If a set has three elements, how many subsets does it have? give an example of a set of three elements and list all its subsets.

A subset is a set contained in another set

It is like you can choose ice cream from the following flavors:

{banana, chocolate, vanilla}

You could choose any one flavor {banana}, {chocolate}, or {vanilla},

Or any two flavors: {banana, chocolate}, {banana, vanilla}, or {chocolate, vanilla},

Or all three flavors (no that isn't greedy),

Or you could say "none at all thanks", which is the "empty set": {}

A Set With Three Elements:

How about:

{apple, banana, cherry}

OK, let's be more systematic now, and list the subsets by how many elements they have:

Subsets with one element: {apple}, {banana}, {cherry}

Subsets with two elements: {apple, banana}, {apple, cherry}, {banana, cherry}

And:

   the whole set: {apple, banana, cherry}

   the empty set: {}

In fact we could put it in a table:

(hope i helped)

14

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204