Answer:
Step-by-step explanation:
Lets look at the first pick. There are 9 items that can be choosen, one that cannot. So the chance to not pick the one is 9/10.
All the other attempts are the same and have 9/10 chance. (as replacement happens)
Now these events are independent of eachother so the combined chance is
(9/10)^10
For the formula:
Number of items: n
One pick is: (n-1)/n
N pick together is [(n-1)/n]^n
Answer:
-x^2 - 20x -4 = 0
Step-by-step explanation:
I assume you meant (x-8)(2x+3) = (3x-5)(x+4).
Perform the two indicated multiplications and then combine like terms:
2x^2 + 3x - 16x - 24 = 3x^2 + 12x - 5x - 20
Combine the x terms on each side:
2x^2 - 13x - 24 = 3x^2 + 7x - 20
Subtract 3x^2 from both sides:
-x^2 - 13x - 24 = 7x - 20
Subtract 7x from both sides:
-x^2 - 20x - 24 = -20
Add 20 to both sides:
-x^2 - 20x -4 = 0 This is the desired quadratic equation.
Answer:
The given system has INFINITE NUMBER OF SOLUTIONS.
Step-by-step explanation:
Here, the given system of equation is given as:
2 x - 4 y = 12 ... (1)
- x + 2 y = -6 ...... (2)
Now, to use the ELIMINATION METHOD we either need to cancel out x coefficients or the y coefficient.
Now, to cancel out the x- coefficient in both the equations:
Multiply equation (2) with 2 and add with (1), we get:
2 x - 2x + 4 y - 4 y = 12 - 12
or, 0 = 0
Hence, the given system has INFINITE NUMBER OF SOLUTIONS.
