9x²- 25
3x(3x) = 9x²
3x(5) = 15x
-5(3x) = -15x
-5(5) = -25
9x² + 15x - 15x - 25
9x² - 25 is your answer
hope this helps
The correct answer is b), the probability of B occurring given A has occurred.
Answer:
![x = -20 ; y =-5](https://tex.z-dn.net/?f=x%20%3D%20-20%20%3B%20y%20%3D-5)
Step-by-step explanation:
Eqn. 1 ----> 4y = x
Eqn. 2 ----> 5x-10y = -50
(Simplifying eqn.2 further)
![=>5(x-2y)=-50](https://tex.z-dn.net/?f=%3D%3E5%28x-2y%29%3D-50)
![=>x-2y=\frac{-50}{5} =-10](https://tex.z-dn.net/?f=%3D%3Ex-2y%3D%5Cfrac%7B-50%7D%7B5%7D%20%3D-10)
(Substituting the value of x from eqn. 1)
![=>4y-2y=-10](https://tex.z-dn.net/?f=%3D%3E4y-2y%3D-10)
![=>2y=-10](https://tex.z-dn.net/?f=%3D%3E2y%3D-10)
![=>y =\frac{-10}{2} =-5](https://tex.z-dn.net/?f=%3D%3Ey%20%3D%5Cfrac%7B-10%7D%7B2%7D%20%3D-5)
Now, substituting the value of y in eqn. 1 ,
![x = 4*(-5)=-20](https://tex.z-dn.net/?f=x%20%3D%204%2A%28-5%29%3D-20)
![:\implies \sf 6x +5 = 4x +5](https://tex.z-dn.net/?f=%3A%5Cimplies%20%5Csf%20%206x%20%2B5%20%3D%204x%20%2B5%20)
![: \implies \sf 6x +5 -4x = 5](https://tex.z-dn.net/?f=%3A%20%5Cimplies%20%5Csf%20%206x%20%2B5%20-4x%20%3D%205)
![:\implies \sf 2x = 5-5](https://tex.z-dn.net/?f=%3A%5Cimplies%20%5Csf%20%202x%20%3D%205-5%20)
![:\implies \sf 2x = 0](https://tex.z-dn.net/?f=%3A%5Cimplies%20%5Csf%20%202x%20%3D%200)
![:\implies \sf x = 0](https://tex.z-dn.net/?f=%3A%5Cimplies%20%5Csf%20%20x%20%3D%200%20)
Seems like "6x+5=4x+5" has only one solution that's 0.
Range
Because it has the biggest difference between the two sets (14 in set 1 and 57 in set 2) so the outlier (the value 63 in set 2) affected it the most