which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer. (−1, −6) (−3, 3) (11
2 answers:
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<h2>Answer:</h2>
We need to determine the equation of both lines first.
- Line 1: <em>y = -2x + 3</em>
- Line 2: <em>y = -1/3x - 2</em>
Now that we know the equations, we can set up a system of equations for this graph where both equations are in standard form.
Line 1:
Line 2:
<em>Final answer:</em>
Answer:
<h2>There are 3,921,225 ways to select the winners.</h2>Step-by-step explanation:
This problem is about combinations with no repetitions, because the same person can't win four times. It's a combinaction because the order of winning doesn't really matter.
Combinations without repetitions are defined as
Where and
.
Replacing values, we have
Therefore, there are 3,921,225 ways to select the winners.
Additionally, as you can imagine, the probability of winning is extremely low, it would be 3,921,225 to 1.