Answer:
(2, -5)
Step-by-step explanation:
Convert to vertex form:
3x^2 - 12x + 7
= 3(x^2 - 4x) + 7
Completing the square:
= 3[ (x - 2)^2 - 4)] + 7
= 3(x - 2)^2 - 12 + 7
= 3(x - 2)^2 - 5.
Comparing with the general form
a(x - b)^2 + c we see that the vertex is (b, c) = (2, -5).
Answer:
About 45.22
Step-by-step explanation:
Radius x 2 x π
Answer:
Size of |E n B| = 2
Size of |B| = 1
Step-by-step explanation:
<em>I'll assume both die are 6 sides</em>
Given
Blue die and Red Die
Required
Sizes of sets
- ![|E\ n\ B|](https://tex.z-dn.net/?f=%7CE%5C%20n%5C%20B%7C)
- ![|B|](https://tex.z-dn.net/?f=%7CB%7C)
The question stated the following;
B = Event that blue die comes up with 6
E = Event that both dice come even
So first; we'll list out the sample space of both events
![B = \{6\}](https://tex.z-dn.net/?f=B%20%3D%20%5C%7B6%5C%7D)
![E = \{2,4,6\}](https://tex.z-dn.net/?f=E%20%3D%20%5C%7B2%2C4%2C6%5C%7D)
Calculating the size of |E n B|
![|E n B| = \{2,4,6\}\ n\ \{6\}](https://tex.z-dn.net/?f=%7CE%20n%20B%7C%20%3D%20%5C%7B2%2C4%2C6%5C%7D%5C%20n%5C%20%5C%7B6%5C%7D)
![|E n B| = \{2,4,6\}](https://tex.z-dn.net/?f=%7CE%20n%20B%7C%20%3D%20%5C%7B2%2C4%2C6%5C%7D)
<em>The size = 3 because it contains 3 possible outcomes</em>
Calculating the size of |B|
![B = \{6\}](https://tex.z-dn.net/?f=B%20%3D%20%5C%7B6%5C%7D)
<em>The size = 1 because it contains 1 possible outcome</em>
9514 1404 393
Answer:
in order by function: 0.6, 8, 7/3, 2, 1/2
Step-by-step explanation:
The functions are given in the form ...
f(x) = a·b^x
The "b" value is the value immediately to the left of the exponent. (It's not rocket science; it's pattern matching.) Note that the minus sign in g(x) is part of 'a', not part of 'b'.
From the top-down, the functions listed on the left have the b-values shown above.
Answer:
no
Step-by-step explanation: