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 
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Answer:
<h3>X = 142°</h3><h3>Y = 38° </h3>
<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em> AC is parallel to DE
angle 3y + 28 = angle X ( Vertically opposite angles are equal).
3y + 28 = X
X + Y = 180° ( supplementary angles).
3y - X = (-28)
Solving both the equation we get
multiply eq 1 with 3
3x + 3y = 540
-X + 3y = (-28)
subtracting
4x = 568
x = 142°
3y + 28 = 142
3y = 142 - 28
3y = 114
y = 38°
It’s really blurry.......
Dorothy can type 120 words per minute. Which can also be represented by
120 x 1 (minute)= 120
If you want to know how many words it takes her for 1.75 minutes, simply multiply 120 by 1.75.
120 x 1.75 (minutes)=210
Answer: 210 words
The factors of the given quadratic expression, 2x² - 4x - 16, are 2, (x +2), and (x -4)
<h3>Factoring a Quadratic expression </h3>
From the question, we are to determine the each of the factors of the given quadratic expression
The given quadratic expression is
2x² - 4x - 16
Factoring
2x² - 4x - 16
First, factor out 2
That is,
2(x² - 2x - 8)
Now, we will factor x² - 2x - 8
x² - 2x - 8
x² - 4x + 2x - 8
x(x - 4) +2(x -4)
(x +2)(x -4)
Thus,
2x² - 4x - 16 = 2(x +2)(x -4)
Hence, the factors of the given quadratic expression, 2x² - 4x - 16, are 2, (x +2), and (x -4)
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