PLEASE ANSWER ASAP!!!! 3x+x-3/2=0
1 answer:
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now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.
BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.
as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.
now, we could just use L'Hopital rule to check on that.
notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
Answer: y = -3(x + )² +
,
,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² +
y - 1 + -3() = -3(x² +
+
)
↑ ↓ ↑
=
y - 1 - = -3(x +
)²
y - -
= -3(x +
)²
y - = -3(x +
)²
y = -3(x + )² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex = ,
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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