3 years ago

What is the quotient (3x^2+8x-3)/ (x+3)

Mathematics

1 answer:

Dvinal [7]3 years ago

6 0

Answer:

The quotient ix 3x - 1.

Explanation:

Use Long division:

3x - 1 <------------quotient.

---------------------

x + 3) 3x^2 + 8x + 3

3x^2 + 9x

-------------

-x + 3

-x - 3

------

6 <---------remainder.

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Step-by-step explanation:

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3 years ago

Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z

Oliga [24]

Given the expression

$54m^3n\:+\:81m^4n^2$

Apply exponent rule: $a^{b+c}=a^ba^c$

$54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn$ ∵ $m^4n^2=m^3mnn$

Rewrite 81 as 3 · 27

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Factor out the common term: 27m³n

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Therefore,

$54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)$

Given the expression

$15x^2y^3z+25x^3y^2z+35x^2y^2z$

Apply exponent rule: $a^{b+c}=a^ba^c$

$15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z$

Rewrite as

$=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z$

Factor out common term 5y²x²z

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Therefore,

$15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)$

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3 years ago

Rose picked 18 tulips and 20 lilies.She divided the flowers into groups so that the same number of tulips and lilies were in eac

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Anwser: 18=9 groups and 20= 10 groups

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3 years ago

Read 2 more answers

A couch went on a 16% off sale. The sale price is given as $1008. What was the original price of the couch?

scoray [572]

Answer:

1200 dollars

Step-by-step explanation:

x-0.16x=1008

.84x=1008

x=1200 dollars

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2 years ago

An oil tank in the shape of a cylinder has a diameter of 40 feet and a height of 32 feet. Which expression can be used to find t

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The volume of a cylinder is pi*r^2*h

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Plugging in: pi*20^2*32=pi*400*32=12800pi=40212.38597

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Hope this helped!

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3 years ago