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Mathematics 11 Online
OpenStudy (smokeysthename):

math help (: @terenzreignz

OpenStudy (smokeysthename):

terenzreignz (terenzreignz):

this is... taxing... :D

OpenStudy (smokeysthename):

whats that?

terenzreignz (terenzreignz):

\[\huge \frac6{x-6}-\frac{2}{x-2}=\frac{-x}{x^2-8x+12}\]

terenzreignz (terenzreignz):

Just lengthy But I think it's easy :) Let's work on the left side, shall we?

OpenStudy (smokeysthename):

lets do it (:

terenzreignz (terenzreignz):

First, always... \[\huge \frac{a}b\pm\frac{c}d=\frac{ad\pm bc}{bd}\]

terenzreignz (terenzreignz):

So, can you apply this to the left side? Don't simplify yet, though...

OpenStudy (smokeysthename):

6(x-2) - (<--?) 2(x-6) ------------------ (x-6)(x-2)

terenzreignz (terenzreignz):

Yes, quite correct. NOW simplify the denominator. Don't worry, just type the new denominator for me :)

OpenStudy (smokeysthename):

okkk x^2 - 2x - 6x +12

terenzreignz (terenzreignz):

simplify... you have a -2x - 6x there... :/

OpenStudy (smokeysthename):

oh jk, -8x x^2-8x+12

terenzreignz (terenzreignz):

and notice, it's the same denominator as on the right side :D

OpenStudy (smokeysthename):

ahhh it is :D

terenzreignz (terenzreignz):

\[\huge \frac{6(x-2)-2(x-6)}{x^2 - 8x + 12}=\frac{-x}{x^2-8x+12}\]

terenzreignz (terenzreignz):

And clearly if \[\huge \frac{a}c=\frac{b}c\]then\[\Huge a=b\]

OpenStudy (smokeysthename):

okay so do i simplify "a" now?

terenzreignz (terenzreignz):

well, you can cancel out the denominators on both sides, since they're the same, right?

OpenStudy (smokeysthename):

yes so a=b

terenzreignz (terenzreignz):

yeah, so \[\huge 6(x-2)-2(x-6)=-x\] Now solve it like the brilliant student that you are :)

OpenStudy (smokeysthename):

:D 6x-12-2x+12 12's cancel out so 6x-2x=4x -4x=x...? im confused....did i do that right?... lol

terenzreignz (terenzreignz):

Yeah, you did. Solve it. It might throw you off, but there is ONE value of x that would make this true...

OpenStudy (smokeysthename):

-4?

terenzreignz (terenzreignz):

No... -4(-4) \(\ne\) -4

OpenStudy (smokeysthename):

16

terenzreignz (terenzreignz):

Look, add 4x on both sides...

terenzreignz (terenzreignz):

you get 0 = 5x

OpenStudy (smokeysthename):

divide by 5 which equals 0..

terenzreignz (terenzreignz):

Yeah, so x = 0 There, you're done :)

terenzreignz (terenzreignz):

You can check it with your original equation, you'll see it checks out.

OpenStudy (smokeysthename):

yaaaaaay c:

OpenStudy (smokeysthename):

i think its going to be 8/19...

terenzreignz (terenzreignz):

Correct.

OpenStudy (smokeysthename):

yaaaay :D

OpenStudy (smokeysthename):

OpenStudy (smokeysthename):

i got nothing..

terenzreignz (terenzreignz):

Well, what's the probability of choosing a freshman on the first selection?

OpenStudy (smokeysthename):

166/801

OpenStudy (smokeysthename):

and for senior its 240 / 801

OpenStudy (smokeysthename):

reduces to 80/267

terenzreignz (terenzreignz):

Slow down there :) odds for the first draw being a freshman is 166/801 STOP

terenzreignz (terenzreignz):

Now, at the SECOND draw, what are the odds of it being a senior?

OpenStudy (smokeysthename):

do i subtract 166 out of 801?

terenzreignz (terenzreignz):

No... just one ;) since you already took ONE freshman out of the draw :D

OpenStudy (smokeysthename):

oh jk lmao 240/800

OpenStudy (smokeysthename):

reduces to 3/10

OpenStudy (smokeysthename):

helllloooo i need to hurry and do this... its almost 11:30... gotta wake up at 5:30.. lol

terenzreignz (terenzreignz):

Okay, so multiply those, and you have your probability :)

OpenStudy (smokeysthename):

sorrry to rush.. :P

terenzreignz (terenzreignz):

3/10 and 166/801

terenzreignz (terenzreignz):

Hah, so now you know how it feels to be me... :P Except now, here, it's broad daylight :D

OpenStudy (smokeysthename):

haha oh hush... btw its .06

OpenStudy (smokeysthename):

right?

terenzreignz (terenzreignz):

yeah, rounded off, if that's how you like it :)

OpenStudy (smokeysthename):

im going to keep it as .06

terenzreignz (terenzreignz):

Suit yourself :)

OpenStudy (smokeysthename):

okay i have 10 questions. im doing 5 tonight and 5 tomorrow when i get off work at 3 pm.

OpenStudy (smokeysthename):

terenzreignz (terenzreignz):

10 more? o.O

OpenStudy (smokeysthename):

no no no.. 10 questions total.

terenzreignz (terenzreignz):

Sum of an infinite geometric series is given by this formula \[\huge \frac{a}{1-r}\]

terenzreignz (terenzreignz):

Where a is the first term and r is the common ratio.

OpenStudy (smokeysthename):

okk

OpenStudy (smokeysthename):

a=1

terenzreignz (terenzreignz):

What's your common ratio, then?

terenzreignz (terenzreignz):

Common ratio is what you multiply to the first term to get the second term, and it should be the same as what you multiply to the second term to get to the third.

OpenStudy (smokeysthename):

-1/2?

terenzreignz (terenzreignz):

Correct. So r = -0.5 Now solve.

OpenStudy (smokeysthename):

1/1.5?

terenzreignz (terenzreignz):

Yeah, whatever that is :D

terenzreignz (terenzreignz):

But it's 2/3

OpenStudy (smokeysthename):

oh lmao!

OpenStudy (smokeysthename):

yayayayay :D

terenzreignz (terenzreignz):

Your second sequence is an arithmetic sequence. The n'th term of an arithmetic sequence is given by the formula \[\huge a+(n-1)d\]where a is the first term and d is the common difference.

terenzreignz (terenzreignz):

The common difference d is what you ADD to the first term to get the second term, should be the same as what you add to the second term to get the third term, should be the same as what you add to the third term to get the fourth term, etc...

OpenStudy (smokeysthename):

lol ok so a= -12 n= 20 d=7

terenzreignz (terenzreignz):

Yes. Very good :) Now solve.

OpenStudy (smokeysthename):

20th term =121

terenzreignz (terenzreignz):

Nice job.

OpenStudy (smokeysthename):

thanks (: will these take too long to do?

terenzreignz (terenzreignz):

6 won't.

OpenStudy (smokeysthename):

alright we'll do the rest tomorrow..will you be on at about 4pm my time?

terenzreignz (terenzreignz):

what time is it there, now?

OpenStudy (smokeysthename):

11:40pm

terenzreignz (terenzreignz):

that'd be the day... that's 4am my time o.O

terenzreignz (terenzreignz):

Means i can't guarantee it.

OpenStudy (smokeysthename):

0.0 awh man.... lol

terenzreignz (terenzreignz):

Just go online and see if I am... if I am... if not, there are plenty of other users that can help you out :)

OpenStudy (smokeysthename):

there not as good to explain things as you are though :o

terenzreignz (terenzreignz):

Oh, but they won't be boring, that's for sure :P (You can go ahead and hunt Pan now :D )

OpenStudy (smokeysthename):

lol pan isnt here :( boooo. but okay gooodnight ill only get like 5 hrs of sleep /:

terenzreignz (terenzreignz):

Good night.

OpenStudy (smokeysthename):

----TINK OUT---- ;P

terenzreignz (terenzreignz):

o.o

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