The annual number of cases can be modeled using a quadratic equation y = 14x2 – 9x + 1. the variable x represents the number of years after 2008. the variable y represents the number of pertussis cases in year x. according to the equation, in what year can the county be expected to have 2,619 cases of pertussis?

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer: on kudzu, being female and being green are independent events.

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