Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 given ⇒ 3(x − 4) + 5x = 9x − 36
step 1 ⇒ 3x − 12 + 5x = 9x − 36
step 2 ⇒ 3x + 5x − 12 = 9x − 36
step 3 ⇒ 8x − 12 = 9x − 36
step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36
step 5 ⇒ 0 − 12 = x − 36
step 6 ⇒ −12 = x − 36
step 7 ⇒ −12 + 36 = x − 36 + 36
step 8 ⇒ 24 = x + 0 step 9 ⇒ 24 = x
which property yields step 1? a) distributive property b) multiplicative identity c) multiplication property of equality d) commutative property of multiplication

A) Distributive Property.

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac . Here we have 3(x - 4) = 3x - 12.

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.