Question

help with all please!!

Class Date Name UNTQuadratic Functions, Equations, and Relations Performance Task represented by the function f(s)--0.03s+2.4s-30, where s is the speed in miles per hour. miles per gallon for Kim's new car can be The gas mileage in 1. Write an equation for the model in vertex form. 2. What is the maximum gas mileage of Kim's car? At what speed will Kim maximize his gas mileage? A new attraction at a carnival launches a participant from a platfo into the air. The participant's objective is to ring a bell located 20 feet overhead. The distance d, in feet, from the platform to the bell is modeled by the function d(t) 16t -bt+20, where t is the time in seconds after leaving the platform, and b is the takeoff velocity from the platform. Kate theorizes that if the platform launches a participant with a takeoff velocity of 32 feet per second, the participant can ring the bell. 3. Find the zeros for the function using 32 feet per second as the takeoff rm velocity 4. Is Kate's theory valid? Explain. Jim sets a course in his fishing boat that can be modeled by the equation 4x2 +9 -36. Janice has her sailboat on a path that can be modeled by the equation x -2- A trawler is on a course by the equation 2x +y+3-0. 5. Is it possible for Jim's fishing boat to collide with the trawler? If not, modeled explain why. If so, what are the possible points of collision? 6. Is it possible for Janice's sailboat to collide with the trawler? If not, explain why. If so, what are the possible points of collision?

Answer 1

fcs) ー03 2 2.

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