Answer:
20 possible arrangements
Step-by-step explanation:
A: Alice
B: Bob
C: Cindy
X: other student
All the possible arrangements are:
When Bob is in the first place
B A C X X
B A X C X
B A X X C
B X A C X
B X A X C
B X X A C
6 possible arrangements
When Bob is in the second place (notice that neither Alice nor Cindy can be before Bob)
X B A C X
X B A X C
X B X A C
3 possible arrangements
When Bob is in the third place
X X B A C
Only 1 possible arrangement.
Total arrangements when Bob is before Cindy: 10
If Cindy is before Bob the same situations are repeated, given another 10 arrangements. So, the total line up in which Alice is somewhere between Bob and Cindy are 20.
The vertex is in the form (x, y).
The x value of the vertex is found using x = -b/2a.
After finding the x values, plug it into the given inequality to find the y value of the vertex.
Then express the vertex as a point in the form (x, y).
<span>What is 0.003045 in scientific notation
=</span> 3.045 x 10^-3
Answer:
Below in bold.
Step-by-step explanation:
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
y - (-1)) = -2/5(x - -10)
y + 1 = -2/5(x + 10)
y + 1 = -2/5x - 4
y = -2/5x - 5.
In standard form this is:
2x + 5y = -25.
2(2)(-3)(4) - 3(2)(-3)
4(-3)(4) - 6(-3)
-12(4) - (-18)
-48 + 18
-30
Whenever there are two minus signs next to each other, your answer should become a positive. If there is one minus sign and one addition sign, it will stay a negative sign. If there are two addition signs, the addition sign will stay the same.
(-) (-) = +
(-) (+) = -
(+) (-) = -
(+) (+) = +
