In a half hour, Fred is meeting his friends at the lake, 6 miles from his
house. At what average speed must he
ride his bike to get there on time?

12 mph

Step-by-step explanation:

from fred to the lake is 6 miles

the time he needs to get there is 30 minutes or .5 hours

speed = distance/time

6/.5 = 6*2 = 12

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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.