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2 years ago

Which product of prime polynomials is equivalent to 3x4 – 81x?

Mathematics

2 answers:

adelina 88 [10]2 years ago

5 0

Given:

The expression is

$3x^4-81x$

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

$3x^4-81x$

Taking out the common factors, we get

$=3x(x^3-27)$

It can be written as

$=3x(x^3-3^3)$

$=3x(x-3)(x^2+3x+3^2)$ $[\because a^3-b^3=(a-b)(a^2+ab+b^2)]$

$=3x(x-3)(x^2+3x+3^2)$

$=3x(x-3)(x^2+3x+9)$

Therefore, the correct option is B.

Alekssandra [29.7K]2 years ago

3 0

Answer:

It's B

Step-by-step explanation:

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3 years ago

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3 years ago

Which figure has the same area as the parallelogram shown below? A. A triangle with a base of 4 mm and a height of 20 mm B. A tr

Arisa [49]

<h2>Answer: A trapezoid with bases of 6 mm and 14 mm and a height of 8 mm </h2>

The parallelogram in the figure has an area of $80mm^{2}$ , according to the following formula, which works for all rectangles and parallelograms:

$A_{parallelogram}=(b)(h)$ (1)

Where $b$ is the base and $h$ is the height

The<u> area of a triangle</u> is given by the following formula:

$A_{triangle}=\frac{1}{2}(b)(h)$ (2)

So, for option A:

$A_{triangle}=\frac{1}{2}(4mm)(20mm)=40mm^{2} \neq 80mm^{2}$

Now, the <u>area of a trapezoid </u>is:

$A_{trapezoid}=\frac{1}{2}(b_{1}+ b_{2})(h)$ (3)

For option B:

$A_{trapezoid}=\frac{1}{2}(15mm+25mm)(2 mm)=40mm^{2} \neq 80mm^{2}$

For option C:

$A_{trapezoid}=\frac{1}{2}(6mm+14mm)(8 mm)=80mm^{2}$ >>>>This is the correct option!

For option D:

$A_{rectangle}=(30mm)(8mm)=240mm^{2} \neq 80mm^{2}$

<h2>Therefore the correct option is C</h2>

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3 years ago

if a store uses a selling price based markup of 40% and an item cost the store $300 what selling price would the store set for t

kirza4 [7]

Answer:

The selling price would be $420.

Step-by-step explanation:

In order to find the mark up, we need to multiply the amount it originally costs by the percentage it is being marked up.

$300 * 40% = $120

Now that we have the mark up amount, we add it to the original cost to get the sale price.

$300 + $120 = $420

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2 years ago