Which algebraic expression is equivalent to the expression below?

6(3x + 4) + 5(12 - x)
A.
13x + 36
B.
23x + 84
C.
13x - 84
D.
13x + 84

So the right answer is of option D .

Look at the attached picture

Hope it will help you....

-pragya~~~

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.