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Harman [31]
3 years ago
5

Write a real-life word problem that involves one-variable equation. Discuss how you would go about solving this problem.

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

Answer:

A waiter at a restaurant earns 10 dollars per hour. How much money is earned in 4 hours?

Equation: m = 10h

m = money earned

h = hours worked

Plug in 4 for (h)

m = 10(4)

m = 40 dollars

The waiter earns 40 dollars in 4 hours.

Step-by-step explanation:

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5 0
3 years ago
If thewronskian w of f and g is 3e4t,and if f(t) = e2t,find g(t).
ehidna [41]
W(f(x),g(x))=\begin{vmatrix}f(x)&g(x)\\f'(x)&g'(x)\end{vmatrix}=f(x)g'(x)-g(x)f'(x)

We have f(t)=e^{2t}\implies f'(t)=2e^{2t}, so

W(f(t),g(t))=e^{2t}g'(t)-2e^{2t}g(t)=3e^{4t}
\implies e^{-2t}g'(t)-2e^{-2t}g(t)=3
\implies\dfrac{\mathrm d}{\mathrm dt}[e^{-2t}g(t)]=3
\implies e^{-2t}g(t)=\displaystyle\int3\,\mathrm dt
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\implies g(t)=3te^{2t}+Ce^{2t}

where C is any arbitrary constant.
8 0
4 years ago
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