what is the volume, in cubic inches, of a rectangular prism with a height of 5 inches, a width of 15 inches, and a length of 2 i
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Answer:
5x² +19x +76 +310/(x-4)
Step-by-step explanation:
The process is straightforward. Find the quotient term, multiply it by the divisor and subtract from the dividend to get the new dividend. Repeat until the dividend is a constant (lower-degree than the divisor).
The tricky part with this one is realizing that there is no x-term in the original dividend, so that term needs to be added with a 0 coefficient. The rather large remainder is also unexpected, but that's the way this problem unfolds.
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Unlike numerical long division, polynomial long division is simplified by the fact that the quotient term is the ratio of the highest-degree terms of the dividend and divisor. Here, the first quotient term is (5x^3)/(x) = 5x^2.
The quadratic regression equation for the stream of water is {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=-4a
⇒(y-5)=-4a { as the Vertex of parabola is (6,5) }
⇒(y-5)=-4a()
subtituting (0,0) in the equation to get the value of a
⇒-5=-4a(36)
⇒ a=
equation of parabola⇒(y-5)=-4( )
Therefore,The quadratic regression equation for the stream of water is
Learn more about parabola here:
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