Colby adds 1 and 2 over 3 cups of flour to his mixing bowl and then realizes he put in too much. He take 1 over 4 cup of flour b
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Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(−4x)+2xy−8y
Factor out the greatest common factor (GCF) from each group.
x(x−4)+2y(x−4)
Factor the polynomial by factoring out the greatest common factor, x−4.
(x−4)(x+2y)
I believe this is correct. Good luck.
Answer:
<em>-5x + 12 = –12x – 12</em>
<em>-5x + 12 = 5x + 12</em>
<em>-5x + 12 = 5x – 5</em>
Step-by-step explanation:
<u>First degree equations</u>
A first degree equation has the form
ax + b = 0
There are some special cases where the equation can have one, infinitely many or no solution
If , the equation has exactly one solution
If a=0 and b=0 the equation has infinitely many solutions, because it doesn't matter the value of x, it will always be true that 0=0
If a=0 and the equation has no solution, because it will be equivalent to b=0 and we are saying it's not true. No matter what x is, it's a false statement.
We have been given some equations, we only need to put them in standard form
-5x + 12 = –12x – 12
Rearranging
7x + 24 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = 5x + 12
Rearranging
-10x + 0 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = 5x – 5
Rearranging
-10x + 17 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = -5x – 12
Rearranging
0x + 24 = 0
It has no solution, no matter what the value of x is, it's impossible that 24=0
Answer: These are the equations with exactly one solution
-5x + 12 = –12x – 12
-5x + 12 = 5x + 12
-5x + 12 = 5x – 5
