Question

An icicle drips at a rate that can be represented by the function f(x) = −x2 11x − 18, where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. when f(x) is a negative number, the icicle is not dripping. determine the values when the icicle starts and stops dripping. x = 2 and x = 9 x = −2 and x = 9 x = 2 and x = −9 x = −2 and x = −9

Answer 1

Quadratic functions are functions that have a leading degree of 2. The values when the icicle starts and stops dripping  is at x = 2 and 9

Application of intercepts of a function

Quadratic functions are functions that have a leading degree of 2.

Given the equation that represents the rate at which an icicle drips below:

f(x) = −x^2 + 11x − 18

If the icicle is not dripping at the point where f(x) is a negative number, hence point where the icicle starts and stops dripping is the point where f(x) =0

Substitute

−x^2 + 11x − 18 = 0

x^2 - 11x + 18 = 0

x^2 - 9x - 2x + 18 =0
x(x - 9)-2(x-9) = 0
x = 2 and 9

Hence the values when the icicle starts and stops dripping  is at x = 2 and 9

Learn more on intercepts here: brainly.com/question/24990033

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