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mojhsa [17]
1 year ago
15

John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at speed of 42mph.

On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip?
Pls help im not good with these problems Q_Q
Mathematics
1 answer:
elixir [45]1 year ago
5 0

Answer:

47.25 mph

Step-by-step explanation:

Represent the total distance traveled as 2x. Average speed= total distance/total time

When going at 42 mph, the time would be x/42 and when going at 54 mph the time would be x/54 to travel x distance. Add x/42 and x/54 together to get 16x/378. Then divide 2x by 16x/378 to get 47.25 mph. Also this is RSM innit?

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2 years ago
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Solve the recurrence relation: hn = 5hn−1 − 6hn−2 − 4hn−3 + 8hn−4 with initial values h0 = 0, h1 = 1, h2 = 1, and h3 = 2 using (
musickatia [10]
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\displaystyle\sum_{n\ge4}h_nx^n=5\sum_{n\ge4}h_{n-1}x^n-6\sum_{n\ge4}h_{n-2}x^n-4\sum_{n\ge4}h_{n-3}x^n+8\sum_{n\ge4}h_{n-4}x^n
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G(x)-x-x^2-2x^3=5x(G(x)-x-x^2)-6x^2(G(x)-x)-4x^3G(x)+8x^4G(x)
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From here you would write each term as a power series (easy enough, since they're all geometric or derived from a geometric series), combine the series into one, and the solution to the recurrence will be the coefficient of x^n, ideally matching the solution found in part (a).
3 0
1 year ago
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