**WILL MARK BRAINLIEST!!!** At a train station, freight trains depart at a rate of 2 trains every 30 minutes and passenger train
s depart at a rate of 1 train every 90 minutes. At this rate, how many total trains will depart from the station in a 12-hour period? Show your work.
1 answer:
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<u>Answer:</u>
A curve is given by y=(x-a)√(x-b) for x≥b. The gradient of the curve at A is 1.
<u>Solution:</u>
We need to show that the gradient of the curve at A is 1
Here given that ,
--- equation 1
Also, according to question at point A (b+1,0)
So curve at point A will, put the value of x and y
0=b+1-c --- equation 2
According to multiple rule of Differentiation,
so, we get
By putting value of point A and putting value of eq 2 we get
Hence proved that the gradient of the curve at A is 1.
Answer:
A function to represent the height of the ball in terms of its distance from the player's hands is
Step-by-step explanation:
General equation of parabola in vertex form
y represents the height
x represents horizontal distance
(h,k) is the coordinates of vertex of parabola
We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.
So,(h,k)=(18,12)
Substitute the value in equation
---1
The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0
So, y = 6
So,
6=324a+12
-6=324a
Substitute the value in 1
So,
Hence a function to represent the height of the ball in terms of its distance from the player's hands is