64/9 to a mixed number

storchak [24]

Answer:

$\frac{dy}{dx}=-\frac{y}{3y^2+x}$

Step-by-step explanation:

4-xy=y^3

dy/dx=?

$\frac{d(4-xy)}{dx}=\frac{d(y^3)}{dx}\\ \frac{d(4)}{dx}-\frac{d(xy)}{dx}=3y^{3-1}\frac{dy}{dx}\\ 0-(\frac{dx}{dx}y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(1y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -y-x\frac{dy}{dx}=3y^2\frac{dy}{dx}$

Solving for dy/dx: Addind x dy/dx both sides of the equation:

$-y-x\frac{dy}{dx}+x\frac{dy}{dx}=3y^2\frac{dy}{dx}+x\frac{dy}{dx} \\ -y=3y^2\frac{dy}{dx}+x\frac{dy}{dx}$

Common factor dy/dx on the right side of the equation:

$-y=(3y^2+x)\frac{dy}{dx}$

Dividing both sides of the equation by 3y^2+x:

$\frac{-y}{3y^2+x}=\frac{(3y^2+x)}{3y^2+x}\frac{dy}{dx}\\ -\frac{y}{3y^2+x}=\frac{dy}{dx}\\ \frac{dy}{dx}=-\frac{y}{3y^2+x}$

7 0

3 years ago

Help needed for this math question.

nekit [7.7K]

Is this algebra or geometry??

4 0

3 years ago

Blue Ocean Realty Co. pays weekly salaries of $33,300 for a six-day workweek (Monday through Saturday).

navik [9.2K]

That’s a lot of money. that’s literally $5,550 a day

5 0

2 years ago

Write each equation in slope-intercept form. underline the slope and circle the y-intercept in each equation 5x+3y=30

faust18 [17]

Answer:

The slope is

5

3

.

The y-intercept is

−

10

.

Explanation:

5

x

−

3

y

=

30

is the standard form for a linear equation. The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope, and

b

is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for

y

.

5

x

−

3

y

=

30

Subtract

5

x

from both sides of the equation.

−

3

y

=

30

−

5

x

Divide both sides by

−

3

.

y

=

30

−

3

−

5

x

−

3

=

y

=

−

10

+

5

3

x

Rearrange the right hand side.

y

=

5

3

x

−

10

m

=

5

3

,

b

=

−

10

graph{y=5/3x-10 [-10, 10, -5, 5]}

4 0

3 years ago

Read 2 more answers

Which of the following is a function equivalent to f(x) = 5(1.9)3x?

scoundrel [369]

The answer should be B.

5(6.86x)

7 0

3 years ago