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2 years ago

Find a polynomial function of degree 3 such that f(10)=17 and the zeros of f are 0, 5 and 8

Mathematics

1 answer:

fomenos2 years ago

3 0

Step-by-step explanation:

Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.

We know that f(10) = 17.

=> A(10)(10 - 5)(10 - 8) = 17

=> A(10)(5)(2) = 17

=> 100A = 17, A = 0.17.

Hence the answer is f(x) = 0.17x(x - 5)(x - 8).

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Answer:

the probability that the project will be completed in 95 days or less, P(x ≤ 95) = 0.023

Step-by-step explanation:

This is a normal probability distribution question.

We'll need to standardize the 95 days to solve this.

The standardized score is the value minus the mean then divided by the standard deviation.

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The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr

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Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

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So we can multiply 50 minutes by the fraction $\frac{1 hour}{60 minutes}$ , so we could convert 50 minutes to hours.

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If we simplify the fraction, we have:

$50 minutes = \frac{5}{6}hours$

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Answer:

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Step-by-step explanation:

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