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Aleonysh [2.5K]
2 years ago
5

Hello, I need help with this.

Mathematics
1 answer:
DiKsa [7]2 years ago
7 0

Answer:

Infinitely many solutions.

Step-by-step explanation:

Systems of equations can be solved through substitution, elimination, or graphing. For this problem, let's solve the system through substitution.

Given the system of equations:

x-2y=8

3x-6y=24

Focusing on the first given equation, we can solve for the x-variable by adding the term "2y" to both sides of the equation:

x= 2y+8

Now that we have a value for the x-variable, we can substitute that value into the second equation for x:

3(2y+8)-6y=24

Following PEMDAS, distribute "3" to each term within the parentheses:

6y+24-6y=24

Now, let's combine like terms:

24=24

Our result indicates there are an infinite number of solutions to this system of equations as "24=24" is a statement that will always be true.

In the attached image, you can see that these equations have the same graph, which is additional support for the fact this system of equations has an infinite number of solutions that are true.

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The answer to this question. i’m confused and don’t understand it.
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Answer:

5,120 bacterias

Step-by-step explanation:

Given the amount of bacteria after x hours modelled by the equation:

f(x) = 20(2)^x/12

Note that x is in hours not days

To calculate the number of bacteria that will be contained within the culture after 4 days, we will first convert 4days into hours since x is in hours.

24hours = 1day

xhours = 4days

x = 24×4

x = 96hours

Substituting x = 96 into the equation

f(96) = 20(2)^96/12

f(96) = 20(2)^8

f(96) = 20×2^8

f(96) = 20×256

f(96) = 5,120

The number of bacteria that will be contained after 4days is 5,120bacterias

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2 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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