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Salsk061 [2.6K]
2 years ago
10

A train travels a total of 38 km at a constant speed of 90 km/h.

Mathematics
1 answer:
Zarrin [17]2 years ago
5 0

Answer:

25 minutes and 33 seconds

Step-by-step explanation:

please brainiest

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How many times does 5 go into 45?
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Hi, am I supposed to find the stationary points of the f(x) and g(x) then use the distance formula to solve for the final answer
nikdorinn [45]

9514 1404 393

Answer:

  maximum difference is 38 at x = -3

Step-by-step explanation:

This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.

__

Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.

  h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2

Then the derivative is ...

  h'(x) = 3x² +4x -15 = (x +3)(3x -5)

This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.

The maximum difference between f(x) and g(x) is 38 at x = -3.

4 0
2 years ago
Find the whole quantity if 5 percent of it is 500​
liq [111]

Answer:

10,000

Step-by-step explanation:

500/0.05= 10,000

You take the amount you are given divided by the decimal form of the percentage you are given to find the answer.  It's a reverse from the way you find 5% of 10,000.

0.05=5%

Check your work: 10,000*5%= 500

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2 years ago
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