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:
17/50
Step-by-step explanation:
P(red or purple) = number of red or purple / total
There are 7 red rings and 10 purple rings
= (7+10) / 50
= 17/50
The value of x from the given equation is 5/3
<h3>How to determine the value</h3>
Since the three points are collinear to U, they are on a straight line which equals 0
Then we have,
UM + UD = MD
5x+30 + 10x+20 = 3x+80
Collect like terms
5x + 10x + 50 = 3x + 80
15x - 3x = 80 - 50
12x = 30
x = 30/12 = 15/6 = 5/3
Thus, the value of x from the given equation is 5/3
Learn more about collinear points here:
brainly.com/question/18559402
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What are you asking? If it’s true or false it’s TRUE?
Answer:
15/2
Step-by-step explanation:
when dividing by fractions, we "flip and multiply"-- therefore:
3 ÷ 2\5 = 3 x 5/2
3 x 5/2 = 15/2