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frutty [35]
2 years ago
6

The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.

Mathematics
2 answers:
vova2212 [387]2 years ago
7 0

Answer: the coomon factor that is missing from both sets of parentheses is 2x + 7.


Explanation:


These are the steps to factor the polynomial with the reasons that justify them:


Step                                                   Reason

1. 10x³ + 35x² - 4x - 14                       Given

2. (10x³ + 35x²) - (4x + 14)                 Group the terms

3. 5x² (2x + 7) - 2 (2x + 7)                Common factor 5x² and 2


After this, you extract common factor 2x + 7 and have the complete factored polynomial: (2x + 7) (5x² - 2).

ankoles [38]2 years ago
6 0
Answer is 2x+7 because in the first parenthesis when you take out 5x2 you are left with 2x+7 and in the 2nd parenthesis you also get 2x+7 because the negative is factored out
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Answer:

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d. Adjustments

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There are seven boys and five girls in a class. The teacher randomly selects three different students to answer questions. The f
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The probability of picking one girl would be \frac{5}{12}. That is because there are 5 girls out of the 12 students, and the probability of an event occuring is: \frac{\text{# of things you want}}{\text{# of things are possible}}.

Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us:\frac{7}{11}, for the probability of picking a boy as the second pick.

And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be:\frac{4}{10}.

We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:

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Which when reduced is:

\frac{7}{66}

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Answer:

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Step-by-step explanation:

Let be supposed that US population can be modelled by means of the following exponential function:

y = A \cdot e^{B\cdot t}

Where:

t - Time, measured in years. Where t = 0 for 1970.

A - Initial population, in millions inhabitants.

B - Exponential rate constant, in years.

y - Population, in millions inhabitants.

Each constant is found hereafter:

A

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B

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