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mash [69]
3 years ago
6

Express as a trinomial: (x 4)(x-2) 3x

Mathematics
1 answer:
kramer3 years ago
8 0
If it is (x-4)(x-2)3x than the answer is 3x(x^2-4x-2x+8) = 3x(x^2-6x+8) = 3x^3 - 18x^2 + 24x


If it is (x+4)(x-2)3x than the answer is 3x(x^2+4x+2x+8) = 3x(x^2+6x+8) = 3x^3 + 18x^2 + 24x
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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

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The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

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Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

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