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3 years ago

Graph x + 3y = 6.please help

Mathematics

2 answers:

Alexandra [31]3 years ago

8 0

Answer:

see attached

Step-by-step explanation:

Both coefficients are divisors of the constant, so the intercepts are integer values. This makes it easy to graph the line using the x- and y-intercepts.

x-intercept

Set y=0 and you get ...

x = 6

y-intercept

Set x=0 and you have ...

3y = 6

y = 2 . . . . divide by 3

The intercepts (6, 0) and (0, 2) are points on the line. Plot these points and draw the line through them.

Rzqust [24]3 years ago

3 0

this is the photo of a answer

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If you know the answer to this, please say it! Equation and all too! Thank you :DD

vlabodo [156]

Answer

x=33

Step-by-step explanation:

since they're both on the same line we must equal them to 180.

18 + x + 4x -3 = 180 (Now you simplify terms)

5x + 15 = 180 (Subtract the 15 from both sides)

5x = 165 (divide by 5 to isolate the variable)

x = 33 (Hope I was able to help :) )

6 0

3 years ago

Determine the values of the constants r and s such that i(x, y) = x rys is an integrating factor for the given differential equa

garri49 [273]

$\underbrace{y(7xy^2+6)}_{M(x,y)}\,\mathrm dx+\underbrace{x(xy^2-1)}_{N(x,y)}\,\mathrm dy=0$

For the ODE to be exact, we require that $M_y=N_x$ , which we'll verify is not the case here.

$M_y=21xy^2+6$
$N_x=2xy^2-1$

So we distribute an integrating factor $i(x,y)$ across both sides of the ODE to get

$iM\,\mathrm dx+iN\,\mathrm dy=0$

Now for the ODE to be exact, we require $(iM)_y=(iN)_x$ , which in turn means

$i_yM+iM_y=i_xN+iN_x\implies i(M_y-N_x)=i_xN-i_yM$

Suppose $i(x,y)=x^ry^s$ . Then substituting everything into the PDE above, we have

$x^ry^s(19xy^2+7)=rx^{r-1}y^s(x^2y^2-x)-sx^ry^{s-1}(7xy^3+6y)$
$19x^{r+1}y^{s+2}+7x^ry^s=rx^{r+1}y^{s+2}-rx^ry^s-7sx^{r+1}y^{s+2}-6sx^ry^s$
$19x^{r+1}y^{s+2}+7x^ry^s=(r-7s)x^{r+1}y^{s+2}-(r+6s)x^ry^s$
$\implies\begin{cases}r-7s=19\\r+6s=-7\end{cases}\implies r=5,s=-2$

so that our integrating factor is $i(x,y)=x^5y^{-2}$ . Our ODE is now

$(7x^6y+6x^5y^{-1})\,\mathrm dx+(x^7-x^6y^{-2})\,\mathrm dy=0$

Renaming $M(x,y)$ and $N(x,y)$ to our current coefficients, we end up with partial derivatives

$M_y=7x^6-6x^5y^{-2}$
$N_x=7x^6-6x^5y^{-2}$

as desired, so our new ODE is indeed exact.

Next, we're looking for a solution of the form $\Psi(x,y)=C$ . By the chain rule, we have

$\Psi_x=7x^6y+6x^5y^{-1}\implies\Psi=x^7y+x^6y^{-1}+f(y)$

Differentiating with respect to $y$ yields

$\Psi_y=x^7-x^6y^{-2}=x^7-x^6y^{-2}+\dfrac{\mathrm df}{\mathrm dy}$
$\implies\dfrac{\mathrm df}{\mathrm dy}=0\implies f(y)=C$

Thus the solution to the ODE is

$\Psi(x,y)=x^7y+x^6y^{-1}=C$

4 0

3 years ago

Type integer or fraction as answer simplify answer

vova2212 [387]

Answer:

51/28

Step-by-step explanation:

Start by making common denominators.

7 2

4 4

Now subtract the two.

7 - 2 = 5

Now you have to make common denominators for the second part, 4/7

16 + 35 = 51

28 28 28

brainliest is nice ig

7 0

4 years ago

plz help. The amount of pages in a 3rd graders book can be modeled by f(x) = x^2 + 6x where x represents the number of chapters.

posledela

Answer:

we can just plug values in and get x = 9

hope this helps and brainliest please

6 0

3 years ago

Quis Hallo my name ia rafli, from Indonesian

Ilia_Sergeevich [38]

Answer:

Are u bored??

Step-by-step explanation:

Its not allowed to post ur personal stuff

6 0

3 years ago

Read 2 more answers

Graph x + 3y = 6.please help​

Graph x + 3y = 6.please help