Answer:
D.
Step-by-step explanation:
First, you multiply 18 1/4 with 10 1/2 and you get 191 5/8. Then you multiply 191 5/8 with 12 3/4 and you get D. 2443 7/32
K=2.35. You are correct.
Have a nice day! :)
Step-by-step explanation:
As far as I understand, they can use all 26 letters (alphabet) and all 10 digits (0, 1, ..., 9), and the password looks like this:
letter-letter-letter-letter-letter-letter-number-number (6 letters, 2 numbers).
▪︎ They can reuse the letters, so they can choose the 1st letter out of 26 possible letters, then they still can choose the 2nd letter out of 26 (it's ok if they have both A's for example, they can reuse them) and so on. So each time they can choose one letter out of 26. Thus, it's 26*26*26*26*26*26.
▪︎ The same thing with numbers. Each time they can choose one number out of 10, so it's 10*10.
▪︎ Therefore, the answer is 26*26*26*26*26*26*10*10 = 30,891,577,600. That's almost 31 billion passwords.
Answer:
x = 6
Step-by-step explanation:
Start off by reducing this equation: divide all three terms by 4. This yields:
x^2 - 12x + 36 = 0
This equation has the form (x - h)^2, the square of a binomial.
x^2 - 12x + 36 = 0, written as the square of the binomail x - 6, comes out to:
(x - 6)^2 = 0. This equation has a repeated real root: x = 6
Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form