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lianna [129]
3 years ago
10

Please help! what equation best models this data?

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

P = 309.35 + 2.31t

Step-by-step explanation:

The relation between the population of the USA and the time in years after 2010 will be linear as the increase in population is constant for every year since 2010 which is  2.31 million.

So, we can model the population P in million as a function of time(t) in years since 2010 as

P = 309.35 + 2.31t  ....... (1)

Now, for t = 0 i.e. in the year 2010, the population will be obtained from equation (1) to be 309.35 million.

(Answer)

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Answer:

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Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

You have to have exactly the same thing underneath the radical. So for example in choice A you have sqrt(2) and sqrt(3) underneath the radical. They are not the same. Choice A is not the answer.

Choice B has the same problem sqrt(5) is not the same thing as sqrt(3) and choice B is not the answer.

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Step-by-step explanation:

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3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%20x%5E%7B2%7D-10x%2B25%7D%2B25%2B12%5Csqrt%7Bx%7D%20%3D15%5Csqrt%7Bx%7D" id="TexFor
vodomira [7]

Step-by-step explanation:

\sqrt{ x^{2}-10x+25}+25+12\sqrt{x} =15\sqrt{x} \\  \\  \therefore \: \sqrt{ x^{2}-10x+ {5}^{2} }+25 =15\sqrt{x} - 12\sqrt{x}\\  \\  \therefore \: \sqrt{( x - 5)^{2}}+25 =3\sqrt{x}  \\  \\ \therefore \:  x - 5+ 25 = 3 \sqrt{x}  \\  \\ \therefore \: x + 20 = 3 \sqrt{x}  \\  \\ squaring \: both \: sides \\ (x + 20)^{2}  = ( {3 \sqrt{x} })^{2}  \\ \therefore \:  {x}^{2}  + 40x + 400 = 9x \\ \therefore \:  {x}^{2}  + 40x + 400  - 9x = 0 \\  \therefore \:  {x}^{2}  + 31x + 400  = 0 \\

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Answer:

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Step-by-step explanation:

You can easily check that a complex number z = x + yi times its conjugate x – yi is the square of its absolute value |z|2. Therefore, 1/z is the conjugate of z divided by the square of its absolute value |z|2.

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