Crunchy crunch cereal company has a cereal box that measures 8inches long, 2 1/2 inches wide and 11 1/2 inches tall. in order to make room for a prize in the box, the company creates a space in the box that measures 2 1/10 inches long, 1 1/2 inches wide and 3 1/3 inches tall. how many cubic inches of cereal is left in the box?

answer: 7270

step-by-step explanation:

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.