Let me write, this could be x and this would be 2x.

Well then I could say, let x be the price

So let x be equal to the number of tiles purchased.

let me, this is x.

Let me set the initial state to be x, y, and orientation.

So let x be the highest marked price that I can afford.

So let x equal the number.

Let me get rid of my little let x statement.

Let me to define vector x in this case to be 2, 3.

Let me define my new p of x, so let me add another term. p of x, the first terms are going to be the same.

Let me just not take an x.

Then let me draw my x axis.

For convenience of notation, let me define x subscript 0 to be equals one.

Actually let me draw x, x we could draw as 2, 3.

Let me, let me define a function as this f(x) is equal to x squared plus 1 if x is even and equals x squared minus 1 if x is odd.

So this would be let me switch to green we get x plus two, and since I'm using green, I'm just going to stay with green. x plus two, let me switch to orange. x plus two times x plus x plus two times three.

Let me graph y equals x. y equals x. y equals x is that line right there.

So let x equal what I start with.

Let me draw my x axis right here.

Let me write that. x plus x plus x plus x, which is equal to 4x, which is going to be equal to 36. They gave us that in the problem.

So let set this equal to a variable, let me call this x.

Let me call this x . If we call the measure of that angle x

Let me draw my x axis, just like that, that is my x axis.

Let me to define let me say f of x is equal to x squared when, if x does not equal 2, and let's say it equals 3 when x equals 2.

So let, an I'm just arbitrarily using x we like to use x, it could be anything... But let's say x is how old he is right now.

X times 2 can be rewritten as X X. strength reduction

X X X is going to be my key and X is my value.

(X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Cast off everything (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Let your heart burn

(X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Cast off everything (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Let your heart burn

Let me take the x out of that side.

So let me draw. x squared looks something like let me use a different color. x square looks something like this, right?

This would be x.

Well now, we're constraining x to be x would have to be x would have to be equal to 0.

Let me write this. x squared plus 4x over x plus 3 times x squared minus 9, all of that over x squared plus x minus 12.

And then let me draw..So everywhere except x 2, it's equal to x². So let me draw it like this, this is gonna be a parabola, it looks something like this...

Let her be!

Let it be!

Let it be.

Let him be.

Let me draw the graph of f(x). f(x) is equal to x squared, or Y is equal to x squared, either one.

Let me think. three times x plus five is equal to eight times x plus two.

So let's let x, x is equal to the number that 150 is 25 of, right?

(Your heart will break within) (Your heart will break within) (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Cast off everything (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Let your heart burn (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Cast off everything (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Let your heart burn

So let's say that I have the function f(x) let me, just for the sake of variety, let me call it g(x).

If we substitute x squared in for y. x squared to the third power is x to the sixth. x to the sixth times x let me write that.