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ArbitrLikvidat [17]
3 years ago
6

#16 i

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

\mathbf{(x,y) \to (0,9200)(5,10900)}

A linear function is represented as:

\mathbf{y = mx + b}

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

\mathbf{10900 = 5m + 9200}

Subtract 9200 from both sides

\mathbf{1700 = 5m}

Divide both sides by 5

\mathbf{340 = m}

So, we have:

\mathbf{m =340 }

The function becomes

\mathbf{y = mx + b}

\mathbf{y = 340x + 9200}

In the academic year 2023-2024, x = 9.

So, we have:

\mathbf{y = 340x + 9200}

\mathbf{y = 340 \times 9 + 9200}

\mathbf{y = 3060 + 9200}

\mathbf{y = 12260}

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

brainly.com/question/21107621

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Answer:

The limit of the function as x approaches to -1, is -1 and the option 4 is correct.

Step-by-step explanation:

According the the definition of limit, if,

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Then the limit of function exist. Either the function is defined or not on the point a. If the at point a the value value of function is L, then the function is continuous.

From the given graph it is easily noticed that the value of f(x) approaches to -1 as x approaches to -1 from left or left. At x=-1 there is a open circle on (-1,-1), therefore this is not included in the function.

The value of f(x) is 2 at x=-1 because of the point (-1,-2).

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7 0
3 years ago
<img src="https://tex.z-dn.net/?f=5x%2B7x-1%2F2x%2B1%2F4%3D6%5C%5Cx%3D%3F" id="TexFormula1" title="5x+7x-1/2x+1/4=6\\x=?" alt="5
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Answer:

Step-by-step explanation:

5x + 7x - 1/2x + 1/4 = 6

move x to one side move numbers to the other side

5x + 7x - 1/2 x = 6 - 1/4

add x and numbers

23/2x = 23/4

divide both side by 23/2

x = (23/4)/(23/2)

  = 1/2

plug it in to check the answer

5/2 + 7/2 - 1/4 + 1/4 = 6

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