The gas tank of a certain car contains 13 gal when the driver of the car begins a trip. For each mile driven by the driver, the amount of gas in the tank decreases by 0.025 gal. a. Write a linear function for the number of gallons of gas in the tank in terms of the number of miles driven.

b. Use your equation to find the number of gallons in the tank after 180 miles are driven.

a. write a linear function for the number of gallons of gas in the tank in terms of the number of miles driven.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

no idea

step-by-step explanation: