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marissa [1.9K]
3 years ago
7

Last limits problem for today. I think it's mostly right but something isn't quite right here.

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Do you know for sure that there's a vertical asymptote at x=2?

The last two limits should be 2 according to the range on the vertical axis (-6 to 6).

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If f(x) = 6x – 4, what is f(x) when x = 8?<br> 0.16
kykrilka [37]

f(8)=6\cdot8-4=48-4=44

7 0
3 years ago
Read 2 more answers
A tuition scale for a state university shows an increase of $1,100 each year. If the initial cost was $27,000. What will the cos
oksian1 [2.3K]

If each years cumulate an increase of 1100 dollars, then the cost after 22 years will be the base cost (27000) plus 22 increases (22*1100), for a total of

27000 + 22\cdot 1100 = 27000 + 24200 = 51200

This relates to arithmetic series as follows: a series is arithmetic if, given a starting element x_0, every next element is given by adding a fixed number, called common difference, r. So, the first terms are

  • a_0 = x_0
  • a_1 = x_0 + r
  • a_2 = x_1 + r = (x_0+r) + r = x_0 + 2r
  • a_3 = x_2 + r = (x_0+2r) + r = x_0 + 3r
  • a_4 = x_3 + r = (x_0+3r) + r = x_0 + 4r

So, you can see that the element x_n is obtained by adding n times the common ratio to the starting element.

Since the element a_n represents the cost after n years, we are interested in the element

a_{22} = x_0 + 22r = 27000 + 22\cdot 1100 = 512000

As we had already calculated.

7 0
3 years ago
PLS HELP
Sloan [31]

Answer:

8√5 units.

Step-by-step explanation:

See the diagram in the coordinate plane attached.

A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.

The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).

Therefore, side length of the rhombus will be  

\sqrt{(- 1 - 3)^{2} + (- 1 - (- 3))^{2}} = \sqrt{20} = 2\sqrt{5} units.

So, the perimeter of the rhombus will be (4 × 2√5) units  = 8√5 units. (Answer)

The distance between two points (x_{1},y_{1}) and (x_{2},y_{2}) on a coordinate plane is given by  

\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}

5 0
4 years ago
Find the areas of the circle, if diameter=16cm
Reika [66]

Hey there!


Formula for the area of a circle: A = \pi r^2

Formula for the radius of a circle: r = d/2\\


First, let's divide the diameter by 2 in order to find the radius.

16/2 = 8

Next, we'll plug our values into the formula (found above).

A = pi x 8^2

A = pi x 64

A = 64pi^2 or A = 201.1cm^2


Hope this helps!! :)


4 0
3 years ago
What is the measure of Q to the nearest whole degree?
MrRa [10]
If this is your graph then your answer is 41.41 if not ask again and put your graph or copy it then paste it in the comments 

6 0
3 years ago
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