Set up the equation
![- 4x - 18 = 22](https://tex.z-dn.net/?f=%20-%204x%20-%2018%20%3D%2022)
Then you want to het the x variable by itself, by elimating 18. So, you add 18 to both sides
![- 4x = 40](https://tex.z-dn.net/?f=%20-%204x%20%3D%2040%20)
Then to get x by itself you divide by -4 from both sides
![x = - 10](https://tex.z-dn.net/?f=x%20%3D%20-%2010%20)
You are correct.
The point (19, -4) is in quadrant 4. I hoped this helped!
Answer:
<u>Jamie's mistake</u>: The last term
and not
. Jamie multiply the signs incorrectly.
<u>Advice to avoid this mistake in the future</u>: Jamie should remember that when two negative numbers are multiplied, the result is a positive number.
Step-by-step explanation:
The correct procedure is the one shown below:
![=(3x-4)(2x-8)\\\\=(3x)(2x)+(3x)(-8)+(-4)(2x)+(-4)(-8)\\\\=6x^2-24x-8x+32\\\\=6x^2-32x+32](https://tex.z-dn.net/?f=%3D%283x-4%29%282x-8%29%5C%5C%5C%5C%3D%283x%29%282x%29%2B%283x%29%28-8%29%2B%28-4%29%282x%29%2B%28-4%29%28-8%29%5C%5C%5C%5C%3D6x%5E2-24x-8x%2B32%5C%5C%5C%5C%3D6x%5E2-32x%2B32)
You can identify that the last term is actually
and not
, so Jamie multiply the signs incorrectly.
To avoid that mistake in the future, Jamie must remember the mulitplication of signs:
![(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-](https://tex.z-dn.net/?f=%28%2B%29%28%2B%29%3D%2B%5C%5C%28-%29%28-%29%3D%2B%5C%5C%28-%29%28%2B%29%3D-%5C%5C%28%2B%29%28-%29%3D-)
So when two negative numbers are multiplied, the result is a positive number.
Answer:
C)3
Step-by-step explanation:
divide 3/4 by 1/4 and get 3
Expand
x²+6x-27=-27
add 27 both sides
x²+6x=0
factor
x(x+6)=0
set to zero
x=0
x+6=0
x=-6
x=0 or -6
answer is 0 since -6 is not listed