Hello! For this sequence, you are decreasing. In this case, A and C are definitely out, because they are positive, not negative. The formula for sequence is a1 + (n -1)d, where a1 = first term and d = common differnce, The first term is 12 and the common difference is -6. "n" is the order of the sequence and n = 30. 30 - 1 is 29. 29 * -6 is -174. Now, we add 12 to that total and when we add, we subtract the numbers, and then place the negative sign back in. 174 - 12 = 162. Plug in the negative symbol to get -162. There. -162 is the 30th term in the sequence. The answer is D: -162.
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Answer:
Below
Step-by-step explanation:
● y -(-3) = (1/4) (x-9)
Replace 1/4 by 0.25 to make it easier
● y + 3 = 0.25(x-9)
● y + 3 = 0.25x - 2.25
Add 3 to both sides
● y +3-3 = 0.25x -2.25-3
● y = 0.25x -5.25
To the coordinates of a point from this line replace x by a value.
The easiest one is 0.
● y = 0.25×0 -5.25
● y = 5.25
5.25 is 21/4
So the coordinates are (0, 21/4)
Answer:
C. f(g(x)) produces the greater output.
Step-by-step explanation:
ƒ(x) = 2x - 6
g(x) = 5x + 1
f(g(x)} = 2(5x + 1) - 6 = 10x + 2 - 6 =10x - 4
g(f(x)) = 5(2x- 6) + 1 = 10x - 30 + 1 = 10x - 29
f(g(x)) - g(f(x)) = 10x - 4 - (10x -29) = 10x - 4 - 10x + 29 = 25
f(g(x)) is always 25 units greater than g(f(x)), no matter the value of x.
Thus f(g(x)) produces the greater output.