Provide an appropriate response.A trucker handed in a ticket at a toll booth showing that in 2 hours he had covered 230 miles on a toll road with speed limit 65 mph. The trucker was cited for speeding. Why?

What will be an ideal response?


As the trucker's average speed was 115 mph, the Mean Value Theorem implies that the trucker must have been going that speed at least once during the trip.

Mathematics

You might also like to view...

For what values of x does the series converge absolutely?

A. -7 < x < -5 B. x = -6 C. x = ±6 D. x = 6

Mathematics

Substitute to find the value of the expression.The area of a rectangle of length ? and width w is given by the formula A = ?w. Ann's backyard is rectangular with a length of 29.6 yards and a width of 28.5 yards. Find the area of Ann's backyard.

A. 843.60 yd2 B. 58.1 yd C. 843.60 yd D. 58.1 yd2

Mathematics

Provide an appropriate response. A function is considered to be an even function if f(-x) = f(x). That is, the function is even if the value of a function for a given number is the same as the value of the function for the opposite of the given number. A function is considered to be an odd function if f(-x) = f(x). That is, the function is odd if the value of the function for a given number is the opposite of the value of the function for the opposite of the given number. For example, if for a certain function f(2) = 5 and f(-2) = 5, then it is even; and if for a certain function f(7) = -2 and f(-7) = 2, then it is odd.Given the function f(x) = x2 + 1, is the function even, odd, or neither? Evaluate f(3), f(-3), f(1), and f(-1) to make this determination.

A. odd B. even C. neither

Mathematics

Find the product and simplify. Assume all variables represent nonnegative real numbers. ? 

A. 19x B. 361x C. 19x2 D. 361x2

Mathematics