How to write a expression for: Jasmin has increased her $45 by m dollars and then spends a third of the entire amount.

1 answer:

6 0

The first part is addition.
45+m
If she spend a third of it, you could multiply by 1/3 or divide by 3.
Multiply: 45+m x 1/3
Divide: 45+m/3

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Let x be the first number
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(37+y)+y=61
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$\qquad\qquad\huge\underline{{\sf Answer}}♨$

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4 years ago

Given y'(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7B-4y%28x%29%20%2B%2028%7D" id="TexFormula1" title="\sqrt{-4y(x) + 28}"

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I saw this question the first time around missing those parentheses around the $x$ , which made the ODE much, much more difficult to solve. This is doable, especially because this ODE is separable.

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$\dfrac{\mathrm dy}{2\sqrt{7-y}}=\mathrm dx$
$\displaystyle\frac12\int\frac{\mathrm dy}{\sqrt{7-y}}=\int\mathrm dx$
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$\begin{cases}y=-x^2-10x-18\\y=-x^2+2x+6\end{cases}$