The differential equation that has the given slope is: dy/dx = -xy.
<h3>How to find the differential equation that models the situation?</h3>
We have to look at the slope, given in the graph of the solution of the differential equation, and represented by dy/dx. From the graph, we have that:
- In quadrants I and III, in which x and y have the same signal, the differential equation is decreasing, hence the slope is negative.
- In quadrants II and IV, in which x and y have different signals the differential equation is increasing, hence the slope is positive.
The differential equation that is negative when x and y have the same signals and positive when they do not have is given by the following option:
dy/dx = -xy.
More can be learned about differential equations at brainly.com/question/14423176
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Answer:
Slope = 2/3 Y intercept +3
Step-by-step explanation:
Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.
Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.
The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).
Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.
Answer:
The quandrants on a grap are basically the groups on the graph like quadrant I ,II ,III , and IV hope that helps
Step-by-step explanation:
Answer:
C.1/16
Step-by-step explanation:
When a coin is tossed 4 times, the number of outcomes are:
2^4 = 16
So,
From the outcomes, only one outcome will be when there will be all heads
So, the probability will be:
One out of the 16 outcomes
Hence, the probability of a coin landing on heads all 4 times is:
C.1/16
Answer:
52 32- cent stamps and 26 13-cent stamps
Step-by-step explanation:
Let x be the 32-cent stamps and y be the 13-cent stamps then...
x=2y
32x+13y=2002 (note that $20.02 is 2002 cents)
We can solve using substitution (substitute 2y for x)
32(2y)+13y=2002
64y+13y=2002
77y=2002
y=26
x=2(26)
x=52
She bought 52 32-cent stamps and 26 13-cent stamps.
