Mrs. larson made 12 pillows from 16 yards of the same fabrics. how much fabric was used to make each pillow? between what two whole numbers does your answer lie

The answer is given by :

[ The amount of material ]  / [The  number of pillows made ]  =   16 / 12  = 4 /3 = ( 1 + 1/3 ) yds per pillow

So the answer lies between the integers 1 and 2

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.