I just told you that these equations can intersect the x axis in two places, but this only has one solution.

The gas is running out.

It's a country of 45 million people. It's an economy that's emerging.

Well for every three strawberries, I have two oranges and I have one apple.

One, two, three, four, five, six, seven, eight.

We've now excluded all of the negative numbers.

A lot of the most interesting talks almost have the structure of the detective story.

Business won't prosper without one!

Well, if they say no to this first question, and you know they're going to lie on the second one, your second question should just be, who is not the truth teller?

Now this is probably a good thing, right?

I'm going to have to assign to the value (x) and the value (z) before I get here.

There is always a unique answer and you can only use each of the things on the right side once.

Hurry up! The concert is starting.

Well there's a couple of ways of think about it.

There's three different condition values for D.

It's not possible.

It's a minus.

Well, in our example, k was the number of spots, and there were 3 spots.

So this is d1, and this is d2, so you have a situation and we could take the absolute value of the difference, because they might be, they might at some points d1 will be longer than d2 if you're on this curve.

And you're going to divide by one, two, three, four, five numbers.

We can just swap these two colors and everything is fine. So what did we just show?

All right, so what that means is if this one is blue, the thing is colorable. Definitely.

These two new airplanes are the same speed as the DC8 that was done in 1958.

And then we're dividing by dx, so that becomes dy dx, is equal to what's 0 divided by dx?

And so the word span, I think it does have an intuitive sense.

There's also constants, things like number one, and the number two.

So there's that fundamental mismatch.

Have you got change for a dollar?

Do you have change for a dollar?

We have baaa, baaaaa.

This guy, he's going to pull up right here.

Now if this is what you want to do, you pretty quickly realize you're going to run into two pretty big hurdles, two big obstacles.

The first forward slash we can find at the position between the month and the day.

(Laughter)

That goes nicely into 5, 6, 7, and it's 12.

So you have counting 1, 2, 3 of the possible outcomes are associated with this event.

I keep it with me to remind me of the ties that tie me to the young women I wrote about, ties that are not economic but personal in nature, measured not in money but in memories.

But I have to multiply times 3 with 1,2,3,4 zeros to get this number 8.73 million

All right so why is that so it turns out that this little plastic ring thing, you can think of it as a graph where each of the little plastic connectors is actually an edge between nodes and the place that they intersect is a node.

So in life and in papercutting, everything is connected.

One of them is what Jacques Cousteau called rapture of the deep.

Since all of these are equal to 1, adding them is the same as saying 10 1, which just equals 10.

But it's going to be to the left.

If I were to draw it in standard position, it looks like this.

The area of this is going to be 6 times 6.