Which sequence is graphed below?

Mathematics

2 answers:

Artist 52 [7]3 years ago

8 0

The answer is: [A]:   " aₙ = n – 2 " .
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Explanation:   "aₙ" represents "y" on the "y-axis".

                         "n" represents "x" on the "x-axis".
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         Considering the answer choices given, one can look at the graph. When one looks at the graph, when "x = 2, y =0 " ; or, when "n = 2, aₙ = 0 ".
   When examining the answer choices, we see that "{Answer choice: [A]" } is the ONLY equation given when these values fit. Furthermore, by plugging in a few more values on the line, we see that the "equation" in
"{Answer choice [A] }" makes sense.
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scoundrel [369]3 years ago

7 0

Looking at the chart you see that the initial term is -1 and each successive term is 1 more than the previous one. The rule for nth term of an arithmetic sequence is:

a(n)=a+d(n-1), a(n)=nth term, a=initial term, d=common difference, n=term number.

In this case a=-1 and d=1 so

a(n)=-1+1(n-1)

a(n)=-1+n-1

a(n)=n-2

So the correct answer is A)

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The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all en

Kay [80]

The cost of 1 adult ticket in the off season is 42$, but it is asking for the child ticket's price so you would do 194-42 and you get 152. Then, you would divide 152/4 and you get 38 but this is during the off-season so you would double it and get 76.
The regular price for a child is 76$

But feel free to check my work :D

4 0

3 years ago

Read 2 more answers

Please show full solutions! WIll Mark Brainliest for the best answer. <br><br> SERIOUS ANSWERS ONLY

Ierofanga [76]

Answer:

vertical scaling by a factor of 1/3 (compression)
reflection over the y-axis
horizontal scaling by a factor of 3 (expansion)
translation left 1 unit
translation up 3 units

Step-by-step explanation:

These are the transformations of interest:

g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k

g(x) = f(x) +k . . . . vertical translation by k units (upward)

g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis

g(x) = f(x-k) . . . . . horizontal translation to the right by k units

Here, we have ...

g(x) = 1/3f(-1/3(x+1)) +3

The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:

vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
reflection over the y-axis . . . 1/3f(-x)
horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
translation left 1 unit . . . 1/3f(-1/3(x+1))
translation up 3 units . . . 1/3f(-1/3(x+1)) +3

_____

<em>Additional comment</em>

The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.

The horizontal transformations could also be described as ...

translation right 1/3 unit . . . f(x -1/3)
reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)

The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.

8 0

2 years ago

What is the equation of the line that passes through the points (-3,5) (6,8)

Ratling [72]

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}}\implies \cfrac{3}{6+3}\implies \cfrac{3}{9}\implies \cfrac{1}{3}$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-5=\cfrac{1}{3}(x+3)\implies y-5=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+6$