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Mathematics 9 Online
OpenStudy (howard-wolowitz):

Check my answers: I"ll medal

OpenStudy (binkeyboy03):

yes you are correct!!!!!!!!!! good job!

OpenStudy (binkeyboy03):

AMAZING WORK!!!

OpenStudy (howard-wolowitz):

@pitamar

OpenStudy (binkeyboy03):

dude awsome work

OpenStudy (howard-wolowitz):

I think you just saying that so I"ll give you a medal

OpenStudy (binkeyboy03):

no im not

OpenStudy (binkeyboy03):

im being completely honest

OpenStudy (howard-wolowitz):

@Michele_Laino

OpenStudy (michele_laino):

answer 3) is correct!

OpenStudy (michele_laino):

question #2 why you selected option 1?

OpenStudy (binkeyboy03):

michele nice catch on #2 didnt see that

OpenStudy (howard-wolowitz):

that what i thought the answer was

OpenStudy (michele_laino):

question #1 we have to apply the formulas to your data, so I'm not able to say if your answer is correct! Nevertheless, if you have applied such formulas, I think that your answer is correct!

OpenStudy (michele_laino):

question #4 the answer is correct!

OpenStudy (michele_laino):

question #5 I think that your answer is correct, since we can write this: \(\Large y=A \cdot B^x\) so, if we take the logarithm of both sides, we get: \(\Large \log y=\log A+x \log B\)

OpenStudy (howard-wolowitz):

so the only wrong one is #2 you think

OpenStudy (michele_laino):

yes!

OpenStudy (michele_laino):

sincerely, I don't know, please write the steps you used

OpenStudy (michele_laino):

please correct me, if I'm wrong: if \(x\) is transformed into \(x^2\), then we have: \((1,5),(9,16),(25,35),(49,67),(81,110)\)

OpenStudy (howard-wolowitz):

ok so this: The wording of this problem is problematic (which of course is not the fault of the student). When I saw the word "linear," I attempted to find the coefficients a and b for the linear function y = ax + b that would fit the data. (In other words, if I were to take the first data point, (1,5), and substitute x=1 and y=5 into y =ax+b, the equation would have to be true, as it would for each and every one of the other data points.) That failed. So, I decided to use a quadratic (instead of linear) model: y = ax^2 + bx + c. Substituting the first point, (1,5), results in 5 = a*1^2 + b*1 + c. Substituting two more points, one at a time, results in two additional LINEAR equations. These three linear equations can be solved simultaneously to obtain values for a, b and c. I ended up with a = 1, b = 3/2, and c = 5/2. Try substituting these three coefficients into the general form y=a*x^2 + bx + c and verifying for yourself that substitution of any or all of the given points results in an equation that is true.

OpenStudy (michele_laino):

ok! Nevertheless we have a \(quadratic\; law\) between \(x\) and \(y\) and not linear

OpenStudy (michele_laino):

we can write this formula: \[\Large y = {\left( {x + \frac{3}{4}} \right)^2} + \frac{{31}}{{16}}\]

OpenStudy (michele_laino):

so I think you are correct!! Nevertheless we have to make a traslation first, namely: \[\Large x \to x + \frac{3}{4}\]

OpenStudy (howard-wolowitz):

then im wrong on only two: and two is C you think

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