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svetlana [45]
3 years ago
14

The ordered pair (0,0)(1,4)(2,16)(3,36)(4,64). write a rule that represents the function.

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0
Let x represent first number in pair and y represent second number. We can see that x numbers are increasing by 1 on each next pair. y numbers are square of 0,2,4,6 and 8

Knowing all of that let "n" represent the position of the pair starting from 0!

than we can write that the rule is:
(n,(2n)^2)
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Step-by-step explanation:

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A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
Vlad [161]
<h3>Answer: Choice C) 31</h3>

==============================================

Explanation:

The recursive rule

f(n+1)=f(n)-3

can be rearranged to

f(n) = f(n+1)+3

after adding 3 to both sides

----------------

Now let's say we plug in n = 3

f(n) = f(n+1)+3

f(3) = f(3+1)+3

f(3) = f(4)+3

f(3) = 22+3

f(3) = 25

Repeat for n = 2

f(n) = f(n+1)+3

f(2) = f(2+1)+3

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f(2) = 25+3

f(2) = 28

Each time we keep adding 3 to get the previous term (since the original recursive rule says to subtract 3 to get the next term; we just go backwards of what the instructions say).

Lastly, we can find that f(1) = f(2)+3 = 28+3 = 31 making the answer to be choice C.

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Answer:

D. -12s squared + 11st - 2t squared

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FOIL:

-3s(4s) - 3s(-t) + 2t(4s) + 2t(-t)

- 12s² + 3st + 8st - 2t²

Simplify.

- 12s² + 11st - 2t²

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