A dentist is making packages of toothbrushes and and 18 tubes of toothpaste. Each package will have
toothpaste for his patients. He has 12 toothbrushes
the same number of toothbrushes and the same
number of tubes of toothpaste.
a. What is the greatest number of packages that the
dentist can make using all the toothbrushes and
tubes of toothpaste?
How many packages can he make

it will be a cylinder. with a diameter of 8 and 4 single pieces high

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.