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Aleksandr-060686 [28]
3 years ago
9

Describe the transformation from f(x) = x⁴ to g(x) = (x - 2)⁴ - 3

Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

Two to the left, three down

Step-by-step explanation:

Graphed it

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Micheal earns $3.90 per hour as a server at a restaurant. In addition,he earns an average of 18% tips on his food sales. Is the
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Y=3x-1 identify the slope and y-intercerpt
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Does (0, 0) make the equation y = 9x − 5 true?
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no

Step-by-step explanation:

y = 9x − 5

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Substitute this into the equation and see it is true

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7 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
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