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Agata [3.3K]
3 years ago
11

Write 3x+4y=12 in slope intercept form

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0
Ok, let’s take it step by step.
In order to write an equation in slope intercept form, solve for y.
3x+4y=12
First, subtract 3x from both sides.
4y=-3x+12
Now, divide both sides by 4.
y=-3/4x+3.

So, 3x+4y=12 written in slope intercept form is y=-3/4x+3.
lapo4ka [179]3 years ago
3 0

Answer:

y= -3/4x+12

Step-by-step explanation:

subtract 3x = 4y= -3x + 12

divide by 4

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Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).
NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}

Now, differentiate to obtain

\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}

=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}

To obtain the required form, extract a factor in both the numerator and denominator:

\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)

3 0
3 years ago
How many quarter hours are in 5 hours?
nikklg [1K]
There is a few ways to get the result.
Lets try this.
First calculate how many minutes are in the 5 hours.
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Now, knowing that quarter is 15min we can divide 300 by 15 to get the result, so
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Step-by-step explanation:

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