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vladimir2022 [97]
2 years ago
7

Simplify the expression: -2x + 3 - (5-6x)

Mathematics
1 answer:
levacccp [35]2 years ago
8 0

Answer:

4x+3

How: -2x - (-6x) = 4

3 cannot be added there you go

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Step-by-step explanation:

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
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Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

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  2                    96

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  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

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<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
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You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
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