Answer: 1 out of 6
Step-by-step explanation: A number cube has 6 numbers on it. Only one of them is a two. If she were using two number cubes then she would have 2 out of 12 chances of landing on a number 2.
Answer:
80/81
Step-by-step explanation:
hope this helps!
Answer:
y=9
Step-by-step explanation:
Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: ![x = \dfrac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B-b%7D%7B2a%7D)
![x = \dfrac{-(-4)}{2(1)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B-%28-4%29%7D%7B2%281%29%7D)
![= \dfrac{4}{2}](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B4%7D%7B2%7D)
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE