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.
9514 1404 393
Answer:
(b) 28
Step-by-step explanation:
The total of the 3 numbers will be 3×15 = 45. Then the third number is ...
45 -7 -10 = 28
Answer:
y =
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m =
, hence
y =
x + c ← is the partial equation
to find c substitute (- 2, 11) into the partial equation
11 = -
+ c ⇒ c = 
y =
x +
← equation of line
95/5=19 so 19 children wanted to play basketball
Answer:
m=0
Step-by-step explanation:
The slope is m=0 and the Y intercept should be b= -4 .