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coldgirl [10]
3 years ago
9

Does the equation x^2+y=144 define y as a function of x?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0

The given equation is

x^2 + y = 144

First we solve for y, and for that, we have to islolate y, that is

y= 144-x^2

And it pass the vertical line test. So here y is a function of x .

So we can define the given equation as y as a function of x .

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A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

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It's true :)

Think of 49.02 as 49.020.

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