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3 years ago

10

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

2 answers:

BaLLatris [955]3 years ago

5 0

A system of linear equations can have no solution if the lines are parallel to each other. Looking at the given equation, it has a slope of 8. Any different equation having the same slope will belong to the system of equation without solution. So, the family of equations is:
y = 8x + k
where k is any real number but not equal to 7

Vanyuwa [196]3 years ago

3 0

Answer:

b

Step-by-step explanation:

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lesantik [10]

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the answer is 3

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3 years ago

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

A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 66 types of drinks to choose f

Ludmilka [50]

36 different value meal packages are possible

Step-by-step explanation:

To answer this question, multiply all given numbers together.

4*3*3

12*3

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4 0

3 years ago

The Sahara Desert has an area of approximately 9,400,400 km2. While estimates of its average depth vary, they center around 150

horrorfan [7]

It would take 65433661 years to re-create the Sahara Desert

<h3>How many years would it take to re-create the Sahara Desert?</h3>

The given parameters are:

Surface area = 9,400,400 km^2

Depth = 150 m

This means that the volume is

Volume = Surface area * Depth

So, we have

Volume = 9,400,400 km^2 * 150 m

Express as meter square

Volume = 9,400,400 * 1000000 m^2 * 150 m

Evaluate the product

Volume = 9,400,400 * 150,000,000 m^3

A small dump holds 20.5 m^3 for 30 seconds.

So, the duration is:

Time = (9,400,400 * 150,000,000 m^3)/(20.5 m^3 per 30 seconds)

Evaluate the product and quotient

Time = 2.0635024e+15 seconds

1 second = 3.171e-8 year.

So, we have:

Time = 2.0635024e+15 * 3.171e-8 year

Evaluate the product

Time = 65433661.104 years

Approximate

Time = 65433661 years

Hence, it would take 65433661 years to re-create the Sahara Desert

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Answer:

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3 years ago

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