We haven n! = (n-1)! x n and (n+1)! = n! x (n + 1);
Then, (n!)^2 = n! x n! = n! x (n-1)! x n;
And (n+1)!(n-1)! = n! x (n + 1) x (n-1)!;
Finally, [n! x (n-1)! x n] / [n! x (n + 1) x (n-1)!] = (n+1)/n;
Answer:
90
Step-by-step explanation:
3/1=3
30x3=90
Answer:
a) No.
b) Yes.
Step-by-step explanation:
a) It's not proportional. Although the graph represents a straight line, it does not pass through the origin (0,0).
b) It is proportional. It is a straight line that passes through the origin.
Answer:
x + 4y = 4
4y = 4 - x
multiply both sides by 1/4
y = 1/4( 4- x)
y = 1- 1/4x
Answer:
B. 3 + 5i
Step-by-step explanation:
-2i + (9 - 3i) - (6 - 10i) =
= - 2i + 9 - 3i - 6 + 10i
= 5i + 3
= 3 + 5i