Anna starts playing marbles with 5 small marbles which are worth 25 cents each and 8 large marbles which are worth $k$ cents each. She trades 3 large marbles for 1 large marble and 6 small marbles. Finally, she gives Henry 4 small marbles. In cents, what is the value of the marbles she has left, in terms of $k$

europa2433

europa2433

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.

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