But let's say that it has 4 shares, and all of the shares are owned by Pete, initially

Simplify

So a new customer will pay this minus 3.

So let's get rid of this loop and instead change it to something like this.

Code simplification, UI suggestions.

So it goes into 144 18 times.

They need her to sign a treaty to make this invasion legal. They can't afford to kill her.

Until you were able to take care of these obligations, you probably would have been better off, paying by a term life policy and paying this lower premium

And what is this equal to?

line has simplified to 6 times my change in x, plus my change in x squared, all of that over my change in x.

Can we do that? For automatic simplification, we need two ingredients.

And then 22 divided by negative 22 oh, sorry, 22 divided by negative 2 is negative 11.

That's his x value.

So I will do that.

So either way you do it, it'll work.

Very, very obsessive.

20 minus 14 is 6.

That hash sign is the abbreviation for number of training examples.

And we'll leave it alone like that right now.

What will happen is is that state's delegates on the democratic side

Nothing fancy there.

Well, A is minus 8, so all of that is over minus 16.

Lets see if this works.

So it's equal to 49 36.

So it's going to be one hundred and fifty one

So those negatives cancel out, and we're left with plus 15 7.

Over 0 plus 5. which is just going to be 0. So this is just goes to 0.

So just that easily, because this term went to 0, we've simplified things.

Is doing the poster this way trendy in itself?

And we're done!

Master... we need a new plan.

And this is my new h(x) or my new h_theta(x). All right?

Then in the denominator, we have 2ab times 18xy squared.

Well, that's just twoy squared.

So they gave us this.

And in order for these to be identical expressions, or maybe identical function definitions, they need to have the exact same domain.

Let's figure out what eleven and twelve sixteenths minus five in eight sixteenths is.

So there is no common factor across all four of these terms.

So it's 3 times 6 plus 4 times 8.

And a movement of men and women is what's needed to bring about social change, change that will address this great moral challenge.

And now we got that as being equal to this thing, and we made a substitution.

So this whole expression simplifies to negative 1 diamond this diamond right over here diamond 0.

Now, the principal square root of negative 1, if we're talking about the principal branch of the complex square root function, is i.

Because if we just simplify this expression, and we include things in the simplified domain that weren't included in the original function's domain, we've actually changed the expression.

Well that won't quite be right. So to answer this question, we'll need to solve this formula for n.