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2 years ago

14

John finds that the sum of two numbers is 24 and their difference is one sixth of the sum. Find the smallest number between the

two numbers

1 answer:

poizon [28]2 years ago

4 0

Answer:

The smallest number is 10

Step-by-step explanation:

x+y=24---equation 1

x-y=¹/6×24=>x-y=4---equation 2

Add both equations

2x=28

x=14

put x=14 into equation 1

14+y=24

y=24-14=10

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Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> x2 - 3 ln y + y2 = 10

Veseljchak [2.6K]

Answer:

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

Step-by-step explanation:

We are given that

$x^2-3lny+y^2=0$

Differentiate w.r.t x

$2x-\frac{3}{y}\frac{dy}{dx}+2y\frac{dy}{dx}=0$

By using formula

$\frac{dx^n}{dx}=nx^{n-1}$

$\frac{d(lnx)}{dx}=\frac{1}{x}$

$\frac{dy^n}{dx}=ny^{n-1}\frac{dy}{dx}$

$\frac{dy}{dx}(-\frac{3}{y}+2y)+2x=0$

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

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

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

Hence, the derivative of function

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

8 0

3 years ago

What is 2826 rounded to the nearest hunderd

Savatey [412]

Answer:

800

Step-by-step explanation:

2826 around to the nearest hunderd is 800

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3 years ago

Suri solved the equation x squared = 49 and found that x=7. What error did Suri make?

Anastaziya [24]

Answer:

x = $\frac{+}{-}$ 7

Step-by-step explanation:

$x^{2}$ = 49

$\sqrt{49}$ can equal 7 or -7

7 x 7 = 49. -7 x -7 = 49

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solmaris [256]

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