Tony Owens a special pet store that sells only snacks and elephants currently he has a total of 11 snacks and elephants in stock
1 answer:
Answer: There are 8 snake and 3 elephants.
Step-by-step explanation:
Let x= Number of snakes
y= Number of elephants
We know that , snake has no legs elephant has 4 legs.
Then, Total animals = x+y=11 (i)
Total legs = 4y = 12
⇒ y=3 .. (ii)[divide both sides by 4]
Substitute value of y from (ii) in (i) , we get
Hence, there are 8 snake and 3 elephants.
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When we solve for y we get our solution:
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It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.