I'm not 100% sure if I'm doing it the right way, but I think the answer is the factorial of the number of letters divided by the factorials of the number of elements of each kind of element (in this case, the same letters)
9!/1!4!1!2!1!
= 9 · 8 · 7 · 6 · 5 · 4!/4!2!
= 9 · 8 · 7 · 6 · 5/2
= 9 · 4 · 7 · 6 · 5
= 63 · 120
= 7,560 permutations
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11
1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)
1)x<17
2)x>-5
so we get -5 < x < 17
the answer: (-5; 17)
Answer:
C
Step-by-step explanation:
The area of the wall hanging shown in blue is the area of the square 8 by 8 minus the area of the cutout. Notice the cutout is a triangle? To find the total area, subtract the area of the triangle from the square.
The square has the sides 8 by 8 and its area is found as A = 8*8 = 64.
The triangle measures 4 inches by 4 inches. The area is found as A = 1/2*4*4 = 8.
Subtract the two areas.
64 - 8 = 56
You can see that you add 1x to each expression in the sequence, which means that the first expression will be 2x, and the second one 3x. You also add 2 to each x, which means that the first expression will be 1, and the second one 2.
2x+1, 3x+3, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13....
