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General Category => General Board => Homework Haven => Topic started by: Zeek on December 12, 2009, 10:11:35 PM

Title: Need help with algbra
Post by: Zeek on December 12, 2009, 10:11:35 PM
i have exams this week and i need help with some algebra that i dont know
Title: Re: Need help with algbra
Post by: BFM_Kiwi on December 12, 2009, 10:43:57 PM

Could you be more specific??
Title: Re: Need help with algbra
Post by: McSkittles on December 12, 2009, 11:12:54 PM

Could you be more specific??


Indeed.
Title: Re: Need help with algbra
Post by: Liam on December 15, 2009, 12:20:51 AM
Tell me it's polynomials right? Cmon, it's polynomials....Please! I'm good at polynomials  :P I also like to say polynomials....and trinomials, anyway, I'll see if I can help once you narrow it down.  ;D





Polynomials
Title: Re: Need help with algbra
Post by: jim360 on December 15, 2009, 04:51:19 AM
I thought the main point of algebra was that you didn't know some things anyway. THat's why they use "x" and "y" and call them "unknowns".

If you put up the specific problem there are plenty of people here who'll be able to help you.
Title: Re: Need help with algbra
Post by: Zeek on December 15, 2009, 01:52:59 PM
ok like i need help with % of change with sales/taxes and discounts
Title: Re: Need help with algbra
Post by: jim360 on December 15, 2009, 03:22:18 PM
That's probably still not specific enough - what is the discount, and how much tax is there on what amount of money?

Having said that for a discount of d% you can say that given a starting price of x the new price is x-d*x/100, and similarly you can work what a t% tax rate comes to in real terms by saying that tax=t*y/100, where y is the amount of money that is being taxed.

If you're taxing on the discount price (what you pay after the discount) then in the second formula you would use y=x-d*x/100, and either add or subtract this result to y found earlier.

That's just about all I think there is to it.

As an example: if there's a 30% discount with VAT of 17.5% (the rate in the UK from January 2010) then for an item the shop would sell at £10 normally (excluding VAT) would cost the customer [17.5*(10-(30*10/100))/100]+[10-(30*10)/100]=£8.22 if VAT is worked out based on the discount price, or [17.5*10/100]+[10-(30*10)/100]=£8.75 if, as is probably more usual, VAT is worked out based on the normal selling price.

This is rather ugly, I grant you, but that's economics for you. :P

Title: Re: Need help with algbra
Post by: Liam on December 15, 2009, 07:17:55 PM
*blink*  :o

*Runs away to go do polynomials*
Title: Re: Need help with algbra
Post by: jim360 on December 15, 2009, 07:52:53 PM
Well Liam, since you're so keen on Polynomials why don't you go prove the Fundamental Theorem of Algebra for me?

And then I'd love to know about Galois Representations...  :P
Title: Re: Need help with algbra
Post by: Liam on December 16, 2009, 12:21:01 AM
The Fundamental Theorem of Algebra says that for any polynomial f(x) with the degree n, where n>0, f must have at least one root, and not more than n roots alltogether. A root is a number x so that f(x) = 0.

Proof. Let n denote the degree of f . Without loss of generality, the assumption can be made that the leading coefficient of f is 1 . Thus, f(z)=zn+n−1m=0cmzm  .

Let R=1+n−1m=0cm  . Note that, by choice of R , whenever zR , f(z)=0 . Suppose that zR . Since R1 , zazb whenever 0ab . Hence, we have the following string of inequalities:

    n−1m=0cmzm    1+n−1m=0cmzmzn−1+n−1m=0cmzn−1Rzn−1zn

Since polynomials in z are entire, they are certainly analytic functions in the disk zR . Thus, Rouché's theorem can be applied to them. Since     n−1m=0cmzm    zn  for zR , Rouché's theorem yields that zn and f(z) have the same number of zeroes in the disk zR . Since zn has a single zero of multiplicity n at z=0 , which counts as n zeroes, f(z) must also have n zeroes counted according to multiplicity in the disk zR . By choice of R , it follows that f has exactly n zeroes in the complex plane.

 ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D ;D

And what about Galois Representation exactly would you wish to know, three60?  :XD:

**Work Of: Wikipedia user and plantetmath.org**
Title: Re: Need help with algbra
Post by: jim360 on December 16, 2009, 02:59:07 AM
It took a while for me to decipher that :P but I imagine that "0cmzm" means "sum from m=0 to some upper limit [probably n or n-2] of cmzm"? meanwhile, zn=zn, where n and m are natural numbers such that m is less than or equal to m and n is non-zero.

The moral of this story is: don't just copy and paste from a maths document.
Title: Re: Need help with algbra
Post by: Liam on December 16, 2009, 06:55:27 PM
Haha, I was in way over my head  :XD:

Plus, I did give them credit    :haw:

   
**Work Of: Wikipedia user and plantetmath.org**

Hehe, anyway I bow down to you three60, you are the true master of maths.  :P
Title: Re: Need help with algbra
Post by: Goalie on December 16, 2009, 11:07:35 PM
I know what a large S in front of an expression means, and that's all I need to know about math.  And ANOVA, Simplex, differentials, random variables, curves, vectors, etc...

Hmm, now that I think about it, Industrial Engineering (my major) seems to encompass more types of mathematics than the other aspects of Engineering.  Electricals normally work with Calculus, Mechanicals (and many other types as well) with Physical math.  Industrials need to know Probability and Statistics, Linear Algebra, Calculus, and a few more that I have not learned about yet.  I find it very interesting how integrated math is to my career compared to other related fields.

That being said, math is one of my favorite subjects.  If it's high school algebra, I can most certainly help with that.

And what you just did 360 was business math.  But not like microeconomics doesn't use it.  I mean, I did take a course in that area last semester. ;D
Title: Re: Need help with algbra
Post by: Miser on December 17, 2009, 08:30:46 PM
What percentage of math help threads go off topic after 5 posts?
Title: Re: Need help with algbra
Post by: gamepanther on February 18, 2010, 03:55:22 AM


The moral of this story is: don't just copy and paste from a maths document.


LOL ;D ;D ;D :winkgrin: :winkgrin: :winkgrin: :siderofl: :siderofl: :siderofl: :LOL: :LOL: :LOL: that is halarious 60
Title: Re: Need help with algbra
Post by: Trael on June 05, 2010, 09:01:32 AM
What percentage of math help threads go off topic after 5 posts?
100% :LOL:
Title: Re: Need help with algbra
Post by: conrad96 on July 14, 2010, 10:26:57 AM
ok like i need help with % of change with sales/taxes and discounts
all i remeber for that is IPRT which is for intrest it is

intrest= price X rate X tax (i think) correct me if i'm wrong
Title: Re: Need help with algbra
Post by: conrad96 on August 05, 2010, 01:12:50 PM
Tell me it's polynomials right? Cmon, it's polynomials....Please! I'm good at polynomials  :P I also like to say polynomials....and trinomials, anyway, I'll see if I can help once you narrow it down.  ;D





Polynomials

im just starting polynomials liam, can u answer a question for me? do polynomials have a sloution or are they just this big line of variables and exponents?
Title: Re: Need help with algbra
Post by: jim360 on August 06, 2010, 02:41:28 AM
*changes name to Liam for a minute*

It very much depends on the polynomial and how you write it.

Suppose, for example, that you have the polynomial x3+x2+x+1 on its own. That has no solutions because it's not an equation. You could anyway work out the zeroes of that polynomial by letting it be equal to zero and solving x3+x2+x+1=0 . Then you'd get x3+x2+x+1 = (x+1)(x2+1) and you can't simplify it further.

On the other hand we've just found a polynomial that has no solutions, which was x2+1 = 0. Try any real number you can think of and you won't find one that satisfies this equation.

So not all polynomials have a solution when you're setting that polynomial equal to zero.



Of course, a few people would soon point out that in fact x2+1 =0 does have a solution, which is (x+i)(x-i), but I'm assuming that you've not learned about i and that you don't need to know yet. If, however, you're interested, i is the imaginary number that among other things allows all polynomials to have solutions. Its value is given by:

i2= -1.

That is, by definition it is the number that satisfies x2+1=0.
Title: Re: Need help with algbra
Post by: conrad96 on August 10, 2010, 02:17:18 PM

they seem so extremely pointless, and now were throwing fractions into the mix :( i thought high school was fun
Title: Re: Need help with algbra
Post by: Bulk on September 21, 2010, 04:12:57 PM
ah polynomials, i assume that it's the fancy term for quadratic equations yes?
good ol GCSE
WHY DID a LEVEL HAVE TO RUIN MATHS
Title: Re: Need help with algbra
Post by: jim360 on September 22, 2010, 01:15:33 AM
How do you mean?
Title: Re: Need help with algbra
Post by: Goalie on September 22, 2010, 10:11:43 AM
ah polynomials, i assume that it's the fancy term for quadratic equations yes?
good ol GCSE
WHY DID a LEVEL HAVE TO RUIN MATHS

A polynomial is several monomials put together.  A monomial is one term, something like 4x2, and a polynomial is something like 6x4+x3+4x2+6.

In latin, mono means "one" and poly means "several" or "many."
Title: Re: Need help with algbra
Post by: RadZakpak on September 22, 2010, 04:24:19 PM
oi, algebra......
Title: Re: Need help with algbra
Post by: TUR80 on October 03, 2010, 11:25:41 PM
here iis some simple stuff

4x+5=13
4x+5-5=13-5
4x=8
[4x]/4=8/4
x=4
this prob to simple though
Title: Re: Need help with algbra
Post by: jim360 on October 04, 2010, 04:02:05 AM
Actually, x=2.
Title: Re: Need help with algbra
Post by: Zeek on October 15, 2010, 02:09:32 PM
wow!!! havent seen this in ages lol. i am now in geometry and have a tutor at school :) i am having trouble with proofs, soo annoying and confusing unless u know thinks like def of congruent angles and such....
Title: Re: Need help with algbra
Post by: Goalie on October 15, 2010, 09:04:15 PM
Geometric proofs are really just a test on your memory and not skills.  Some of the theorems that you learn in geometry will be useful later on, others you will never use again.
Title: Re: Need help with algbra
Post by: Joel on January 06, 2011, 10:34:46 PM
Im gonna need some ibuprofen after all that! my head hurts  :XD:
Title: Re: Need help with algbra
Post by: MrMxyzptlk on January 07, 2011, 12:05:13 PM
Geometric proofs are really just a test on your memory and not skills.  Some of the theorems that you learn in geometry will be useful later on, others you will never use again.

Memory IS a skill!  :winkgrin:

Geometry proofs also involve "logical thinking" skills, since they prefer a "shortest solution" path, so you have to have the skill of "probable path" logical thinking.

I LOVED Geometry proofs in middle school!  (It might've helped that the teacher was a fox, too!  ;D )

Title: Re: Need help with algbra
Post by: Joel on January 11, 2011, 01:47:37 AM
(It might've helped that the teacher was a fox, too!  ;D )

mxy im not sure that's entirely appropiate  :smly_a_wink:


Title: Re: Need help with algbra
Post by: ¥Mderms¥ on January 11, 2011, 01:49:11 AM
What percentage of math help threads go off topic after 5 posts?

>9000% of them.


mxy im not sure that's entirely appropiate  :smly_a_wink:




Don't worry Joel. When Mxy was doing Geometry he was writing with pieces of Charcoal and writing on stone slabs.

I'm fairly sure Ms. Gsptlsnz will keep Mr. Mxyzptlk in line though.

:winkgrin:
Title: Re: Need help with algbra
Post by: Joel on January 12, 2011, 10:51:48 PM
lol