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My name is Ann [436]
4 years ago
13

X^4 + 2x^3 + 4x + 8 / x + 2

Mathematics
1 answer:
KATRIN_1 [288]4 years ago
6 0
\dfrac{x^4 + 2x^3 + 4x + 8}{x + 2}

= \dfrac{x^3(x + 2) + 4(x + 2)}{x + 2}

= \dfrac{(x + 2)(x^3+4) }{x + 2}

= x^3 + 4
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What is great about this question is that you aren’t required to give numerical approximations of the rate of change over the interval. This means that you have a lot less work to do than you think.

Start by drawing a dot on each y-coordinate of every given x value in the interval table (-13, -10, -5, -2, and 0). Then, for each interval, draw a straight line between the two y-coordinates of the two x-values given in the interval. So, for interval A, you would draw a straight line from f(-13) to f(-10). This line would have a steep downward slope; this means that the average rate of change over this interval is negative, or less than zero. A satisfies the question.

Interval B has a positive slope between the two y-coordinates, so it doesn’t satisfy the question. Interval C has a line with a slope of 0, but does satisfy the question because it’s asking for average changes less than or equal to zero.

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3 years ago
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1. Practicando: expresa en lenguaje algebraico.
Natasha_Volkova [10]

Answer:

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<u><em>The question in English is</em></u>

Expressed in algebraic language.

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Four times a number:

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we know that

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so

3n

Part 2) we have

Four times a number:

we know that

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4 years ago
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scZoUnD [109]

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Answer:

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