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Ainat [17]
3 years ago
9

Show that an exponential model fits the data. Then write a recrusive rule that models the data.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

<u>Exponential function:</u>

  • f(x) = abˣ

<u>Use the given data to determine the function.</u>

  • f(0) = ab⁰ = a*1 = a ⇒ a = 0.75
  • b = 2 as each of the f(n) is twice the previous one in series.

<u>The model is:</u>

  • f(n) = 0.75*2ⁿ

<u>Recursive rule to reflect this is:</u>

  • f(0) = 0.75
  • f(n) = 2*f(n-1)
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Step-by-step explanation:

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4. Read this sentence from the selection.

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In this sentence the word dogmatic is used as —

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• an illuminating allusion


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8. What is ironic about the author’s mother showing off with her knowledge of the word unintellectual?

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2 years ago
A 10-metre long pipe is cut into 2 pieces. One piece is 5 times the length of the other piece. Find the length of each piece, en
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Answer:

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Step-by-step explanation:

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The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.

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3 years ago
6 - 3x = 5x - 10x + 8
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Answer:

x=1

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6-3x=5x-10x+8=

move all terms to the left:

6-3x-(5x-10x+8)=0

add all the numbers together, and all the variables

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get rid of parentheses

-3x+5x-8+6=0

add all the numbers together, and all the variables

2x-2=0

move all terms containing x to the left, all other terms to the right

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