Aroad is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. a cross-section of the road can be represented on a graph using the function f(x) = -1/200(x – 16)(x + 16), where x represents the distance from the center of the road, in feet. rounded to the nearest tenth, what is the maximum height of the road, in feet?

Remark.

The problem is a bit indistinct. Where exactly are the two edges of the road? I'm going to say that they are the x intercepts, but that may not be true. Certainly it does not have to be true at all.

Graph.

A graph has been made for you. The maximum is marked for you. It is an approximation The actual height can be more accurately found.

Height

y = (-1/200)(x - 16)(x + 16)

y = (-1/200)*(x^2 - 256)

The maximum height for this graph only is when x = 0.Other graphs require completing the square.

y = (-1/200) * (-256)

y = 1.28 exactly. I thought the graph might be rounding the answer. It is not.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c