Im confused on how you typed your problem.
Answer:
For finding the inflection points you'll have to put the first derivative equal to zero and solve for x. After you've done that, you can plug in the x you've just found into the original function and find also the y, so you'll find the ordered pair (x,y) of the inflection point(s).
Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:
x^2 + bx + (b/2)^2 = c + (b/2)^2
Now let’s solve the equation above using this method.
Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2
Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2
Step 3: x^2 - 12x + 36 = -6 + 36
Step 4: x^2 - 12x + 36 = 30
Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2
Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2
Step 6: (x - 6)^2 = 30
Step 7: x - 6 = √30
Step 8: x = 6 ±√30
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
Answer:
i think c
Step-by-step explanation:
