Algrebra

Please advise on the following:
From 1993 to 2003 the cumulative number N of AIDS cases in thousands can be approximated by,
where corresponds to the year 1993.
N = -2 x2 + 76x + 430, where x = 0 corresponds to.
1) Show how well the equation approximates the data. 2) Rewrite the equation with the right side completely factored.
3)What is the importance onhow this applies to society.

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asked by Raj
  1. 2. N = -2x^2 + 76x + 430.
    A*C = -2*430 = -860 = -10*86,
    -2x^2 + 86x-10x + 430,
    Group the 4 terms into 2 factorable pairs:

    (-2x^2+86x) + (-10x+430),
    -2x(x-43) + -10(x-43) = 0,
    N = (x-43)(-2x-10).

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    posted by Henry

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