![\frac{ {x}^{2} - 7x + 12}{ {x}^{2} - x - 12 } \\ = \frac{ {x}^{2} - 4x - 3x + 12 }{ {x}^{2} - 4x + 3x - 12 } \\ = \frac{x(x - 4) - 3(x - 4)}{x(x - 4) + 3(x - 4)} \\ = \frac{(x - 3)(x - 4)}{(x + 3)(x - 4)} \\ = \frac{x - 3}{x + 3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%20-%207x%20%2B%2012%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%20x%20-%2012%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20-%204x%20-%203x%20%2B%2012%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%204x%20%2B%203x%20-%2012%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%28x%20-%204%29%20-%203%28x%20-%204%29%7D%7Bx%28x%20-%204%29%20%2B%203%28x%20-%204%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%28x%20-%203%29%28x%20-%204%29%7D%7B%28x%20%2B%203%29%28x%20-%204%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%20-%203%7D%7Bx%20%2B%203%7D%20)
x² - x - 12 ≠ 0
x² - 4x + 3x - 12 ≠ 0
x (x - 4) + 3 (x - 4) ≠ 0
(x + 3)(x - 4) ≠ 0
x ≠ -3 or x ≠ 4
(B)
Answer:
(6, 2)
Step-by-step explanation:
Answer:
3 or 3 and 1/2
Step-by-step explanation:
2 toppings per pizza
2, 4, 6 and the half pizza with one topping
Answer:
It is the graph of y=2x translated 4 units downward
Step-by-step explanation:
Given
to ![y' = 2x - 4](https://tex.z-dn.net/?f=y%27%20%3D%202x%20-%204)
Required
We have:
![y = 2x](https://tex.z-dn.net/?f=y%20%3D%202x)
Subtract 4 from both sides [In other words, shift downward by 4 units]
![y - 4 = 2x - 4](https://tex.z-dn.net/?f=y%20-%204%20%3D%202x%20-%204)
This implies that:
![y' = y -4](https://tex.z-dn.net/?f=y%27%20%3D%20y%20-4)
Substitute ![y = 2x](https://tex.z-dn.net/?f=y%20%3D%202x)
![y' = 2x -4](https://tex.z-dn.net/?f=y%27%20%3D%202x%20-4)
Answer:
m<BAC = 60°
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.
m<ACD = m<A + m<B
130° = m<A + 70°
m<A = 60°
m<BAC = 60°