Answer:
30x - 18y + 24
Step-by-step explanation:
When the distributive property is in play, you multiply all the numbers in the parenthesis by the number that's right next to it. In this case, you're multiplying 6 to all of the numbers in the paranthesis (5x - 3y +4).
W=-3 if you need any other help just message me
Answer:4
Step-by-step explanation:
Let a denotes the no of odd ball selected and b denotes the no of even ball selected
then ![X=3 a+4 b](https://tex.z-dn.net/?f=X%3D3%20a%2B4%20b)
for ![a=0,b=3, X=12](https://tex.z-dn.net/?f=a%3D0%2Cb%3D3%2C%20X%3D12)
for ![a=1,b=2, X=11](https://tex.z-dn.net/?f=a%3D1%2Cb%3D2%2C%20X%3D11)
for ![a=2,b=1, X=10](https://tex.z-dn.net/?f=a%3D2%2Cb%3D1%2C%20X%3D10)
for ![a=3,b=0, X=9](https://tex.z-dn.net/?f=a%3D3%2Cb%3D0%2C%20X%3D9)
thus X can take 4 values i.e. 9,10,11 and 12
![P(X=9)\ i.e. 3\ odd\ balls\ and\ 0\ even\ balls=\frac{^{14}C_{3}}{^{28}C_3}=\frac{1}{9}](https://tex.z-dn.net/?f=P%28X%3D9%29%5C%20i.e.%203%5C%20odd%5C%20balls%5C%20and%5C%200%5C%20even%5C%20balls%3D%5Cfrac%7B%5E%7B14%7DC_%7B3%7D%7D%7B%5E%7B28%7DC_3%7D%3D%5Cfrac%7B1%7D%7B9%7D)
![P(X=10)\ i.e. 2\ odd\ balls\ and\ 1\ even\ balls=\frac{^{14}C_{2}\times ^{14}C_1}{^{28}C_3}=\frac{7}{18}](https://tex.z-dn.net/?f=P%28X%3D10%29%5C%20i.e.%202%5C%20odd%5C%20balls%5C%20and%5C%201%5C%20even%5C%20balls%3D%5Cfrac%7B%5E%7B14%7DC_%7B2%7D%5Ctimes%20%5E%7B14%7DC_1%7D%7B%5E%7B28%7DC_3%7D%3D%5Cfrac%7B7%7D%7B18%7D)
![P(X=11)\ i.e. 1\ odd\ balls\ and\ 2\ even\ balls=\frac{^{14}C_{1}\times ^{14}C_2}{^{28}C_3}=\frac{7}{18}](https://tex.z-dn.net/?f=P%28X%3D11%29%5C%20i.e.%201%5C%20odd%5C%20balls%5C%20and%5C%202%5C%20even%5C%20balls%3D%5Cfrac%7B%5E%7B14%7DC_%7B1%7D%5Ctimes%20%5E%7B14%7DC_2%7D%7B%5E%7B28%7DC_3%7D%3D%5Cfrac%7B7%7D%7B18%7D)
![P(X=12)\ i.e. 0\ odd\ balls\ and\ 3\ even\ balls=\frac{^{14}C_{3}}{^{28}C_3}=\frac{1}{9}](https://tex.z-dn.net/?f=P%28X%3D12%29%5C%20i.e.%200%5C%20odd%5C%20balls%5C%20and%5C%203%5C%20even%5C%20balls%3D%5Cfrac%7B%5E%7B14%7DC_%7B3%7D%7D%7B%5E%7B28%7DC_3%7D%3D%5Cfrac%7B1%7D%7B9%7D)
The correct answer would be a and c
Answer:
Step-by-step explanation:
x^2 - x - 35
This is prime
- cannot be factored