Logan is starting a running plan to train for a race. In the first week of his running plan, Logan will run 10 miles. The plan calls for Logan to increase his weekly milage by 4 miles every week. If Logan sticks to the plan, how many miles would he be expected to run during his 7th week of the training plan?

Step-by-step explanation:

34 miles by the 7th week.

You just add 4 more each week.

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.