The Equation for parabola is y=-1/486 x² +6 and the height of the arc 5 feet is: 5 461/486 feet.
<h3>
Equation for parabola</h3>
Using this equation to find the equation for parabola
y=a(x-54) (x+54)
y(0)=a(-54) (54)=6
-2916a=6
Divide both side by y6a
a=-2916/6
a=-486
Equation for parabola
y=-1/486 x² +6
Height of the arc 5 feet
When x=5
y=-25/486+6
y=2891/486
=5 461/486 feet
Therefore the Equation for parabola is y=-1/486 x² +6 and the height of the arc 5 feet is: 5 461/486 feet.
Learn more about Equation for parabola here:brainly.com/question/1538225
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Using it's definition, it is found that the function f(x) has a point of inflection at:
A. x = 8 only.
<h3>What are the points of inflection of a function?</h3>
- The critical points of a function are the <u>values of x</u> for which:
- Additionally, there has to be a change in the sign of
Researching the problem on the internet, it is found that:
- For 0 < x < 5, .
- For x = 5, is undefined.
- For 5 < x < 8, .
- For x = 8, .
- For 8 < x < 12, .
- For x = 12, .
- For 12 < x < 16, .
The two conditions, and a change in the signal of are only respected at x = 8, which is the lone inflection point.
You can learn more about points of inflection at brainly.com/question/10352137
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2 cups technically a lil more than that but it asked how many CUPS so