Which expressions are equivalent to
ln x + 2 ln 5 + ln 1?
check all that apply.
a. 2 ln 5x
b. ln (x + 26)
c. ln 25x + ln 1
d. ln 25x

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

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.