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3 years ago

Please Help!!!!! Prove that polynomials are not closed under division.

1 answer:

5 0

Polynomials are not closed under division. When you divide polynomials it is possible to get quotients with negative exponents or with fractions that have exponents in the denominator, and neither of these could be included in polynomials.

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A bag of marbles contains 4 red marbles, 5 yellow marbles, 2 green marbles, and 7 blue marbles. You draw one marble from the bag

klio [65]

This is an example of probability.

4 0

3 years ago

Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m

Dovator [93]

Option a: $\frac{m^{5} }{162n}$ is the equivalent expression.

Explanation:

The expression is $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ where $m\neq 0, n\neq 0$

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

$\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }$

Cancelling the like terms, we have,

$\frac{3^{-3}m^{5} n^{-1}}{6 }$

This equation can also be written as,

$\frac{m^{5}}{3^{3}6 n^{1} }$

Multiplying the terms in denominator, we have,

$\frac{m^{5} }{162n}$

Thus, the expression which is equivalent to $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ is $\frac{m^{5} }{162n}$

Hence, Option a is the correct answer.

8 0

3 years ago

Read 2 more answers

The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet

aleksklad [387]

Answer:

The length of the actual train's car is 67.5 feet.

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be $x.$

And, the length of the car of model train = $5\ inches\ long.$

According to the scale of the model train, 1 inch is equivalent to 13.5 ft.

Thus, 5 inches is equivalent to $x.$

Now, to get the length of actual train's car using cross multiplication method:

$\frac{1}{13.5} =\frac{5}{x}$

By cross multiplying we get:

$x=67.5\ feet.$

Therefore, the length of the actual train's car is 67.5 feet.

7 0

3 years ago

(02.03)Figure ABC is reflected about the x-axis to obtain figure A'B'C':

faust18 [17]

Answer:

B.(–2, –7)

Step-by-step explanation:

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3 years ago

In a large statistics course, 74% of the students passed the first exam, 72% of the students pass the second exam, and 58% of th

11111nata11111 [884]

Answer:

Required probability is 0.784 .

Step-by-step explanation:

We are given that in a large statistics course, 74% of the students passed the first exam, 72% of the students pass the second exam, and 58% of the students passed both exams.

Let Probability that the students passed the first exam = P(F) = 0.74

Probability that the students passed the second exam = P(S) = 0.72

Probability that the students passed both exams = $P(F \bigcap S)$ = 0.58