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kirza4 [7]
3 years ago
14

Two ice skaters started on opposite ends of a 200-foot-long rink and then skated toward each

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0

Answer:

The proportion that can be used to find x is;

(200-x)/x = 7/6

Step-by-step explanation:

Now, we want to find the proportion which can be used to find x.

From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;

this means that the ratio of their speed is 7:6

Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.

Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;

Hence;

(200-x)/x = 7/6 or x/(200-x) = 6/7

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Step-by-step explanation:

There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.

The derivative is ...

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We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.

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The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.

The extrema are ...

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Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.

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