So remember that the <u>degree of the polynomial will indicate how many solutions there are, real or complex.</u> Since the degree of the polynomial is 2, this means that there is a maximum of 2 real solutions in this equation.
Next, we are going to apply the difference of squares rule to this polynomial, which is 
. In this case:
Now, we are going to apply the Zero Product Property, which states that if a × b = 0, this means that either a or b = 0 or a and b = 0. In this case, a = x + 3 and b = x - 3. Solve each as such:
<u>In short, there are 2 real solutions: x = 3 and x = -3.</u>
Answer: 412
Step-by-step explanation:
We need to calculate how many different groups of 2 volunteers come out of the 17 volunteers in the Eastern division
C¹⁷₂ = 17!/ 2! (17-2)! ⇒17*16*15!/ 2! * 15! ⇒ C¹⁷₂ = 17*16/2
C¹⁷₂ = 136
And the same criteria is valid for Western division volunteers
C²⁴₂ = 24!/ 2! *(24-2)! ⇒24*23*22! / 2!*22! ⇒ C²⁴₂ = 24*23/2
C²⁴₂ = 276
And the sum of these two groups will be the total ways the officers can be selected
C = 276 + 136 = 412
Answer:
The final answer is 2/15 or 0.133
Step-by-step explanation:
The US States that start with an "N" are:
- Nebraska
- Nevada
- New Hampshire
- New Jersey
- New Mexico
- New York
- North Carolina
- North Dakota
The probability of selecting a state that starts with an N is 8/50
The probability of rolling at least a two is 5/6.
If we multiply the two probabilities together, we get 2/15.
