At a farm, animals are fed bales of hay and buckets of grain. each bale of hay is in the shape a rectangular prism. the base has side lengths 2 feet and 3 feet, and the height is 5 feet. each bucket of grain is a cylinder with a diameter of 3 feet. the height of the bucket is 5 feet, the same as the height of the bale.

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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step-by-step explanation: