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 ..... Quote Me Happy
Joined: 15 Jan 2005 Karma :   
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| thegubner |
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 thegubner World Chat Champion
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| Mehty |
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 Mehty Spanner Monkey
Joined: 25 Jul 2011 Karma :     
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 Posted: 09:22 - 22 Oct 2011 Post subject: |
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x goes up and so does y?
I should know this, but iv been out of school for 2 years now so its all gone  ____________________ 2007 YBR 125 (sold), 2011 ER6-N (sold), LHD 1999 GSX750F (sold), ??? ??? |
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| Poseidon |
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 Poseidon World Chat Champion

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| -Savage- |
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 -Savage- World Chat Champion

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| ..... |
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 ..... Quote Me Happy
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 Posted: 10:10 - 22 Oct 2011 Post subject: |
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Thanks guys  |
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| Deckx |
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 Deckx Nearly there...

Joined: 09 Apr 2007 Karma :     
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 Posted: 02:36 - 23 Oct 2011 Post subject: |
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mmm... whats the point of this type of maths  |
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| SoND |
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 SoND World Chat Champion

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| Skudd |
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 Skudd Super Spammer

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| Poseidon |
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 Poseidon World Chat Champion

Joined: 15 Aug 2008 Karma :   
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 Posted: 10:44 - 23 Oct 2011 Post subject: |
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Okay, this has been annoying me since I posted... The formula I suggested is this:
https://latex.codecogs.com/gif.latex?y=(2x)^{2}-1
Which, whilst correct, can be simplified to what savage wrote. I was dashing out of the door when I replied yesterday, so didn't spot this at the time! I personally would go with this formula (savages answer) as it looks neater not having the brackets:
https://latex.codecogs.com/gif.latex?y=4x^{2}-1 ____________________ 1977 Honda CG125
2002 Ducati Monster S4 (currently restoring)
Last edited by Poseidon on 17:05 - 23 Oct 2011; edited 1 time in total |
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| Poseidon |
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 Poseidon World Chat Champion

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| SoND |
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 SoND World Chat Champion

Joined: 10 Jul 2005 Karma :  
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 Posted: 11:01 - 23 Oct 2011 Post subject: |
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Deleted my post because I wanted to think about it for a while  ____________________ Go back to bed - You have no rights - "Streetfighters ~ Mainstream motorcycling's crackwhore sister." |
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| Poseidon |
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 Poseidon World Chat Champion

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 Posted: 11:04 - 23 Oct 2011 Post subject: |
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Good job I quoted you then eh!  ____________________ 1977 Honda CG125
2002 Ducati Monster S4 (currently restoring) |
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| SoND |
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 SoND World Chat Champion

Joined: 10 Jul 2005 Karma :  
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 Posted: 11:15 - 23 Oct 2011 Post subject: |
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When you're inputting it into a calculator you need to start putting the brackets in but when you're writing/reading it algebraically the coefficient takes priority over the index.
When you read "2x²" you're taking two of x and squaring the result of that.
(2 * x)² - 1 == 4(x²) - 1 - Nonsense.
EDIT:
You're right and I'm a dumbass.
Fuck  ____________________ Go back to bed - You have no rights - "Streetfighters ~ Mainstream motorcycling's crackwhore sister." |
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| Poseidon |
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 Poseidon World Chat Champion

Joined: 15 Aug 2008 Karma :   
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 Posted: 13:09 - 23 Oct 2011 Post subject: |
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It helps I'm doing this sort of stuff on a daily basis at the moment. Specifically using the exponent function for population changes over time (bacteria mostly).
@deckx:
As SoND said, it allows you to do all kinds of funky stuff like working out rates of change etc, but it also means you don't have to draw a graph to find the Nth term... For example, if you were asked to find y when x=7,563 for the formula in this thread. Whilst you could draw the graph to find the answer, you'd have to draw the x-axis to 7,563 and the y-axis to almost 230million (might be a little time consuming!). Using the formula, you can work out that when x=7,563, y=228,795,875 in a matter of seconds! ____________________ 1977 Honda CG125
2002 Ducati Monster S4 (currently restoring) |
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| st3v3 |
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 st3v3 Super Spammer

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| Whosthedaddy |
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 Whosthedaddy Super Spammer
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| swampy |
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 swampy World Chat Champion

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| WildGoose |
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 WildGoose White Van Man

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 Poseidon World Chat Champion

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 SoND World Chat Champion

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| st3v3 |
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 st3v3 Super Spammer

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| LordShaftesbu... |
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 LordShaftesbu... World Chat Champion

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| SoND |
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 SoND World Chat Champion

Joined: 10 Jul 2005 Karma :  
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 Posted: 19:53 - 23 Oct 2011 Post subject: |
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Think of it as an undefined variable until we put something in it.
In the original question we know that "Y" is equal to 4x² - 1.
Y is defined, it's not empty, we know what it is. It's 4x² - 1!
What does this mean? On a 2D graph you have two axis, y (vertical) and x (horizontal). You can pick any point on the x-axis, say "I want to know what 'Y' is when I'm at this point." then find it out by using the definition of 'Y'.
Let's pick the number 0 on the x-axis. We are saying x = 0
We take '0' and substitute it into the original equation (put 0 everywhere it says 'x')
When x = 0
Y = 4(0²) - 1
Y = -1
When x = 1
Y = 4(1²) - 1
Y = 4 - 1
Y = 3
When x = 2
Y = 4(2²) - 1
Y = 4(4) - 1
Y = 16 - 1
Y = 15
and so on. ____________________ Go back to bed - You have no rights - "Streetfighters ~ Mainstream motorcycling's crackwhore sister." |
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| SoND |
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 SoND World Chat Champion

Joined: 10 Jul 2005 Karma :  
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 Posted: 13:19 - 28 Oct 2011 Post subject: |
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| st3v3 wrote: | I always get stumped att he point where a letter equals a number; so X = 2 and Y = 5.
How the fook can a letter equate to a number? How do you 'just' allocate a number to a letter; what gives it a corresponding value? |
I don't think I answered this in the way you wanted at all.
Let's try again.
An equation is a logical statement of fact.
5x + 5 = 10
Take 5 of something, add 5 to it and you get 10. Obviously the correct value of x in this case is 1. Your answer is true, it makes sense. Try using any other number for x and suddenly the statement is nonsense.
Let's try saying x is equal to 2.
5(2) + 5 = 10
Nonsense! Five twos plus five is equal to 15! This is wrong!
It's abstract thinking but it is logical. You don't need to relate it to anything in the real world, a lot of people will struggle because they can't picture anything in their head.
-----------------------------
Let's look at something practical, it takes a little algebra but it's not too bad.
Five pens and two rulers cost 94p. If a ruler costs 5p more than a pen, find the cost of each.
What are we being told? What information is there that we can make use of?
5 pens + 2 rulers = 94p
Wtf are we meant to do with this? Start multiplying and guessing? Nooo, it's much easier.
This is where we would assign letters to the unknowns to make life easier for ourselves. We'll call a pen 'x', and a ruler 'y'.
So now we have
5x + 2y = 94
There are two unknowns! We can't do anything with this! But slow down a second, we know how much a ruler costs. It's a pen + 5p!
A ruler = A pen + 5p
y = x + 5
If 'y' is equal to that, we can put it into our equation and if you look closely it still holds true.
5x + 2y = 94
5x + 2(x + 5) = 94
^Both are exactly the same, you haven't changed the value of anything, just rewrote it in an easier way to solve.
Now let's solve it.
5x + 2x + 10 = 94
7x + 10 = 94
7x = 94 - 10
7x = 84
x = 84 / 7
x = 12p
A pen costs 12p! How much is a ruler though?
y = x + 5
y = 12 + 5
y = 17p
Take your time, write it out it step by step and by the end of it you will realise you probably already knew this stuff. I've left out some intermediate steps involved in the calculation for the sake of being neat so don't worry if that trips you up. ____________________ Go back to bed - You have no rights - "Streetfighters ~ Mainstream motorcycling's crackwhore sister." |
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Old Thread Alert!
The last post was made 14 years, 64 days ago. Instead of replying here, would creating a new thread be more useful? |
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