Clare spent a total of 25 minutes at the track. she spent 5 minutes stretching and walked 4 laps around the track. if she walked at a constant pace, how long did it take her to walk each lap? what was her pace in inches per second?

She spended 25 minutes at the track:

5 minutes stretching.

and we know that she did 4 laps at a constant rate, we want to know how much time took each lap.

the amount of time that she speend walking is the total amount of time in the track minus the amount of time stretching:

25 min - 5 min  = 20 min

then, the amount of time that each lap needs is the total time divided the number of laps:

t = 20min/4 = 5min

each lap needs 5minutes,

and the pace in inches per second is equal to the lenght of the track divided the time:

suppose that the lenght is 100 meters = 39.37*100 in = 3937 inches

Lenght = 3937 in

time = 5 min = 5*60s = 300s

speed = (3937/300)in/s = 13.12 inches per second

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.

sorry man i accidentally pressed yes my bad

step-by-step explanation: