Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:

Step-by-step explanation:
Given

Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:

Reorder

Using quadratic formula, we have:

Where

So, we have:




This gives:
or 
or 
or 
But time can not be negative.
So, we have:


<em>Hence, time to hit the ground is 5.0625 seconds</em>
Answer:
hay 10 billetes de 2000
hay 4 billetes de 5000
Step-by-step explanation:
Planteamos las siguientes ecuaciones...:
x= billetes de 2000
y= billetes de 5000
ecuaciones :
1) x+y = 14
2) 2000x + 5000y =40000
despejamos primera ecuacion y remplazamos en segunda :
1) x= 14-y
2) 2000(14-y) + 5000y = 40000
28000- 2000y+5000y = 40000
3000y= 40000 - 28000
y= 4
reemplazamos este valor en primera ecuacion:
x+y = 14
x+ 4= 14
x= 10
ahora reemplazamo valor de X y valor de Y
2000(10) + 5000(4) =40000
40000 =40000
hay 10 billetes de 2000
hay 4 billetes de 5000
Espero que esto te ayude
|x-4| <3
=>. x-4<3 or -(x-4)<3
=>. x-4<3 or x+4>3
=>. x<7 or x>1
So solution is x>1 & x<7. =x€(1,7)
Hope it helps...
Regards,
Leukonov/Olegion.
Answer:
x=3+√5 or x=3−√5
Step-by-step explanation: