Alocal high schools cheerleading squad is selling snow cones during lunch to raise money for a national cheerleading competition. paper cones are pre-filled with shaved ice and then filled with flavored syrup as customers orders are placed. the paper can contain no more than 535 cubic centimeters of shaved ice and syrup. if the paper cone is 8 centimeters deep, what is the largest width of the containers opening? use 3.14 to approximate pi. round your answer to the nearest whole unit.

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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.