A road 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?
Answers
Answer:
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
Hope it is help you....
Answer:
C. 1.3
Step-by-step explanation:
Okay, so the edge options are,
A. 0.1
B. 0.8
C. 1.3
D. 1.6
Additionally, the lady above me copied and pasted her answer from a verified expert and it does not contain an answer because the person didn't give options. The correct answer would be C because if you take the equation and type it into a graph like Desmos. It will show the correct line, the top of the line is on 1.3 on the y-axis which makes C correct