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borishaifa [10]
3 years ago
14

Make a table for the equation x+y=10 include x values from 0-10

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

Step-by-step explanation:

x 0   1  2  3  4  5  6  7  8  9 10

y 10 9  8  7  6  5  4  3  2  1  0

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suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordin
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The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x {parabola}

     

Given that the water stream produced by fountain is parabola

Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)

according to symmetry the third point on the parabola is (12,0)

General equation for a parabola⇒ Y=-4aX^{2}

⇒(y-5)=-4a(x-6)^{2}    { as the Vertex of parabola is (6,5) }

⇒(y-5)=-4a(x^{2} +36-12x)

subtituting (0,0) in the equation to get the value of a

⇒-5=-4a(36)

⇒ a=\frac{-5}{144}                      

equation of parabola⇒(y-5)=-4( \frac{5}{144})(x-6)^{2}

Therefore,The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x

Learn more about parabola here:

brainly.com/question/21685473

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