Answer:
Both versions of the expression equal the exact same amount;one is just much shorter.Simplifying algebraic expressions is the same idea,except you have variables in your expression.So,Basically you're turning a long expression into something you can easily make sense of
Answer: ![y=\sqrt[]{\frac{x+4}{2} }](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B4%7D%7B2%7D%20%7D)
Step-by-step explanation:
![y=2x^2-4\\x=2y^2-4\\x+4=2y^2\\\frac{x+4}{2}=y^2\\ y=\sqrt[]{\frac{x+4}{2} }](https://tex.z-dn.net/?f=y%3D2x%5E2-4%5C%5Cx%3D2y%5E2-4%5C%5Cx%2B4%3D2y%5E2%5C%5C%5Cfrac%7Bx%2B4%7D%7B2%7D%3Dy%5E2%5C%5C%20y%3D%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B4%7D%7B2%7D%20%7D)
Answer:
See below.
Step-by-step explanation:
Answer:
G = kX
Where:
G - Growth rate
X = the initial/current population of rabbit
k = is the constant of proportionality.
Step-by-step explanation:
As we are told in the question, the growth rate is proportional to the current population. This information gives us the initial value needed to solve to find the population of rabbits at any given time.
Other information given as needed for computation and we are not asked to do anything further.
<u>Analytically,</u>
If X = 100
And it triples in 2 years. That is, 3*X = 300. 2 years is 24 months.
This gives us the monthly growth rate = 300/24 = 12.5 => 12 to 13 rabbits per months.
Foxes kill 2 rabbits per month. This implies that 2*24 = 48 rabbits are killed by Foxes in 24 months.
By implication, the population of rabbits in 2 years will be
X (in 2 years) = 300 - 48 = 252 rabbits.
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