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Ulleksa [173]
3 years ago
8

3, -6, 12, 4, 20, ? What is the missing term u

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

13

Step-by-step explanation:

Odd-numbered terms of the sequence appear to have first differences of 9, 8, 7, ...

Even-numbered terms of the sequence appear to have first differences of 10, 9, 8, ...

Thus the 6th term of the sequence will be 9 more than the 4th term of the sequence. It will be 13.

_____

In the absence of any clue as to the nature of the sequence, you can choose the next term(s) to be anything you like. A rule can always be made that will fit the term values you choose.

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Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
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The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

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f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

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This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

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