Question

The value of x is to be randomly selected from the integers from 1 to 10, inclusive, and then substituted into the equation y = x2 – 4x + 3. What is the probability that the value of y will be negative?

Answer 1

Answer: 1/10

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Step-by-step explanation:

Plug the values from this set {1,2,3,4,5,6,7,8,9,10} into the given equation y = x^2 - 4x + 3. You should get the table of values you see in the attached image below. Only one y value is negative, and that is y = -1 which happens when x = 2 (marked as point B). Otherwise, the y values are either 0 or positive. So we have 1 negative y value out of 10 y values total giving us the final answer 1/10.