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2 years ago

What us 2/3 divided by 6?

Mathematics

1 answer:

iren [92.7K]2 years ago

4 0

Answer:

0.111111111 or 1/9

Step-by-step explanation:

2/3 divided by 6

keep change flip = KCF

Keep the 2/3

Flip the sign into the opposite

Change the 6 to it's reciprocal

2/3 times 1/6

multiply both the numerator, and denominator

2*1= 2 ( numerator)

3*6= 18 ( denominator)

2/18 simplify that and you get..........

1/9 as your answer

Hope this helped!

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Find dy/dx for 4 - xy = y^3

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:

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

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3 years ago

If g(x) = 3x + 8, evaluate g(2)

Mkey [24]

Answer:

g(2) = 14

Step-by-step explanation:

g(x) = 3x + 8

g(2) = 3(2) + 8

g(2) = 14

g(2)=14 Hope this helps

7 0

3 years ago

Mr cho drives 45 miles in 1 hours.if her speed stays constants, how many hours will it take for her to drive 405 miles

-Dominant- [34]

With constant speed it will take her : 405 ml / 45= 9 hours of drive

6 0

3 years ago

Graph the line with slope -1/2 passing through the point (5,4)

slava [35]

Answer:

put a down a point at (5,4) and go down 1 right 2, then plot another point.

You also can go from (5,4) up 1, left 2 and plot a point.

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2 years ago

Solve x/3 = x+2/2. X=

Leni [432]

Answer:

I will assume that the term "x+2/2" is meant to be "(x + 2)/2)." Otherwise the equation would read (x/3) = x + 1

Step-by-step explanation:

(x/3) = (x + 2)/2

x = 3*(x+2)/2 [Multiply both sides by 3]

x = (3x + 6)/2

x = (3/2)x + 6/2

x - (3/2)x = 3

-0.5x = 3

x = -6

====================

Check:

Does (x/3) = (x + 2)/2 for x = -6?

(-6/3) = (-6 + 2)/2

-2 = -4/2

-2 = -2 YES

6 0

2 years ago