Answer:
x = -1
Step-by-step explanation:
to find axis of symmetry, use the following equation:
x = -b/2a
in this problem, a = 3, b = 6, c = -12
x = -6/2(3)
x = -6/6
x = -1
2+3/5x-1-1/4x
2+3x-1/5-1-x/5
2+3/5x-1-x/5
1+3/5x-x/5
1+2/5x
Answer:
None
Step-by-step explanation:
Let's attempt to solve the equation, and see what happens:
-2(3x-1) = -6x -1
-6x +2 = -6x - 1 (expanding the brackets).
2 = -1 (cancelling out the -6x term from each side).
So, since 2 = -1 is not true, this means there are no solutions to this equation.
<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>