Answer: The answer is B.
Step-by-step explanation:
James Madison High School
Answer: (x+3)^2+(y-4)^2=49
The answer is b :)
Step-by-step explanation:
We know that the parabola opens downwards because it has a negative leading coefficient.
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Why the parabola opens downwards?</h3>
For any polynomial, the leading coefficient is the coefficient in the term where is the large exponent of the polynomial.
The sign of that coefficient will determine the end behavior of the graph of the polynomial.
For the case of the parabola, a positive leading coefficient means that the parabola opens upwards, while a negative leading coefficient will mean that the parabola opens downwards.
Now, if you look at our parabola:
g(x) = -(x + 1)^2 - 3
You can see that there is a negative sign, thus when we expand the parenthesis, we will end up with a negative leading coefficient:
g(x) = -x^2 - 2x + 1 - 3 = -x^2 -2x - 2
So we know that the parabola opens downwards.
If you want to learn more about parabolas:
brainly.com/question/4061870
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Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability that the team goes to the championship.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- His team has a p = 0.5 probability of winning each game.
- The team plays 3 games, hence n = 3.
The team moves to the championship if they win all three games, hence the probability is P(X = 3), given as follows:
0.125 = 12.5% probability that the team goes to the championship.
More can be learned about the binomial distribution at brainly.com/question/24863377
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