The graph below shows two polynomial functions, f(x) and g(x):
2 answers:
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Answer:
The probability of not selecting a red marble, P(R)' = 10/19
Step-by-step explanation:
The probability of an event occurring is equal to the number of ways the required event occurs divided by the number of possible outcomes
The number of ways of an event not occurring is 1 less the probability of the event occurring
The number of green marbles in the bag = 6
The number of red marbles in the bag = 9
The number of blue marbles in the bag = 4
The sum of the marbles in the bag, n = 6 + 9 + 4 = 19
The number of ways of selecting a red marble = 9 ways
The probability of selecting a red marble = 9 ways/19 marbles = 9/19
The probability of not selecting a red marble = 1 - 9/19 = 10/19 =
The probability of not selecting a red marble P(R)' = 10/19
The roots of the given polynomial function is {-4, -2, -3 + 2i, -3 - 2i}.
<h3>How to get the roots of the polynomial?</h3>Here we have the polynomial function:
So we just need to find the roots of the two quadratic functions, to do that, we use Bhaskara's formula.
For the first one, we have:
So the two solutions are:
x = (-6 - 2)/2 = -4
x = (-6 + 2)/2 = -2
For the second quadratic we have:
So the two solutions are:
x = -3 + 2i
x = -3 - 2i
Finally, the list is:
{-4, -2, -3 + 2i, -3 - 2i}
If you want to learn more about polynomials:
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