The first differences are 8, 14, 20.
The second differences are 6.
Half of 6 is 3, so the first term of the sequence is 3n^2.
If you subtract 3n^2 from the sequence you get 0,-1,-2,-3 which has the nth term of -n + 1.
Therefore your final answer will be 3n^2 - n + 1
3x>-10-5. 3x>-15. x>-15/3. x>-5.
Answer:
Period is 2π
Horizontal shift = 0
Step-by-step explanation:
We know that 
and as 
, so, we can write 
Therefore, the if 
then (Answer)
Now, the period of 
is 2π, hence the period of 
is also 2π. (Answer)
Again. 
, hence, the horizontal shift of is 0. (Answer)
Answer: the length of the rectangle is 37ft
the width of the rectangle is 6 ft
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the given rectangle is 86 feet. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43 - - - - - - - - - - - -1
Its length is 7 more than five times its width.. This means that
L = 5W + 7
Substituting L = 5W + 7 into equation 1, it becomes
5W + 7 + W = 43
6W + 7 = 43
6W = 43 - 7
6W = 36
W = 36/6
W = 6
L = 5W + 7 = 5 × 6 + 7
L = 37
