K/5 + 3 - 3k = -6k
Steps
Subtract 3 from both sides
k/5 + 3 - 3k - 3 = -6k - 3
Then simplify,
k/5 - 3k = -6k - 3
Add 6k to both sides
k/5 - 3k + 6k = -6k - 3 + 6k
Simplify,
k/5 + 3k = -3
Next, multiply both sides by 5
k/5 * 5 + 3k * 5 = -3 * 5
So,
k + 15k = -15
16k = -15
Then, divide both sides by 16
16k/16 = -15/16
Simplify,
k = -15/16
Answer:
Step-by-step explanation:
thank you for your regarding..
Any number but 0 is compatible because you can add any number to 428.
Answer:

so y = 3x - 3
since 3x + 6 is on the bottom,

so this means it should be the graph of y = 3x - 3, but with a hole at (-2, -9)
Answer:
The water level is rising at a rate of approximately 0.1415 meters per minute.
Step-by-step explanation:
Water is flowing into a right cylindrical-shaped swimming pool at a rate of 4 cubic meters per minute. The radius of the base is 3 meters.
And we want to determine the rate at which the water level of the pool is rising.
Recall that the volume of a cylinder is given by:

Since the radius is a constant 3 meters:

Water is flowing at a rate of 4 cubic meters per minute. In other words, dV/dt = 4 m³ / min.
Take the derivative of both sides with respect to <em>t: </em>
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Implicitly differentiate:

The rate at which the water level is rising is represented by dh/dt. Substitute and solve:

Therefore:

In conclusion, the water level is rising at a rate of approximately 0.1415 meters per minute.