parabolic path that can be reprsented by the function y=-0.1x^2 +2.9x, where x represents the horizontal distance and y represents the vertical distance of the football. As the ball is rising, a Louisanna lineman jumps in a linear path that can be represented by the equation y=-x+10 and blocks the kick... Graphically determine the height, to the nearest tenth of a meter, at which the lineman blocks the ball?

3 answers

graphically? Draw the graphs, where do they intersect?
I graphed your functions using Wolfram and they don't intersect at a negative x and a value of showing which would show a negative height.

check your equations, or else the question is bogus

http://www.wolframalpha.com/input/?i=plot+y%3D-0.1x%5E2+%2B2.9x%2C+y+%3D+-x%2B10
I meant to say:
".. they intersect at a negative x and a value of x which would result in a negative height."