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3 years ago

How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?

Mathematics

1 answer:

Leni [432]3 years ago

6 0

Answer:

Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.

Step-by-step explanation:

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Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV?

lawyer [7]

25^2 - 20^2 = A^2
225 = A^2
The sq root of 225 = 15
The width of Donna’s TV is 15 inches.
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3 years ago

On a multiple-choice test. Abby randomly guesses on all seven questions. Each question

Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Seven questions:

This means that $n = 7$

Each question has four choices.

Abby guesses, which means that $p = \frac{1}[4} = 0.25$

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173$

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3 years ago

Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the num

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3 years ago

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Find the GCF of each pair of monomials. <br> 1). 20, 45x

Helga [31]

20 and 45x

We look for a number that can go into both numbers.

5 into 20 is 4 and 5 into 45x is 9x.

5: 20 45x

4 9x

So no other number can go into 4 and 9x again.

So the GCF of 20 and 45x is 5.

Hope this explains it.

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3 years ago

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A new amusement park presold discounted tickets for the opening day as well as upon arrival at the park the opening day ticket s

julia-pushkina [17]

Answer:

-64 tickets per hour

Step-by-step explanation:

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3 years ago

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How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?​

How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?