There are two intersecting parabolas. The first parabola has x-intercepts at X = 3 and X = 5 and passing through the point (2,-1). The second parabola has x-intercepts at X = 1 and X = 4 and, y-intercept at y = 2. Determine the EXACT x-coordinates of the points of intersection of the two parabolas. Sketch both parabolas on a graph clearly showing x-intercepts, vertex and points of intersection. (Use substitution method and quadratic formula)

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step-by-step explanation:

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm