<img src="https://tex.z-dn.net/?f=2%20%5Csqrt%7B3%7D%20" id="TexFormula1" title="2 \sqrt{3} " alt="2 \sqrt{3} " align="absmiddle

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stealth61 [152]

3 years ago

" class="latex-formula">

Mathematics

2 answers:

kodGreya [7K]3 years ago

6 0

The answer is 3.46 (rounded)

maw [93]3 years ago

3 0

Simplified it is radical 1 and inside the radical sign is 3

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Consider the following division of polynomials.

Bond [772]

$x^4=x^2\cdot x^2$ . Multiplying the denominator by $x^2$ gives

$x^2(x^2+2x+8)=x^4+2x^3+8x^2$

Subtracting this from the numerator gives a remainder of

$(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8$

$-x^3=-x\cdot x^2$ . Multiplying the denominator by $-x$ gives

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

and subtracting this from the previous remainder gives a new remainder of

$(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8$

This last remainder is exactly the same as the denominator, so $x^2+2x+8$ divides through it exactly and leaves us with 1.

What we showed here is that

$\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}$

$=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}$

$=x^2-x+1$

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

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

$=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)$

$=x^4+x^3+7x^2-6x+8$

which matches the original numerator.

3 0

3 years ago

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Sidaanth kept a chart of his savings .which point represents this relationship?

photoshop1234 [79]

Answer:

Point A represents savings of week 4 and Point B represents savings of week 2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Type the correct answer in each box.

nataly862011 [7]

Answer:

i dont knwo

Step-by-step explanation:

5 0

3 years ago

There is a pair of x and y values that make each equation true in this system of equations

MAXImum [283]

Given Equations

5x+3y=8--(1)
4x+7y=34--(2)

Let it has solution (x,y)

Add both

$\\ \sf\longmapsto 5x+4x+3y+7y=8+34$

$\\ \sf\longmapsto 9x+10y=42$

It will also have same solution (x,y)

5 0

3 years ago

Suppose Nancy has 15 sorts of colors black, red, and of wschure black and were

Mandarinka [93]

Answer:

Hi there here is the answer!

Step-by-step explanation:

Out of the 3 main chioces there is a total of 15!

so, it would be a probability of <em>5/15. or 1/3 / 1:3</em>

4 0

3 years ago