General Math Thread

Discussion in 'General Off-Topic' started by antimatter420, Feb 14, 2012.

  1. andyz118

    andyz118 Active Member

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    Any one any good at Inderect (inverse) proportion here, i have a question for you if you are good at it =S
     
  2. antimatter420

    antimatter420 Member

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  3. andyz118

    andyz118 Active Member

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    okay, heres a table

    x 4 9 1 16
    y 18 12 36 ?

    I need to know what is ? and what is the equation for it, i also want to know how you did it (just the basics i dont want to go to geeky)
     
  4. Dannylb

    Dannylb Well Known Member

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    Histroy of maths
    Why do we use the letter C in y=mx + c ???
    For example: We use the M because in french the word for slope is monter, and i have been asked to find out what C stands for.
    I could just look this up on google, but i want to see how smart my fellow players are at this certain area of maths!;)
     
  5. bajj597

    bajj597 Forum Legend

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    We us y = mx + b
    Slope-intercept form, right?
    b = y intercept
     
  6. Dannylb

    Dannylb Well Known Member

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    Both b and c are the same but i found out where c comes from.. Its the third highest quality
    A(1) b(2) c(3) d(4) e(5) ETC not sure if it is the correct reason but its what i have handed in to my maths professor!
     
  7. bajj597

    bajj597 Forum Legend

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    yall done quadratic formula yet? (-b +/- (Sq)b2-4ac)/2a
    well that helps with the basic formula of ax^2 + bx + c = 0
    that "c" might be where the slope-intercept from comes from as well. But in a way that is where your
    comes in.
     
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  8. antimatter420

    antimatter420 Member

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    Andyz; there are a number of ways to fill in the question mark. What we need to know is; do you know any relationship between the previous numbers? Is there a linear relationship? Quadratic? ...?

    Danny; I have no idea. Maybe the author of your math book thought it was nice to always name that number "c" but in general, there is no 'universally accepted' name for that number.
     
  9. andyz118

    andyz118 Active Member

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    The relationship you have to work out for your self, though it is not a sequence if that is what you are thinking, shall i make it easier and put some order to the numbers? *hears a yes*

    x 1 4 9 16
    y 36 18 12 ?

    Also if there is a sevral number of ways to figure out the question mark tell me all your answers and there rules? Theres always more than one answer to things like this.
     
  10. antimatter420

    antimatter420 Member

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    Well, since four points define a polynomial with degree 3, we could start by writing

    f(x) = ax^3 + bx^2 + cx + d

    then fill in the x and y=f(x) values, and compute the coefficients a,b,c,d. This is the first thing that comes to my mind.
     
  11. antimatter420

    antimatter420 Member

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    The method I described above isn't really idiot proof, by the way. Since the y value of the fourth point is not known, we end up having to make some estimated guesses about the coefficients.

    I also tried an exponential relation f(x) = b*a^x, which works for x = 1 and x =4, but fails when x = 9.
     
  12. Zachamoo

    Zachamoo Active Member

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    THe way i see it, 10x = 9.999999999999999...0 (<-- Zero at end of neverendin number, FTW)
    and x = .9999999999999999...9
    so then 10x - x = 9x = 8.99999999999...

    BTW (Challenge) Algebra level, so don't get mads at me for this d:
     
  13. antimatter420

    antimatter420 Member

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    There is no such thing as a 'last digit' in an infinite sequence.
     
  14. Zachamoo

    Zachamoo Active Member

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    but is there such thing as 1 = .999999999999.... ???
     
  15. bajj597

    bajj597 Forum Legend

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    simple answer - yes.
     
  16. antimatter420

    antimatter420 Member

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    Yes. In fact, "1" and "0.99999999999...." are the same number. The only difference is that they have different representations, ie. decimal notation.
     
  17. pa1d2k1ll

    pa1d2k1ll New Member

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    Solve and check for extraneous solutions:

    √(x^2+3)=x+1

    That's a legit question straight out of my math book.
     
  18. pa1d2k1ll

    pa1d2k1ll New Member

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    No technically 1 is off of 0.9 by an infinitely small decimal that our puny human brains can't even begin to comprehend.
    But a lot of people tend to just round it up.
     
  19. andyz118

    andyz118 Active Member

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    ugh, mabey because it is a reacuing decimal turning it into a fraction or percentage would prove that 0.99999 reacuring is not a decimal. any one care to proe this?

    3 right answers for 5 gold anti, lets see if you can get some more, if there is any. Your currently 1/3
     
  20. antimatter420

    antimatter420 Member

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    I'm sorry but that's just not true. That would mean that [​IMG] but this is false. Here's a more rigorous proof:

    [​IMG]

    This is an example of a geometric series; see http://en.wikipedia.org/wiki/Geometric_series.
     

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