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.

c. (3,2,6) is the answer.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: