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2 years ago

Divide (18x^3 + 12x – 3x) ÷ 6x^2

1 answer:

4 0

First let's simplify it

$\frac{18x^3 + 9x}{6x^2}$

Now let's factor it
$\frac{9x(2x^2 + 1)}{6x^2}$

Lastly, let's simplify
$\frac{3(2x^2 + 1)}{2x}$

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During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon

Likurg_2 [28]

Answer:

The exponential growth function is $P=145380e^{0.04103t}$

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by $P=P_0 e^{kt}$

Here, P denotes total population after time t

$P_0$ denotes initial population

k denotes rate of growth

t denotes time

As $P(0)=145,380$ ,

$145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}$

As $P(10)=219135$

$219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}$

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2 years ago

How many roots does the equation -2x^3 = 0 have? 3 2 1 0

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Factor 2x2 − 4x − 30 completely.

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Consider the equation: x + 3y = 4x + y If x is 6, what is y?

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Answer:

The simplified system is the arbitrary solution of the original system of equations.

Y=9

X=6

Step-by-step explanation:

I have used an online Math Algebra problem solver to guide me to my answer and this is 100% sure the correct answer.

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