The director of a marching band asks the band members to line up in rows of four, but one is left over. Then she tries to line them up in rows of six, but three are left over. Finally, she tries to line them up in rows of seven, but four are left over. The band has fewer than $100$ members.

There are 81 band members.  :-)

Step-by-step explanation:

4 rows of 20 = 80 ... with one left over   = 80 + 1  (81)

6 rows of 13 = 78 ... with three left over = 78 + 3  (81)

7 rows of 11 = 77 ... with four left over   = 77 + 4  (81)

i need more info. are you looked to see there mph? how much they deliver? how far they go?

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.