For the first letter we have 24 choices. Since letters can't repeat the second letter has 23 choices (24 minus 1 that was used for the first slot) and the third has 22 (24 minus one for the first slot and one for the second slot).
The total number of combinations is thus: 24 x 23 x 22= 12,144
Answer:
x/x+3
Step-by-step explanation:
first off, we start by factorizing.
we start with the numerator taking x out making it x (x-3) / x^2 - 9
then we factorize the denominator a bit more...making it x (x-3) / (x-3) (x+3)
as you can tell there is a (x-3) on both sides. so we can cross them out.
x/x+3 is left. try it yourself again so you can understand other questions like this! I hope I could help!
these two bars | | mean <u>absolute value</u>
here's how to find x
| x - 7| = 2
first apply the absolute rule
x - 7 = 2 x - 7 = -2
in both equations add 7 on both sides
x - 7 + 7 = 2 + 7 x - 7 + 7 = -2 + 7
then simplify the expressions
x = 9 x = 5
now combine these two solutions to get your answer
x = 9 or x = 5
hopefully my explanation helps
Answer:
E
Step-by-step explanation:
5 is to ST as ST is to (5+7)
5/ST = ST/12 (ST)^2 = 60 ST = sqrt (60) = 2 sqrt 15