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Viktor [21]
3 years ago
10

7x+12=x<6 solve to find x

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0
3x is the correct answerrrrrrr
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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 eq
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Y=-.3x^2+3x 

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-2x+5.5y=19.5

5.5y=19.5+2x

y=(19.5+2x)/5.5

When the light touches the parabola y=y so

(19.5+2x)/5.5=-.3x^2+3x  multiply both sides by 5.5

19.5+2x=-1.65x^2+16.5x  add 1.65x^2 to both sides

1.65x^2+2x+19.5=16.5x  subtract 16.5x from both sides

1.65x^2-14.5x+19.5=0

Using the quadratic equation for simplicity...

x=(14.5±√81.55)/3.3  we only need the lower point, or the smaller value of x

x≈1.657423  since:

y=(19.5+2x)/5.5

y≈4.15 units


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