How do you find median. What's the median for the numbers: 76,84,93,67,82,87,76

Answer:

• f(x): vertical, x = -4; horizontal, y = 3
• g(x): vertical, x = 2; horizontal, y = -4
• g(x) is shifted right 6 and down 7 from f(x)

Step-by-step explanation:

The vertical asymptote is the vertical dashed line in each graph. Its equation is x = constant, where the constant can be read from the graph where the line crosses the x-axis.

The horizontal asymptote is the horizontal dashed line in each graph. Its equation is y = constant, where the constant can be read from the graph where the line crosses the y-axis.

f(x)

The vertical asymptote is x = -4. The horizontal asymptote is y = 3.

g(x)

The vertical asymptote is x = 2. The horizontal asymptote is y = -4.

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The vertical asymptote of g(x) is 2-(-4) = 6 units to the right of that of f(x). The horizontal asymptote of g(x) is -4-3 = -7 units up from that of f(x). The graph of g(x) matches that of f(x) shifted right 6 units and down 7 units.

To find the intersection points of two graphs, set f(x) equals to g(x) and solve for 'x'. Substituting the x-value into either function gives the y-coordinate. The intersection point is the (x, y) pair.

In the subject of Mathematics, to find the specific points where function f(x) and function g(x) intersect, we need to set them equal to each other and solve for the variable x.

The formula we use is f(x) = g(x).

If f(x) is a linear equation such as y = 2x + 3 and g(x) is also a linear equation such as y = -3x + 7, setting them equal gives 2x + 3 = -3x + 7.

Solving for x ends up with x = 0.8. This x value is where the two functions intersect on a graph.

Another step can be taken to find the y coordinate by substituting the x value into either function.

So, if we substitute 0.8 into the function f(x), f(0.8) = 2(0.8) + 3 = 4.6. So the intersection point is (0.8, 4.6).

Learn more about Intersection of functions here:

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Arithmetic sequence  5, 3, 1, -1 then value of a^18 is 3814697265625.

Solution:

Given, arithmetic sequence is 5, 3, 1, -1

We have to find the value of  

We know that, first term of any A.P is represented by the letter “a”

So, here in our problem first term a = 5

Then we have to find the value of  

Hence, the value of a^18 is 3814697265625.

Final answer:

The 18th term of the arithmetic sequence is -29.

Explanation:

An arithmetic sequence is a sequence in which the difference between any term and its preceding term is constant. In this case, the common difference is -2, because each term is decreased by 2 to get the next term. To find the 18th term, we can use the formula:

an = a1 + (n-1)d

where an is the term we want to find, a1 is the first term, n is the position of the term, and d is the common difference.

Using the given sequence, we can substitute the values into the formula:

a18 = 5 + (18-1)(-2) = 5 + 17(-2) = 5 - 34 = -29

Therefore, the 18th term of the given arithmetic sequence is -29.

Learn more about Arithmetic sequence here:

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