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2 years ago

Which expression is a prime polynomial?

Mathematics

1 answer:

irakobra [83]2 years ago

4 0

The expression that is a prime polynomial is:

B. $x^3 - 27y^2$ .

<h3>What is a prime polynomial?</h3>

A prime polynomial is a polynomial that cannot be factored.

In this problem, item b gives a prime polynomial, as:

In item a, 3 is a common factor, hence the polynomial can be factored.

In item c, x is a common factor, hence the polynomial can be factored.

In item d, the polynomial can be factored according to it's roots.

More can be learned about prime polynomials at brainly.com/question/26388060

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Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4

djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

$\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty$

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

$\lim_{x \to \infty}\frac{x^3}{(x-2)^4}$

if $\lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b$ then y = b is horizontal asymptote

Then:

$\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0$

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0

3 years ago

Read 2 more answers

Last option is none of the above

BigorU [14]

Answer:

A and B

Step-by-step explanation:

When rotating a point (or any shape around a certain point), none of the diameters of the shape will change. So for example, with this circle, when you rotate it around a point, the radius and circumference will not change because it has just rotated. It wont be on the x-axis though because point P is not on the x-axis an it is being rotated 180 degrees about point P. Just know that when you are rotating, nothing about the shape changes, all angles or measurements will be the same, it is just moving to a different place.

Hope this helped ^-^

7 0

3 years ago

The expression 2x + 50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing. What

vova2212 [387]

We let y equal to the elevation above sea level so that the elevation of the rock climber after x minutes of climbing would be:

y = 2x + 50

His initial height can be calculated when x is equal to zero it is when the climber is not yet climbing. Therefore, the rock climber'sinitial height above sea level would be 50 meters.

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3 years ago

Antonio has read 147 pages of a book.He has completed 70% of the book. How many more pages does he need to read to finish the bo

aleksklad [387]

210-147 so he has 63 more pages to read I just kept putting numbers in and multiplying by .7 till I got 147 from 210

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4 years ago

A 4-kilogram bag of birdseed costs $12.69. What is the unit price, rounded to the

igomit [66]

Answer:

$3.17

Step-by-step explanation:

Take the $12.69 and divide it by the 4 kilograms and you get 3.17. (This is rounded)

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3 years ago