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Graph doesn't look very cubic to me though which makes me thing I did it wrong.
what's the exact question?
as in what is the exact wording of the question you're trying to answer. positive rate of change → function is increasing negative rate of change → function is decreasing
Is it possible to post an image of the original question? That's the fastest way to get help!
You're giving a lot of information, but there's no context
So I can do cubic regression or do l*w*h where (12-x) represents the sides and (x) represents the height of the boxes... whichever one you guys are able to help me with.
Kinda wanted to know how to do it by hand, but maybe that isn't good to know as a pre-algebra student.
Hints: "where (12-x) represents the sides and (x) represents the height of the box)" means: So if the height (x)=1, then the sides are (12-1)=11, or 1*11*11, V=121 If height is 2, sides are 12-2=10, volume = 2*10*10=200 in general, if the height equals x, the volume is x(12-x)(12-x), which is evidently a cubic. Do you agree with the above calculations?
Yeah that makes sense.
Yes, a cubic is a polynomial, which is any expression in the form of "the sum of positive integer powers of a variable, each multiplied by a constant".
I do not know how you got y=-12x^2 + 49.6x + 67.2 but the volume itself is already a cubic (third degree polynomial), and will not need to have a cubic regression, because it is exactly a cubic polynomial.
But your table does not correspond to the given constraints of x=height, (12-x)=sides, so it cannot be used to "generate" your regression cubic.
But your table does not correspond to the given constraints of x=height, (12-x)=sides, so it cannot be used to "generate" your regression cubic that represent the results of the problem.
But if it's wrong then I will just go with the way you showed me.
In your table, I do not understand what you meant by "size of corner cut ". I use x=height, as per instructions.
size of corner cut meants (remember I used grid paper to make cubes) I had to cut off one square on each corner. Let me draw it for you okay. I'm really sorry for confusing you. I did a very bad job explaining everything.
Give me a few minutes. please.
So that means the height. |dw:1440381788262:dw|
right but in the first drawing it's 10 by 10
So you need to make a table: |dw:1440381900195:dw|
Can you please look at my table and see if you agree with it?
for that table you draw for 3 would be 12-3 = 9 3*9*9 or 243
Yeah that makes sense to me.
So was my equation wrong then? I can't get an equation from your table you drew right?
So use this new table and try to fit a cubic and see what you get. "Our" volume is x(x-2)^2=x^3-24x^2+144x. Your "regression" cubic should give exactly the same expression.
Remember to fit a cubic you need at least 4 points, and preferably more if you're doing regression.
wait what do I put in for x?
Sorry, I was afk. a bunch of numbers, like 1,2,3,4,5,6, or 2,4,6,8,10, ... If everything is calculated correctly, they should all give the same cubic polynomial.
The numbers don't have to be evenly spaced like my examples, they could be x=1,2,5,10,21 if you want.
Oops, cannot be greater than 12! So forget the 21!
I graphed this on my paper I did my y axis by 10's and my x axis 12345 but skipped every two lines
not sure if that's relevant
Trick to graphing by hand is to get the smallest and largest y to start. So start with the table. |dw:1440383506458:dw| so make a y-scale high enough for 256, and x from 1 to 10.
okay thanks for your help. Really appreciate you sitting here and going over this with me :)))
No problem! :)