Ask question

Ask question

All categories

GarryVolchara [31]

3 years ago

7

Rewrite 6x-3y=9 in slope intercept form.

2 answers:

anzhelika [568]3 years ago

8 0

1) Subtract 6x from both sides. -3y= -9-6x
<span>2) Divide both sides by -3. y= 3+2x </span>
<span>2) Put it in slope-intercept form: y=mx+b. y= 2x+3 </span>

<span>Final answer: y=2x+3</span>

Volgvan3 years ago

3 0

Y = mx + b ---- 6x - 3y = 9 ------ - 3y = 9 - 6x ------ -3y/-3 = 9 - 6x /-3 ----------------------y = 2x - 3.

You might be interested in

A Bernoulli differential equation is one of the form dxdy+P(x)y=Q(x)yn Observe that, if n=0 or 1, the Bernoulli equation is line

aleksandr82 [10.1K]

It's unclear whether the ODE is

$xy'+y=4xy^2$

or

$xy+y'=4xy^2$

If the first case, then divide through both sides by $y^2$ to get

$xy^{-2}y'+y^{-1}=4x$

then substitute $z=y^{-1}$ , so that $z'=-y^{-2}y'$ . Then

$-xz'+z=4x\implies-\dfrac1xz'+\dfrac1{x^2}z=\left(-\dfrac1xz\right)'=\dfrac4x$

$\implies-\dfrac1xz=\displaystyle\int\frac4x\,\mathrm dx$

$\implies z=-4x\ln|x|+Cx$

$\implies\boxed{y=\dfrac1{Cx-4x\ln|x|}}$

If the second, then dividing through by $y^2$ gives

$xy^{-1}+y^{-2}y'=4x$

The same substitution as before gives

$xz-z'=4x\implies e^{-x^2/2}z'-xe^{-x^2/2}z=\left(e^{-x^2/2}z\right)'=-4xe^{-x^2/2}$

$\implies e^{-x^2/2}z=\displaystyle-4\int xe^{-x^2/2}\,\mathrm dx$

$\implies z=4+Ce^{x^2/2}$

$\implies\boxed{y=\dfrac1{4+Ce^{x^2/2}}}$

5 0

3 years ago

You are playing a video game. For each diamonds you collect, you earn 50 points. You need to earn 2000 points or more to continu

Brrunno [24]

40 diamonds x 50 point (each diamond) = 2000 points

4 0

3 years ago

E varies directly with The square root of C. If E=40 When C=25 find: E when C = 49 ( Please help ASAP I need to hand this in tom

DiKsa [7]

Answer:

E = 56

Step-by-step explanation:

Given that E varies directly with $\sqrt{C}$ then the equation relating them is

E = k $\sqrt{C}$ ← k is the constant of variation

To find k use the condition E = 40 when C = 25

k = $\frac{E}{\sqrt{C} }$ = $\frac{40}{\sqrt{25} }$ = $\frac{40}{5}$ = 8, thus

E = 8 $\sqrt{C}$ ← equation of variation

When C = 49, then

E = 8 × $\sqrt{49}$ = 8 × 7 = 56

7 0

3 years ago

A university has ten dormitories for students. All of the dormitories have students of similar ages and offer the same convenien

lina2011 [118]

Answer:

a is correct

Step-by-step explanation:

4 0

3 years ago

Which list shows the numbers in order from least to greatest?<br><br> 1.38, 137 , 1.4

Advocard [28]

1.38 - 1.4 - 137 that is from least to greatest

8 0

3 years ago

Read 2 more answers