8x3 - 8x + 2x2 - 2
8x3 + 2x2 - 8x - 2
Answer:
True
Step-by-step explanation:
That expression is called the "Quadratic formula" and basically the solution to any second degree equation can be find by using the quadratic formula.
Attached you can find the procedure to get to the quadratic formula from the general equation of a second degree polynomial.
Answer: (x+5)(x-5)
Step-by-step explanation:
f(x)=X²-25 = (x+5)(x-5)
<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula.
The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get:
7! / (5!*2!) = 7*6 / 2 = 21
21 subsets can be created</span>
This kind of problems are solved using Bernoulli's distribution. Everytime you have a win/lose scenario, and you know the probability
of winning, and you want
successes over
trials, you have the following probability:

You want the probability of having at least three successes, i.e. you are interested in the cases k=3 and k=4. The corresponding probabilities are


So, the total probability is 