The function f(x) = -3/4x^2 +9/2x models, in feet, the shape of a doorway arch on a historic building. How high is the
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Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is
Therefore, the equations of Nancy and Juan are and
respectively.