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3 years ago

How do I solve this using long division?

Mathematics

1 answer:

dolphi86 [110]3 years ago

3 0

Answer:

${2x}^{2} + 3x + 5$

Step-by-step explanation:

<h2>hope this helps</h2>

.........

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What is the answer to this question <br> 1/2 x -7=1/3(x-12)

timama [110]

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1

Combine multiplied terms into a single fraction

Multiply by 1

Add to both sides of the equation

6 0

2 years ago

Read 2 more answers

What is the antiderivative of 3x/((x-1)^2)

Maslowich

Answer:

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Step-by-step explanation:

Given

$\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx$

$=3\cdot \int \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Apply\:u-substitution:}\:u=x-1$

$=3\cdot \int \frac{u+1}{u^2}du$

$\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}$

$=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx$

$=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)$

$\int \frac{1}{u}du=\ln \left|u\right|$ ∵ $\mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)$

$\int \frac{1}{u^2}du=-\frac{1}{u}$ ∵ $\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1$

$=3\left(\ln \left|u\right|-\frac{1}{u}\right)$

$\mathrm{Substitute\:back}\:u=x-1$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)$

$\mathrm{Add\:a\:constant\:to\:the\:solution}$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Therefore,

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

4 0

3 years ago

Round to the nearest thousand 16,051<br>

djverab [1.8K]

Answer:

16,000

Step-by-step explanation:

to round to the nearest thousand you must look at the thousands place and then look to the number next to it

if the number is 0 1 2 3 or 4 the thousands place stays the same

if the number is 5 6 7 8 or 9 the thousands place goes up one

in this case it is 0

so it stays the same

16,000 is your answer

5 0

2 years ago

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The junior class is selling caramel apple lollipops and gourmet lollipops to raise money for prom. They profit 50 cents and 75 c

Sliva [168]

I cant see the graph but look for the graph that has 250 as the x and y intercept

3 0

3 years ago

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Select the repeating decimal number that is equivalent to 1/7 .

sleet_krkn [62]

Is there more to this question

6 0

3 years ago

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