Complete the following table by performing the following sequence of operations on the original number: Original Number Result of Sequence of Operations 4 6 8 10 Multiply the number by 4 Add 12 to the product Divide the sum by 2 Subtract 6 from the quotient a. 7, 12, 17, 20 b. 8, 12, 16, 20 c. 14, 18, 22, 26 d. 4, 6, 8, 10

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step-by-step explanation:

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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.