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s2008m [1.1K]
3 years ago
9

For the function illustrated above, what is the domain? A{1, 2, 3, 4, 9, 12} B{1, 4, 9, 12} C{2, 3, 4} D{4, 9}

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

The correct option is C

C)  (2,3,4)

Step-by-step explanation:

Domain can be defined as the set of all possible values of input, for which we can calculate the values of output. The values of input are independent, while the values of output are dependent on the values of input.

In the diagram, we can see that the arrow represents that for a certain number in A, we get a number from B. Which means that A represents the input while B represents the output.

As A is the input, all values of A form the domain of the function, which means that domain in {2,3,4}

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Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

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Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

Hope this helps you out! :)

Also, it's OK! This was actually pretty hard to figure out!

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Step-by-step explanation:

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4 years ago
Read 2 more answers
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