A fountain on a lake sprays water in a parabolic arch modeled by the equation y = -0.3x2 + 3x. A beam of light modeled by the equation -2x + 5.5y = 19.5 passes through the fountain to create a rainbow effect. If the beam cuts the water spray at points A and B, such that point B is at a higher level than point A, what distance from the ground level is point A?
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a) 1.66 units b) 4.15 units c) 5.44 units d) 6.14 units e) 7.13 units
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\(-2x + 5.5y = 19.5\)
Substitute the top equation into the bottom one
\[-2x + 5.5(-0.3x^2+3x) = 19.5\]
Make one side equal to 0 and combine like terms so you can use the quadratic formula to solve for x
I don't get it
where are you stuck?
I solved the equation you gave me and the answer isn't one of my options
You gotta show me what you did so I see if you went wrong somewhere
And not for nothing, but it's not the equation I gave you. It's the equation typed in the problem statement.