This is for my daughter who is in JHS. I don't get this so please tell me how you got the answer so I can teach her. Thanks.
A hot air balloon goes on a short trip into the air. The relationship between the balloon's height and the time is described by the equation.
y = - x 2 + 6x
Where the x is the time in seconds sicne the balloon took off, and y is the balloon's height in meters.
2006-10-30 10:28:38 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Underneath there is a chart
Time In Seconds (x)
0
1
2
3
4
5
6
Height in meters (y)
0
1
2
3
4
5
6
2006-10-30 10:33:07 · update #1
simply plug in the time to x, say its 3 seconds then
y=-3^2 + 6(3) =9
s
2006-11-03 05:03:26 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Well, you didn't ask any question. I guess you want to find the baloon's maximum height. If that's the case, the maximum height occurs at x = (-b)/(2a) = (-6)/(2*(-1)) = 3 s and it's value is Hmax = --3^2 + 6*3 = -9 + 18 = 9 m.
To fill in your table and draw a chart, all you have to do is compute the right y for each x. So, just plug each x in the equation and find the corresponding value of y.
2006-10-30 18:47:57 · answer #2 · answered by Steiner 7 · 1⤊ 1⤋
Replace x with the given number and solve for y.
For example, if x = 3, then we have
y = -(3)^2 + 6(3)
y = -9 + 18
y = 9
If x = 5, then we have
y = -(5)^2 + 6(5)
y = -25 + 30
y = 5
2006-10-30 18:30:12 · answer #3 · answered by MsMath 7 · 1⤊ 1⤋
simply plug in the time to x
say its 3 seconds
y=-3^2 + 6(3)
y=9
2006-10-30 18:32:36 · answer #4 · answered by The Dude 3 · 0⤊ 1⤋
time height
1 7
2 16
3 27
4 40
5 55
6 72
to get time for each height
x^2+6x-y=0
x=(-6+/-sqrt(36+4y))/2
since x must be positive
x=sqrt(36+4y)/2-3
x=sqrt(9+y)-3
height time
1 sqrt(10)-3=.162
2 sqrt(11)-3=..317
3 sqrt(12)-3=.464
4 sqrt(13)-3=.606
5 sqrt(14)-3=.742
6 sqrt(15)-3=.873
2006-10-30 19:34:52 · answer #5 · answered by yupchagee 7 · 0⤊ 1⤋