The ball will hit the ground at 2 seconds.
Step-by-step explanation:
Given that,
The path of the ball = h(x)=−2x2+1x+6
Here,
x is the time while h is the height of ball.
When the ball will hit the ground, the height will become zero. Therefore,
h(x)=−2x2+1x+6
0 =−2x2+1x+6
or
2x2 -1x - 6 = 0
This is a quadratic equation, hence by applying quadratic equation formula:

here,
a = 2
b = -1
c = -6
Putting these values in formula, we get




x = 2, -3/2
As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.
Answer:
Step-by-step explanation:
x decreases w/o bound, so x becomes a very large -ve no.
f(x)=5^(x-1) becomes 5^(large -ve no.) which will be almost zero
x increases w/o bound, so x becomes a very large +ve no.
f(x)=5^(x-1) becomes 5^(large +ve no.) which will keep increasing w/o bound
if u provide wat the choices are from ur Q in comments, i will pick the right one 4 u
Answer:
Kayla sold more lemonade.
Step-by-step explanation
All you do to solve this problem is subtract 23 from 114.
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4
3x + 3 = -2x + 2 - 4
3x + 3 = -2x - 2
Add the -2x to both sides
5x + 3 = -2
Subtract the 3 to both sides
5x = -5
Divide both sides by 5
x = -1
Answer:
Step-by-step explanation:
=8x(cube)- 27 ÷ 4x(square) + 6x + 9
= 2x (3-2) + 6x - 3
= 2x + 6x - 3
= 6x(square) -3