6 units because the x values are the same but the difference of the y values is equal to 6 when on a graph.
This is the order you need to use to solve this problem: PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
So you start with P and make your way down to S
(2x + 3)(x - 6) - 2x² + 3x + 30 First multiply (2x + 3)(x - 6) (distribute)
(2x)x - (2x)6 + (3)x - (3)6 = 2x² - 12x + 3x - 18 = 2x² - 9x - 18
(2x²- 9x - 18) - 2x² + 3x + 30 Simplify by combining like terms
-6x + 12
Answer:
ℝ ℝ ℍ
"0:35 ━❍──────── -5:32, ↻ ⊲ Ⅱ ⊳ ↺
VOLUME: ▁▂▃▄▅▆▇ 999%
Step-by-step explanation:
Answer
Burger meal = $8 and Hot dog meal = $6
Step-by-step explanation:
Let's use "x" to represent burger meals and "y" to represent hot dog meals.
Garcia family:
3x + 4y = $48
Baker family:
6x + 2y = $60
We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".
3x + 4y = $48
6x + 2y = $60
Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":
-2 (3x + 4y = $48) ...our new equation would be....
-6x - 8y = -$96
Now to add our two families' equations together...
-6x - 8y = -$96
+
6x + 2y = $60
=
- 6y = -$36
Divide both sides by "-6" to get "y" by itself.
y = $6
We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...
3x + 4(6) = $48
3x + 24 = $48
We want to get our x by itself. First, we can subtract 24 from each side.
3x = $24
Then we will divided both sides by 3 to get x alone.
x = $8
To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:
3(8) + 4(6) = $48
24 + 24 = $48
and...
6(8) + 2(6) = $60
48 + 12 = $60
