Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.
25%, 0.3, 2/5
25% = .25
2/5 = .4
Answer:
the answer is a your welcome
The graph shown is decreasing.
The function which can represent the height, y according to the horizontal distance, x is; Choice A; y = –3/4x + 36.
Which function can represent the height, y, according to the horizontal distance x, from the top of the stairs?
According to the task content; The railing will begin at a height of 36 inches and follow the slant of the stairs. On this note, it follows that the y-intercept of the function is 36.
Additionally, since the railings decreases 9 inches for every 12 horizontal inches, it follows that the slope, m = -9/12 = -3/4.
On this note, the required function is; A.y = –3/4x + 36
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