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Drupady [299]
3 years ago
10

Write a function with the following characteristics: 1.A vertical asymptote at x = 3 A horizontal asymptote at y = 2 An x-interc

ept at x=-5 2.A vertical asymptote at x=-1 An oblique asymptote at y = x + 2

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

1. The vertical asymptote requires the denominator have a zero at that location. The x-intercept requires the numerator have a zero at that location. The horizontal asymptote amounts to a multiplier of the function:

... y = 2(x +5)/(x -3)

2. The vertical asymptote requires the denominator have a zero at that location. The oblique asymptote is an add-on

... y = 1/(x +1) +(x +2)

... y = (x² +3x +3)/(x +1)

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Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. J
Mazyrski [523]
Solving the given inequality for d, we get...

6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83

Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}

The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6

8 0
3 years ago
Read 2 more answers
Tao uses elimination to solve the following system of linear equations. -2x+4y=162x+2y=8Which ordered pair is a solution to the
Alex_Xolod [135]

The correct answer is the first option.


If you want to use elimination, you can sum the two equations for example, so that the x's simplify:


(-2x+4y)+(2x+2y) = 16+8


6y = 24


y = 4


Plug this value for y in one of the equations to derive the value of x:


2x+2y=8 \implies 2x + 8 = 8 \implies x = 0


So, the solution is (x,y) = (0,4)

8 0
3 years ago
1. What are the major forces that drive movements in the atmosphere?
Kruka [31]
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Friction always acts opposite to air motion

<span>Coriolis Force<span>Coriolis force- the force that results from Earth's rotation.The Coriolis force solely results from living on a rotating object -- Earth. It acts only on objects moving with respect to the earth's surfaceCentrifugal force- the tendency for a body to resist a change in direction.
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</span></span></span>2. The amount of sunlight striking an air mass influences its temperature. As the air heats up, it rises in the air column and begins sucking cool air in behind it. This causes the winds that drive much of the planet’s weather systems.

The weather is also affected by the local geography. For example, mountains often block winds and rainfall. This causes one side of the mountain to have very high amounts of rainfall and lush vegetation, while the far side of the mountains remain very dry and desolate.

The air pressure in an area can impede or encourage the flow of weather systems. In general, air masses flow from areas of high pressure towards areas of low pressure. Usually, storms occur in areas of extremely low pressure.

The amount of water in the atmosphere affects the local humidity and rainfall. Air masses that move across bodies of water often draw water up into the air before depositing it somewhere else as rain, snow or sleet

6 0
3 years ago
The cost to purchase 3 sandwich rolls is $0.48. How much will it cost to<br> purchase 20 rolls?
spayn [35]

Answer:

$3.2

Step-by-step explanation:

0.48 ÷ 3 = 0.16

0.16*20=3.20

Hope this helps

7 0
2 years ago
Read 2 more answers
Rich is building a travel crate for his dog, Thomas, a beagle-mix who is about 28 inches long, 11 inches wide, and 24 inches tal
Dmitry [639]

Answer:

27600

Step-by-step explanation:

28 long +12 -->40

11 wide +12 --->23

24 tall +6--->30

v=40×23×30=27600 cubic inches

4 0
2 years ago
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