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2 years ago

Can somebody do this for me

Mathematics

1 answer:

pochemuha2 years ago

8 0

Answer:

Step-by-step explanation:

1. because 2. i 3. said 4. so

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(5x^3-8x^2+9x+12)/(x-3)<br><br> please answer with sentences on how to do it step by step. thanks!

Anastaziya [24]

Answer:

$5x^2+7x+30+\frac{102}{x-3}$

Step-by-step explanation:

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}5x^3-8x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{5x^3}{x}=5x^2\\\mathrm{Quotient}=5x^2\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}5x^2:\:5x^3-15x^2\\\mathrm{Subtract\:}5x^3-15x^2\mathrm{\:from\:}5x^3-8x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=7x^2+9x+12\\\mathrm{Therefore}\\=5x^2+\frac{7x^2+9x+12}{x-3}$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}7x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{7x^2}{x}=7x\\\mathrm{Quotient}=7x\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}7x:\:7x^2-21x\\\mathrm{Subtract\:}7x^2-21x\mathrm{\:from\:}7x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=30x+12\\\mathrm{Therefore}\\=5x^2+7x+\frac{30x+12}{x-3}\\$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}30x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{30x}{x}=30\\\mathrm{Quotient}=30\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}30:\:30x-90\\\mathrm{Subtract\:}30x-90\mathrm{\:from\:}30x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=102\\\mathrm{Therefore}\\=5x^2+7x+30+\frac{102}{x-3}$

6 0

2 years ago

Read 2 more answers

What's the answer? Can't figure it out

soldier1979 [14.2K]

9x⁹ - 90x⁸ - 351x⁷

What do each of these numbers have in common?

They ALL have 9x⁷ in them!

So, divide each one of these by 9x⁷

9x⁹ ÷ 9x⁷ = 9x²

-90x⁸ ÷ 9x⁷ = -9x

-351x⁷ ÷ 9x⁷ = -39

So, factorized completely, it is :

9x² - 9x - 39

~Hope I helped!~

4 0

3 years ago

Yuvia also earns a base salary of $45 per day. What is the total amount she earned that day? [Total Salary = Base Pay + Commissi

andriy [413]

The answer you need is $245

5 0

3 years ago

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Twice a number increased by 3 is 45. What is the number?

Arada [10]

135 because 45x3=135 at least I'm sure this is what you mean

7 0

2 years ago

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A store sells three different packs of the same yogurt. Which pack is the best buy? Explain.

shtirl [24]

Answer:

$5.32

Step-by-step explanation:

I think its $5.32 because there is at least 6 yogurts in the pack, and its not to expensive as the first one. Plus it has 2 more yogurts then the third one.

(i am so sorry if this dosent make sense)

3 0

2 years ago