Given the movement of Dolphin has been modeled by the function:
h(t)=-16t^2+26t
the time taken for Dolphin to reach 5 feet will be:
5=-16t^2+26t
writing the above in quadratic form ax^2+bx+c=0 we get:
16t^2-26t+5=0
solving the quadratic equation using quadratic formula we obtain:
t=13/16+/-√89/16
t=0.22 sec or 1.40 sec
(-1,8) is the correct answer I’m pretty sure
For this case we propose a system of equations:
x: Let the variable representing the number of children in the concert
y: Let the variable representing the number of adults at the concert
According to the assistance we have:
![x = 3y](https://tex.z-dn.net/?f=x%20%3D%203y)
According to the cost we have:
![3x + 7y = 6000](https://tex.z-dn.net/?f=3x%20%2B%207y%20%3D%206000)
Substituting the first in the second equation we have:
![3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375](https://tex.z-dn.net/?f=3%20%283y%29%20%2B%207y%20%3D%206000%5C%5C9y%20%2B%207y%20%3D%206000%5C%5C16y%20%3D%206000%5C%5Cy%20%3D%20%5Cfrac%20%7B6000%7D%20%7B16%7D%5C%5Cy%20%3D%20375)
Thus, the concert was 375 adults.
On the other hand we have:
![x = 3 (375) = 1125](https://tex.z-dn.net/?f=x%20%3D%203%20%28375%29%20%3D%201125)
Thus, the concert was 1125 children.
In total they were:
people
ANswer:
The concert was 1500 people
X is the number of movies for the cost of the plan to be the same.
4.25x=36+3.5x
4.25x-3.5=36
0.75x=36
x=36/0.75
x=48