give the values for x where the equation equals zero rather than the value of the expression for a given x. Without additional context, the question seems to be referring to a rational expression whose evaluation at x = 0 is dependent on its form, particularly whether x appears in the denominator or not.

User Out
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