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3 years ago

1. x + y = -8 convert the following from standard form to slope-intercept form

Mathematics

1 answer:

Monica [59]3 years ago

8 0

Answer:

y = -x - 8

Step-by-step explanation:

Slope intercept form is y = mx + b, so subtract x from both sides to convert the equation to slope-intercept form.

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Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

3 years ago

A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as

abruzzese [7]

Answer:

Step-by-step explanation:

5GP= BP

2BNP= GNP

BP+BNP=333

GP+GNP=225

BNP= 333-BP

BNP= 333-5GP

GP= 225-GNP

GP= 225-2BNP

BNP=333-5(225-2BNP)

BNP=333-1125+10BNP

-9BNP=-792

BNP=88

Hope it helps :)

Mark Brainliest if possible.

7 0

4 years ago

Read 2 more answers

A baseball hat for $22.90 at 5% sales tax

Alexus [3.1K]

22.90*1.05=24.045
sales tax is 5% added to 100% of the original cost making the actaul cost including tax $24.045

8 0

3 years ago

Read 2 more answers

WHOEVER ANSWERS 1ST AND HAS CORRECT ANSWER WILL GET MARKED AS BRAINILIEST

Dovator [93]

It is C. Associative property of multiplication

3 0

3 years ago

Please help answer this :)

jolli1 [7]

Answer:

Step-by-step explanation:

yeah

8 0

3 years ago