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Mathematics 8 Online
OpenStudy (anonymous):

I challenge you to answer this. Nobody can do it so far!

OpenStudy (mgallagher22):

what do you challenge me?

OpenStudy (anonymous):

If you have a function y=(b*x-a)/(a+c*x) Can you find a value for x if y is given?

OpenStudy (owen3):

x= a*(y+1)/(-c*y+b)

OpenStudy (anonymous):

a= -3,516995576918316 b= 0,18734459582847 c= -0,0144436993225714 y=33.6

OpenStudy (anonymous):

checking... it should be around 55

OpenStudy (owen3):

You want me to find x, given that y?

OpenStudy (anonymous):

I calculated by your formula and its not correct

OpenStudy (owen3):

do you agree that, using your a,b,c x = -3.516995576918316*(y+1)/(0.0144436993225714*y+.18734459582847)

OpenStudy (owen3):

i cant fit that in one line

OpenStudy (anonymous):

Here is the graph

OpenStudy (owen3):

$$ x = \frac{-3.516995576918316*(y+1)}{(0.0144436993225714*y+.18734459582847)}$$

OpenStudy (owen3):

do you agree with that then i plug in y = 33.6

OpenStudy (anonymous):

wait a sec

OpenStudy (anonymous):

what did u get? It must be around 55

OpenStudy (owen3):

I got -180

OpenStudy (anonymous):

did u look the graph?

OpenStudy (owen3):

yes, what are you graphing

OpenStudy (anonymous):

Viscosity of shugar disolved in vater

OpenStudy (owen3):

you're fitting a quadratic curve to the data?

OpenStudy (owen3):

the curve is \( y = ax^2 + bx + c \)

OpenStudy (anonymous):

PS its 3 in the morning here and im going insane

OpenStudy (owen3):

$$ y = -3.516995576918316x^2 + 0.18734459582847x -0.0144436993225714$$

OpenStudy (owen3):

Let's round, we don't need so many decimals. 4 decimal places should be sufficient $$ \large y = -3.517x^2 + 0.1873x -0.0144$$

OpenStudy (anonymous):

I just need to find an x with given y.... thats all

OpenStudy (owen3):

do you have the original data

OpenStudy (anonymous):

yes, but would you understand it?

OpenStudy (owen3):

if you tell me what is the independent variable, dependent variable

OpenStudy (owen3):

If I can see how you got that equation, I can solve for y.

OpenStudy (smile.89745):

http://mathforum.org/dr.math/

OpenStudy (mrnood):

here is a graphical solution - it doesn't match your estimate of 55 for a solution though

OpenStudy (mrnood):

It does confirm the ~ -180 value that @owen3 got

OpenStudy (anonymous):

but how can it be -180? look at my graph

ganeshie8 (ganeshie8):

\[x = \dfrac{a(y+1)}{b-cy}\] http://www.wolframalpha.com/input/?i=isolate+x,++y%3D%28b*x-a%29%2F%28a%2Bc*x%29

OpenStudy (mrnood):

@PhisicsStudent As far as I see your graph is not the graph of the equation you wrote. I used Desmos Graphing page to plot the equation you wrote, using the values of a,b &c you gave. The resulting graph is in my previous post - it is not a continuous curve like you drew

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