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lbvjy [14]
2 years ago
5

The cost of playing pool increases with the amount of time using the table. Identify the independent and dependent quantity in t

he situation.
Mathematics
2 answers:
Bas_tet [7]2 years ago
4 0
The cost depends on how much time you take on the table 
So the independent variable is time and dependent is the cost.
Marina CMI [18]2 years ago
3 0
The cost is dependent on the time played because the cost and go up without the time going up
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You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:
kolbaska11 [484]

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

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P_1=P_0+0.5P_0-0.2P_0=1.3P_0

As this dynamic will continue with the years, we can generalize as:

P_2=1.3P_1=1.3\cdot (1.3P_0)=1.3^2P_0\\\\P_n=1.3^nP_0

Then, the value of the population at the end of the 7th year should be:

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8 0
1 year ago
A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be d
frosja888 [35]
<span>Answer:
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In this given graph, f(x) is a polynomial modeling the Pi-guy, the math superhero, flying around. Write an equation in terms of
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Answer:

The given transformation are;

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2) Transformation A = f(x + 5)

3) Transformation B = f(x) + 3

Step-by-step explanation:

1. The question being asked in the problem is the representation of the transformation of the given figure which is a function (the curved line that runs through the hands of Pi-guy in the drawing) in functional notation using f(x) to represent the function

2. Try using changes along the x axis as changes in the independent variable, x, in the function f(x) as follows;

Initial position of the parent function = f(x)

Transformation A, which is a translation, 5 units to the right along the x axis = f(x + 5)

Transformation along the y-axis where x = 0, as addition or subtraction to the parent function

Therefore;

Transformation B, which is a translation, 3 units to the up along the y-axis with x at 0 = f(x) + 3

3. The outline of the answers can be presented as follows

The given transformation are;

1) Parent function = f(x)

2) Transformation A = f(x + 5)

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4. The above expression can be checked by considering the curve of the function as a figure and performing the given translations on all points on the figure

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2 years ago
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