2 years ago

Divide using long division. HELP ASAP!!

Mathematics

1 answer:

pav-90 [236]2 years ago

8 0

Answer:

The answer to your question is the first option

Step-by-step explanation:

Write the division

7x³ - 7x² + 6x +4 Result

x + 1 7x⁴ - 0x³ - 1x² + 10x + 15

-7x⁴ - 7x³

0 - 7x³ - 1x²

+ 7x³ +7x²

0 + 6x² + 10x

- 6x² - 6x

0 + 4x + 15

- 4x - 4

0 + 11 Remainder

Result = 7x³ - 7x² + 6x + 4 + 11 / x + 1

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In 2000, the population of Massachusetts

Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

$f(x) = 6.3*(1.0032)^{x}$

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

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$7 = 6.3*(1.0032)^{x}$

$(1.0032)^{x} = \frac{7}{6.3}$

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We have to following logarithm rule

$\log{a^{x}} = x\log{a}$

So we apply log to both sides of the equality

$\log{(1.0032)^{x}} = \log{1.11}$

$x\log{1.0032} = \log{1.11}$

$x = \frac{\log{1.11}}{\log{1.0032}}$

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The population reaches 7 million people in the year 2032.

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