"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
1st urn....4 green balls, 6 blue balls.....10 total balls....probability of drawing a blue ball in urn 1 is : 6/10 reduces to 3/5
2nd urn...6 green balls, 2 blue balls....8 total balls...probability of drawing a blue ball in urn 2 is : 2/8 reduces to 1/4
probability both balls are blue : 3/5 * 1/4 = 3/20 <==
Answer:
i Think its 1
Step-by-step explanation: