The first person can be any one of 6.
For each of those . . .
The second person can be any one of the remaining 5.
For each of those . . .
The third person can be any one of the remaining 4.
Total number of ways to pick 3 people out of 6 = (6 x 5 x 4) = 120 ways.
BUT . . .
For each 3-person team, there are (3 x 2 x 1) = 6 ways to pick
the same three people.
In the 120 ways to pick 3 people, you'll find each different
group of 3 people picked 6 times, in a different order.
The number of different 3-person teams is
120 / 6 = 20 teams .
Solve for x over the real numbers:
x^2 - 4 x = 5
Subtract 5 from both sides:
x^2 - 4 x - 5 = 0
x = (4 ± sqrt((-4)^2 - 4 (-5)))/2 = (4 ± sqrt(16 + 20))/2 = (4 ± sqrt(36))/2:
x = (4 + sqrt(36))/2 or x = (4 - sqrt(36))/2
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (4 + 6)/2 or x = (4 - 6)/2
(4 + 6)/2 = 10/2 = 5:
x = 5 or x = (4 - 6)/2
(4 - 6)/2 = -2/2 = -1:
Answer: x = 5 or x = -1
Answer:
1/2 pound
Step-by-step explanation:
<u> </u><u> </u><u>8</u><u> </u><u>pots</u><u> </u><u> </u> / <u>8</u><u> </u> equal to <u> </u><u> </u><u> </u><u> </u><u>1 pot</u><u>. </u><u> </u><u> </u><u> </u><u> </u>
4 lbs / 8 1/2 lbs
Answer:
Part A: So the solution for 4 = 2x-1 is -2. Why they're intersecting is because <em>x</em> is -0.5 in both cases. 2/4, as we already know, is 0.5. Since, this -2/4, we can just make 0.5 negative, so -0.5. -0.5 times 4 = -2, so x is -0.5. For y = 2x-1, multiply -0.5 by 2, which would get you -1. Then after that subtract 1, for -2.
Part B:
Well, notice how none of the entries for y = 4x and y = 2x-1 match. That would mean the answer wouldn't be an integer. (Attachment is the table)
Part C:
First, graph both y = 4x and y = 2x-1. After that, find where the two equations' y-coordinates are the same (So, on a graph, where they intersect.). The y-coordinate in common is your answer.