Answer
The equation is already in slope intercept form so just graph it as you normally would.
Step-by-step explanation:
graph the -3x as a line the looks like this \ that goes through the +60. It should look like this
Answer:
Step-by-step explanation:
The logistic differential equation is as follows:
In this problem, we have that:
, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.
At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.
This means that 
when 
. With this, we can find r, that is, the growth rate,
So
So the differential equation is:
-12 + 2a = -6 (1+a)?
Answer is 0 = 6
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
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27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
The answer is 4/3 and I checked two times
