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Pie
3 years ago
6

The following graph shows the functions f(x) and g(x):

Mathematics
2 answers:
salantis [7]3 years ago
6 0
<span>The function g(x) is obtained by adding 3 to f(x). 

The vertex of f(x) is at (0,0), and the vertex of g(x) is at (0,3). This means that 3 points should be adding to f(x) to achieve g(x); this shifts f(x) upwards 3 points.</span>
liberstina [14]3 years ago
4 0

Answer:

The function g(x) is obtained by adding 3 to f(x).

Step-by-step explanation:

We have been given the graph of two functions.

So, we can see that the f(x) has its vertex at the origin and after some transformation the graph is shifted upwards vertically by 3 units or  which is shifted 3 units up.

So, the graph of g(x) has the vertex (0,3).

So, the function g(x) is obtained by adding 3 to f(x).

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Answer:

P\geq 26e^{-0.079t}

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Step-by-step explanation:

We are given that there is an exponential decay.

Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.

Since, the initial amount of the species is atleast 26 million.

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where t is the time period for the decay and P is the population.

Moreover, is is given that the population cannot be less than 2 million.

So, we get, P\geq 2.

Hence, the inequalities to determine the possible number of insects over time are given by,

P\geq 26e^{-0.079t}

P\geq 2.

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