You are 330 miles from home and you are driving toward home at an average of 55 mph. write an equation to represent the situation and find the domain and range of the function.

For this case, the first thing we must do is define variables:

x: number of hours

y: number of miles traveled

The function that models the problem is:

The domain of the function is found for the moment when the number of miles equals zero:

Therefore, the domain of the function is:

Dom: [0, 6]

The range of the function goes from 330 miles which is the furthest distance from the house to 0 miles.

We have then:

Range: [0, 330]

An equation to represent the situation and the domain and range of the function are:

Dom: [0, 6]

Range: [0, 330]

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.

i'm not really sure how to answer that

step-by-step explanation: