anonymous
  • anonymous
PLEASE HELP DDD: (vertex) x=-b/2a Use the graphing technology of your choice to graph the above equation and find the vertex value. Set rounding to 5 places. Save a copy of this graph and paste or attach it to this Worksheet.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I also have to figure out How long the water from your fountain will remain in the air. The fountain I chose is King Fahd fountain.
anonymous
  • anonymous
The coordinates are x=1, y=-4
anonymous
  • anonymous
would help to have the equation

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anonymous
  • anonymous
Oh, sorry. y = -16x2 + 341.7 + 0
anonymous
  • anonymous
a =-16 b =341.73 c =0
anonymous
  • anonymous
ok so it looks like you are in good shape
anonymous
  • anonymous
Well that's good XD
anonymous
  • anonymous
\[\large \frac{-b}{2a}=\frac{341.7}{32}\]
anonymous
  • anonymous
Is this for the height of the fountain or for the graph?
anonymous
  • anonymous
where did the 341.7 come from?
anonymous
  • anonymous
If speed is given in miles per hour, follow the 2 step conversion process, showing your work below, to arrive at the number of feet per second. Step 1: Multiply the miles per hour given by the number of feet in a mile. Step 2: Divide the above feet per hour by the number of seconds in an hour. Indicate the feet per second (velocity) of your fountain. Feet per second (v) ≈ 341.7
anonymous
  • anonymous
is that the velocity of the water?
anonymous
  • anonymous
Yeah.
anonymous
  • anonymous
ok so then the maximum height will presumably occur when \(t=\frac{341.7}{32}=10.678125\)
anonymous
  • anonymous
I have 261 meters for the maximum height
anonymous
  • anonymous
You're probably right with what you have though
anonymous
  • anonymous
the height is given by \(h(t)=-16t^2+341.7t \) and so to find the max you need to compute \[h(10.678125)=-16(10.67815)^2+3412.7\times 10.67815\]
anonymous
  • anonymous
ohh alright.
anonymous
  • anonymous
i had a typo there
anonymous
  • anonymous
Oh haha XD whoopsy
anonymous
  • anonymous
\[h(10.678125)=-16(10.67815)^2+341.7\times 10.67815\]
anonymous
  • anonymous
Okay!
anonymous
  • anonymous
So should I try to solve?
anonymous
  • anonymous
i get 1824 feet which is too large according to wiki it is 1024 feet
anonymous
  • anonymous
Yeah I got that from Wiki :P
anonymous
  • anonymous
but you did do the conversion correctly, i just checked it
anonymous
  • anonymous
4000 cubic meters of water remain in the air aparently, but I don't think that helps us any.
anonymous
  • anonymous
Yay!
anonymous
  • anonymous
no water will have other forces acting on it, it is not like a ball being thrown up at that speed
anonymous
  • anonymous
also it says "can reach a speed of" so i wouldn't fret too much
anonymous
  • anonymous
Alright!
anonymous
  • anonymous
here is a nice picture, looks like the water stays in the air a little more than 22 seconds you can solve exactly in two steps http://www.wolframalpha.com/input/?i=-16%28x%29^2%2B341.7*x+domain+0+..+22
anonymous
  • anonymous
i mean a little more than 21 seconds
anonymous
  • anonymous
king fahad??!!
anonymous
  • anonymous
Yeah!
anonymous
  • anonymous
Hello?
anonymous
  • anonymous
yeah?
anonymous
  • anonymous
So is that the graph I need?
anonymous
  • anonymous
yes, that is a good graph i think
anonymous
  • anonymous
Yay! Thank you so much :D
anonymous
  • anonymous
yw

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