Challenge  A cell phone plan costs $22.90 per month for 500 minutes of talk time. It costs an additional $0.04 per minute for each minute over 500 minutes. To get e-mail access, it costs 20% of the price for 500 minutes of talk time. Your bill, which includes e-mail, is the same each month for 5 months. The total cost for all 5 months is $155.00. Write and solve an equation to find the number of minutes of talk time you use each month. Let m represent the number of minutes over 500 minutes each month. Which equation represents the given situation?
A.
155.00=5(0.04m+22.90+0.20(22.90)) B.
155.00=5(m+22.90+0.80(22.90))
C.
155.00=5(m+22.90)
D.
155.00=5(0.04m+22.90)
how many minuets of talk time each month ?

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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.

the battle of gettysburg is considered the "high water mark" of the confederacy because it marked the greatest advance of the confederate forces against the union.