Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In what mont
h is the f(x) population greater than the g(x) population? Month 1 Month 2 Month 3 Month 4
2 answers:
Answer:
The answer is Never.
Step-by-step explanation:
In order to determine the month, we have to graph both functions and then we have to determine the intercept point of the functions. With this information, for any "x" value greater than
, one of both function will be greater that the other.
I have attached an image that shows the graph of both functions, where:
Red line:
Blue line:
As we see in the image, the intercept happens in the negative range of "x". Also we can see that the population of g(x) is always greater than f(x) for .
Therefore, never the f(x) population will be greater than g(x) population.
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1. Polynomials are closed under the operations of addition and substraction mean that:
If we add two polynomials, the result is still a polynomial (so still in the set of polynomials)
Also, If we subtract 2 polynomials, the result is a polynomial.
2. Example: given the polynomials :
and 
Addition example:
Subtraction example:
=
=
So both M(x)+N(x) and N(x)-M(x) are polynomials
If we add two polynomials, the result is still a polynomial (so still in the set of polynomials)
Also, If we subtract 2 polynomials, the result is a polynomial.
2. Example: given the polynomials :
Addition example:
Subtraction example:
=
=
So both M(x)+N(x) and N(x)-M(x) are polynomials