Civil engineer wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. he assumes that each car is 14 feet long, travels at speed s, and follows the car in front of it at a safe distance for that speed. he finds that the number n of cars that can pass a given spot per minute is modeled by the function
n=(89s)/(14+14(s/17)^2))

at what speed can the greatest number of cars travel safely on that road? assume that the maximum possible speed of a car is less than 300.

Question and answers are in the attached picture. you so much in advance.

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

You receive 15% of the profit from a car wash how much money do you receive from a profit of 300