SOLUTION: y=ax^2+bx+c (0,29.8): 0a+0b+1=29.9 (2,29.9): 4a+2b+1=29.9 (4,30.1): 16a+4b+1=30.1 Find the values of a, b, and c such that y=ax^2+bx+c models this data. (Make into one equati

Algebra ->  Linear-equations -> SOLUTION: y=ax^2+bx+c (0,29.8): 0a+0b+1=29.9 (2,29.9): 4a+2b+1=29.9 (4,30.1): 16a+4b+1=30.1 Find the values of a, b, and c such that y=ax^2+bx+c models this data. (Make into one equati      Log On


   



Question 722174: y=ax^2+bx+c
(0,29.8): 0a+0b+1=29.9
(2,29.9): 4a+2b+1=29.9
(4,30.1): 16a+4b+1=30.1
Find the values of a, b, and c such that y=ax^2+bx+c models this data. (Make into one equation).

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Where did you get the "1" in each of your equations?

When you get the three equations in a, b, and c written correctly, solve the 3X3 system. Hint: Since the coefficients on a and b are zero in the first equation, you can determine the value of c directly and the system degenerates to a more easily solved 2X2 system.

John

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