Split (1)

train · 116k rows

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
volunteer	Cause you should get 5 minus 4 I.	21,191	592	[]
student	oh wait.	21,191	593	[]
student	no, my g(x) = 9x^x - 82x - 1	21,191	594	[]
volunteer	Right, that's not the right equation, your G of X should be 9 X.	21,191	595	[]
volunteer	Wait, X to the X?	21,191	596	[]
volunteer	To be next to a second. Anyway,	21,191	597	[]
student	sorry 9x^2	21,191	598	[]
volunteer	Your GMX should be 9 x minus 8 square root x minus 1.	21,191	599	[]
student	yeah,	21,191	600	[]
volunteer	But you have no square root X in your	21,191	601	[]
volunteer	Oh, I see what you said 82 X.	21,191	602	[]
volunteer	Your terms are way off. How do you have an X 2 in a square to x.	21,191	603	[]
volunteer	I am baffled. I have no idea where you got -16.	21,191	604	[]
volunteer	Can you do your work on the board. Let me, um,	21,191	605	[]
volunteer	Mm	21,191	606	[]
student	yeah	21,191	607	[]
volunteer	Make some space unless you want to do it for me.	21,191	608	[]
volunteer	To my work in the years up there.	21,191	609	[]
student	do i erase work from the board	21,191	610	[]
volunteer	Sure.	21,191	611	[]
volunteer	I'm already working on it.	21,191	612	[]
student	ok then	21,191	613	[]
volunteer	Um	21,191	614	[]
volunteer	I made some room close to the bottom.	21,191	615	[]
volunteer	Where I started working.	21,191	616	[]
student	yes, I see it	21,191	617	[]
volunteer	Oops.	21,191	618	[]
volunteer	Why are you doing all this algebra again?	21,191	619	[]
volunteer	Are we not just plugging in	21,191	620	[]
volunteer	X is equal to	21,191	621	[]
volunteer	0.25.	21,191	622	[]
volunteer	To our original expression g(x) to see if what happens when X is less than 0.	21,191	623	[]
student	I thought, let's make sqr root dissappear then, plug in x value.	21,191	624	[]
student	I think i did it wrong	21,191	625	[]
volunteer	Yeah, cause if you get rid of the square root, then yeah, obviously you're, you're gonna be able to define um when is less than 0, but that's not original expression. Now you're manipulating it, um.	21,191	626	[]
volunteer	But that's not the original expression.	21,191	627	[]
volunteer	That's the same as saying,	21,191	628	[]
volunteer	Um	21,191	629	[]
volunteer	If we look at the	21,191	630	[]
volunteer	If we look at X + 2.	21,191	631	[]
volunteer	Well let's go with X minus 2.	21,191	632	[]
volunteer	Over X^2 minus 4.	21,191	633	[]
volunteer	Right? And we know there are asymptotes that X cannot equal.	21,191	634	[]
volunteer	Negative.	21,191	635	[]
volunteer	Um	21,191	636	[]
volunteer	Actually, let me rewrite that. It should be.	21,191	637	[]
volunteer	The other way around.	21,191	638	[]
volunteer	If we had y minus 4 over X minus 2.	21,191	639	[]
volunteer	Right?	21,191	640	[]
volunteer	Now, in this expression,	21,191	641	[]
volunteer	We have an asymptote ver vertical as until X is equal to 2, right? Cause at that point,	21,191	642	[]
volunteer	It becomes undefined.	21,191	643	[]
volunteer	You with me?	21,191	644	[]
student	yeah	21,191	645	[]
student	right	21,191	646	[]
volunteer	OK, but what happens when we do geometry, when we do algebra and we factor out X + 2.	21,191	647	[]
volunteer	X minus 2 in the numerator.	21,191	648	[]
volunteer	Over X minus 2, and we cancel out, then that just becomes X + 2.	21,191	649	[]
volunteer	Now, the point is, is, is X is the graph of x + 2 the same.	21,191	650	[]
volunteer	As these two are they interchangeable.	21,191	651	[]
volunteer	And I would say, sorry, go ahead.	21,191	652	[]
volunteer	What do you think?	21,191	653	[]
student	they are same	21,191	654	[]
student	same graphs	21,191	655	[]
volunteer	They're the same? OK, good.	21,191	656	[]
volunteer	Let's	21,191	657	[]
volunteer	See if that's true.	21,191	658	[]
volunteer	Uh, I'll leave this up here. Let's go with simple one X + 2, right? Just mine.	21,191	659	[]
volunteer	Now, let's try. X to the 2nd.	21,191	660	[]
volunteer	-4.	21,191	661	[]
volunteer	Divided by X minus 2.	21,191	662	[]
volunteer	They are	21,191	663	[]
volunteer	The same.	21,191	664	[]
volunteer	Yeah, so they are the same. It's the same. So it's the, huh, it's defined at	21,191	665	[]
volunteer	I go too.	21,191	666	[]
volunteer	Interesting.	21,191	667	[]
volunteer	But then why are	21,191	668	[]
volunteer	So that makes sense, I guess. It's the same expression, but then,	21,191	669	[]
volunteer	Our original expression is, if we consider the two expressions, these have different	21,191	670	[]
volunteer	Values	21,191	671	[]
volunteer	9 X word. Oh, it's because of the	21,191	672	[]
volunteer	Um, let me try this. If I change my coefficients to 81.	21,191	673	[]
volunteer	And 64.	21,191	674	[]
volunteer	This set out to be plus one?	21,191	675	[]
student	-82x	21,191	676	[]
volunteer	Let's try plus one. Yeah, no.	21,191	677	[]
volunteer	One.	21,191	678	[]
volunteer	Yeah, no, still not the same.	21,191	679	[]
volunteer	Where did you get? You ended up getting 81.	21,191	680	[]
volunteer	Thanks	21,191	681	[]
volunteer	Let me see 2 weeks.	21,191	682	[]
volunteer	I see.	21,191	683	[]
volunteer	81 X^2 minus 82 x + 1.	21,191	684	[]
volunteer	So it is plus one.	21,191	685	[]
volunteer	But you're saying	21,191	686	[]
volunteer	82.	21,191	687	[]
volunteer	I mean, it has the same	21,191	688	[]
volunteer	Doesn't behave the same.	21,191	689	[]
volunteer	Um, continue, sorry, continue doing your	21,191	690	[]
volunteer	I know you did it earlier. Did I delete it?	21,191	691	[]

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