Here is the work for that problem
Answer:
always true
Step-by-step explanation:
Given
2(x + 3) = 5x + 6 - 3x ← distribute left side
2x + 6 = 2x + 6
Since both sides are equal then any real value of x is a solution.
Thus the equation is always true
Answer:
Step-by-step explanation:
Key to this method is remembering that

So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.
6/2 = 3, so add 

So, c=9
Similarly, for the other two,

You don't really have to worry about the sign, since squaring will always make it positive

Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table
m =
=
=
= 5
The line crosses the y- intercept at (0, - 2 ) , then
y = 5x - 2 → C
70/9
7 is equivalent 63/9, and then you add 63 and 7 to get 70/9