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3 years ago

Is this function in Slope-Intercept Form, Point Slope Form, or Standard Form?

Mathematics

2 answers:

Alexandra [31]3 years ago

6 0

It’s gonna be standard form

masya89 [10]3 years ago

4 0

Answer:

this is point slope form

Step-by-step explanation:

point slope form is y-y1=m(x-x1)

slope intercept is y=mx+b

standard form is Ax+By=c

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(10x-5) +(9x + 6)<br> simplify the answer ASAP

san4es73 [151]

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3 years ago

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If b(x) = -2(x-50), what is the value of b(20)?

Alex777 [14]

Answer:

Step-by-step explanation:

-2(20-50)

-40 + 100 = 60

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3 years ago

Which geographic feature was common to the development of civilizations in ancient Egypt, China, India, and Mesopotamia?

storchak [24]

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4 years ago

This is a question on my partial fractions homework, but no matter what I try I can't figure it out..

Ierofanga [76]

$\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{a_1x+a_0}{(x+1)^2}+\dfrac b{x+2}$
$\implies\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{(a_1x+a_0)(x+2)+b(x+1)^2}{(x+1)^2(x+2)}$
$\implies x^2+x+1=(a_1+b)x^2+(2a_1+a_0+2b)x+(2a_0+b)$
$\implies\begin{cases}a_1+b=1\\2a_1+a_0+2b=1\\2a_0+b=1\end{cases}\implies a_1=-2,a_0=-1,b=3$

So you have

$\displaystyle\int_0^2\frac{x^2+x+1}{(x+1)^2(x+2)}\,\mathrm dx=-2\int_0^2\frac x{(x+1)^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$
$=\displaystyle-2\int_1^3\dfrac{x-1}{x^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$

where in the first integral we substitute $x\mapsto x+1$ .

$=\displaystyle-2\int_1^3\left(\frac1x-\frac1{x^2}\right)\,\mathrm dx-\frac1{1+x}\bigg|_{x=0}^{x=2}+3\ln|x+2|\bigg|_{x=0}^{x=2}$
$=-2\left(\ln|x|+\dfrac1x\right)\bigg|_{x=1}^{x=3}-\dfrac23+3(\ln4-\ln2)$
$=-2\left(\ln3+\dfrac13-1\right)-\dfrac23+3\ln2$
$=\dfrac23+\ln\dfrac89$

4 0

3 years ago

MATH1314-1043,1044 16wks SPR21

Brilliant_brown [7]

Step-by-step explanation:

how where is the graph cause I don't understand that

6 0

3 years ago