18. A middle school with 375 students has 125 students in the eighth grade. Irene says that the eighth-grade class makes up of the school. Yolanda says that the eighth-grade class makes up of the school. Fernando says that the eighth-grade class makes up of the school.
A. Convert each student’s decimal into a fraction.

B. Which student’s decimal is correct?

C. Which student’s decimal represents the population of the rest of the middle school instead of the eighth-grade class?

a. is correct

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.