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4 years ago

If a polynomial function f(x) has roots 3 and radical 7 what must also be a root of f(x)?

Mathematics

2 answers:

Zepler [3.9K]4 years ago

8 0

Answer:

The answer is -√7

Step-by-step explanation:

∵ The polynomial has roots 3 and √7

∴ It must have root -√7 the conjugate of √7

∴ The roots of f(x) are 3 , √7 , -√7

(one rational and two irrational conjugate to each other)

finlep [7]4 years ago

4 0

Answer: -√7 must also be a root of f(x).

Step-by-step explanation: Given that a polynomial function f(x) has roots 3 and radical 7.

We are to find the other number that must be a root of f(x).

We know that

irrational roots of a polynomial function always occur in conjugate pairs.

That is, if (a + √b) is a root of a polynomial function, then its conjugate pair (a - √b) is also a root of the polynomial function.

For the given polynomial f(x), the given roots are 3 and √7.

Now, $\sqrt7=0+\sqrt 7.$

Then, the other root will be

$0-\sqrt7=-\sqrt7.$

Thus, -√7 must also be a root of f(x).

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Answer:

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Step-by-step explanation:

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The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\lambda x}$

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = 1 - e^{-5\lambda}$

(a) lambda=.5

$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

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4 years ago

Using coupons you spell $91 grocery shopping this is 65% of the total retail price of groceries how much would you have spent if

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$140 because

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3 years ago

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4 years ago

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grigory [225]

9514 1404 393

Answer:

140°

Step-by-step explanation:

Angles 1 and 3 are "corresponding" angles, so are congruent.

∠1 = ∠3

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3 years ago

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