Substitute t=3 and t=5 to determine if the two expressions are equivalent. 4(t+3) 4t+12 which statements are true? check all that apply. the value of both expressions when t=3 is 32. the two expressions are not equivalent. the value of both expressions when t=5 is 15. the value of both expressions when t=5 is 23. the two expressions are equivalent. the value of both expressions when t=3 is 24.

The correct statements are that, both the equations are equivalent when the value of t is taken 3 and The value of both the equations is 24 when t is taken as 3.

So, the correct options that match the statement above are E and F.

Hence, the correct options are E and F that the equations are of both the values when t is 3 is obtained as 24. And both the expressions are equivalent when t is taken as 3.

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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.