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mote1985 [20]
3 years ago
6

The total cost renting a bicycle is $10 flat fee plus an additional $7.50 per hour. If the total cost was $55, for how many hour

s was the bicycle rented
Mathematics
2 answers:
MrMuchimi3 years ago
7 0
The bicycle was rented for 6 hours.
Strike441 [17]3 years ago
7 0
The bicycle was rented for six hours
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The non separable differential equation dy dx = 8x − 2y has a linear particular solution of the form y = mx + b. Find m + b.
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Answer:

m + b=2

Step-by-step explanation:

From the question we are told that

The non separable differential equation \frac{dy}{dx} = 8x - 2y

Generally the chi form of a give equation is mathematically represented as

\frac{dy}{dx} +P(x)y= q(x)

\frac{dy}{dx} + 2y = 8x

ye^2^x=\int e^2^.8xdxx

ye^2^x=8(\frac{xe^2^x}{2}-\frac{\int e^2^x}{2})

ye^2^x=8(\frac{xe^2^x}{2}-\frac{e^2^x}{1})+c\\

ye^2^x=4x^2^x-2e^2^x+c

y=4x-2+c

for c=0

y=4x-2

Therefore

m=4\\b=-2\\m + b=4-(+2)

m + b=2

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