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Elis [28]
3 years ago
5

Which product of prime polynomials is equivalent to 8x3 – 2x?

Mathematics
2 answers:
Alexxx [7]3 years ago
7 0
2x2(2x+1)(2x-1) this is the answer I got.
d1i1m1o1n [39]3 years ago
5 0

Answer:

The factor form of the given polynomial is 2x(2x-1)(2x+1)

Step-by-step explanation:

The given expression is

8x^3-2x

Taking out the common factor 2x.

8x^3-2x=2x(4x^2-1)

8x^3-2x=2x((2x)^2-(1)^2)

Using the algebraic formula:

a^2-b^2=(a-b)(a+b)

We get,

8x^3-2x=2x(2x-1)(2x+1)

All the factors are prime polynomial because they can not be factored further.

Therefore the factor form of the given polynomial is 2x(2x-1)(2x+1).

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URGENT PLEASE HELP ME, ITS DUE IN A HOUR ​
Olegator [25]

Answer:

Area of gray region = 8x^2+8x-7

Step-by-step explanation:

The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.

<em>Total</em> area of the room: 13x^2+7x-2

Area taken up by furniture: 5x^2-x+5

Area of gray region = total area of the room - area taken up by furniture

Area of gray region = 13x^2+7x-2-(5x^2-x+5)

Remember to distribute the negative sign:

Area of gray region = 13x^2+7x-2-5x^2+x-5

Combine like terms:

Area of gray region = 8x^2+8x-7

7 0
2 years ago
Read 2 more answers
In supply (and demand) problems, y is the number of items the supplier will produce (or the public will buy) if the price of the
SSSSS [86.1K]

Answer:

A) (17 ; 550)

B) $17/item

C) 550

Step-by-step explanation:

First we must calculate the intersection point of the two lines. Since in that point <em>y</em> has the same value in both equations, we can obtain <em>x </em>by equalling the two equations and then using that value for obtaining <em>y</em>:

5x+465=-6x+652\\5x+6x=652-465\\11x=187\\x=\frac{187}{11}\\x=17

So the value of <em>x</em> in the intersection point is 17. We now use this value with either one of the equations to obtain <em>y</em><em>. </em>Let's use the supply equation:

y=5*17+465\\y=550

So the intersection point is (17 ; 550)

Supply and demand are in equilibrium when the amount of items on supply are the same as the ones on demand. That is the point were the two lines intersect, which means the selling price is the <em>x</em> coordinate and the amount of items is the <em>y</em> coordinate, so that is a selling price of <em>$17/item</em> with a number of items of <em>550</em>.

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2 years ago
What is the solution of the equation (4x + 3)^2 = 18?
iren [92.7K]

Answer:

x=6

Step-by-step explanation:

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lyudmila [28]

Answer: 29 cookies

Step-by-step explanation:

Judging that a "batch" is a dozen which is 12 then...

12 + 12 + 5 = 29

Hope this helps!!! Good luck!!! ;)

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2 years ago
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Answer:

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Step-by-step explanation:

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