SOLUTION: The stabilization ratio (births/deaths) for south and Central America can be molded by formula y=-0.0012x^2+0.074x+2.69 where y is the number of births divided by the number of de

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Question 123336: The stabilization ratio (births/deaths) for south and Central America can be molded by formula y=-0.0012x^2+0.074x+2.69 where y is the number of births divided by the number of deaths in the year 1950+x. Use the formula to find the yea in which the stabilization ratio was at its maximum.
Answer by josmiceli(6796) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find the value of x at the axis of symmetry.
whatever y is will be the maximum, but I only need x
to answer the problem
y+=+-.0012x%5E2+%2B+.074x+%2B+2.69
When the equation is in the form y+=+ax+%2B+bx+%2B+c, the x value at
axis of symmetry is x+=+%28-b%29+%2F+%282a%29
a+=+-.0012
b+=+.074
%28-b%29+%2F+%282a%29+=+-.074+%2F+2%2A%28-.0012%29
%28-b%29+%2F+%282a%29+=+30.833
The year in which the stabilization ratio is maximum is
1950+%2B+30.833 or late in the year 1980. answer