Find the mean, median mode, and range of the given data set. 7, 6, 13, 16, 15, 9
1 answer:
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We first find the shortest distance between the point (2, 0) and the curve 
Let the point on the curve for which the line making the shortest distance be (x, y), then
But,
Therefore,
For minimum d(d)/dx = 0
Therefore, shortest distance is
Since it costs 400 dollars per mile, 4.47 miles will cost 4.47 x 400 = $1,788.20
Let the point on the curve for which the line making the shortest distance be (x, y), then
But,
Therefore,
For minimum d(d)/dx = 0
Therefore, shortest distance is
Since it costs 400 dollars per mile, 4.47 miles will cost 4.47 x 400 = $1,788.20
The option formatting isn't very clear, anyway: given a number x, negative 3 times that number is -3x. If this has to be at least 57, it means that -3x must be greater than or equal to 57:
Dividing both sides by -3 solves the equation, but we have to switch the inequality sign because we're dividing by a negative number: