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2 years ago

Which relation is a function?

Mathematics

1 answer:

kirill115 [55]2 years ago

7 0

Answer:

Step-by-step explanation:

The graph certainly is, if you ignore the fact that you don't know what the equation for the graph is.

Each x has only 1 y associated with it. That's the definition of a function. This one presumably follows that definition, but I caughten you, without the equation, you can't be sure.

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Simplify the following if x = 3 & y = 4:

dusya [7]

The top one is correct …..correct is correct

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3 years ago

Read 2 more answers

A right cylinder is inscribed in a sphere of radius r. How do you find the largest possible volume of such a cylinder?

satela [25.4K]

Answer:

Step-by-step explanation:

Suppose Radius of sphere is R and cylinder inscribed inside the sphere is r with height h

using Pythagoras theorem in shown triangle

$R^2=r^2+(\frac{h}{2})^2$

$r^2=R^2-(\frac{h}{2})^2$

Volume of cylinder is

$V=\pi \times r^2\times h$

$V=\pi \times (R^2-(\frac{h}{2})^2)\times h$

$V=\pi (R^2\cdot h-\frac{h^3}{4})$

differentiate V w.r.t to h we get

$\frac{\mathrm{d} V}{\mathrm{d} h}=\pi (R^2-\frac{3h^2}{4})$

Putting $\frac{\mathrm{d} V}{\mathrm{d} h}$ to get maxima/minima

$R^2=\frac{3h^2}{4}$

$h=\frac{2R}{\sqrt{3}}$

therefore radius r is given by

$r=\sqrt{\frac{2R}{3}}$

therefore volume is given by

$V=\frac{4}{3\sqrt{3}}\pi R^3$

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3 years ago

Solve 3(y+2)+3x squared <br> X=5, y=8

Savatey [412]

I'm sorry my friend but I need as much help as you do I'm just answering this so I can get some help sorry

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3 years ago

mr. Smith has twice as much money as mr. hairy the average amount of money they have is $489 how much money does mr. Smith have

Darya [45]

Ok, so this one requires you to set up an equation that makes sense....(mr. Smith + mr. Harry)/2= 489...that is the average money from the problem....ok so let’s add some variables now and make it look like math. 2x is mr smith from the first sentence. X is mr. Harry. This yields

(2x+x)/2=489.....use inverse operations to yield
2x+x=978

Combine like terms to get

3x=978

Then divide by 3
To give you x=326

What does x tell you?
X= harry = 326
2x = Smith = 652

To check add them together and divide by 2 to get the average....489