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Vsevolod [243]
3 years ago
14

Which graph represents an odd function?

Mathematics
2 answers:
olga55 [171]3 years ago
7 0
The 3rd graph should be it
jeka57 [31]3 years ago
7 0

The third graph, with (-4,0),(-3,1),(-2,-3),(-1,-2),  (1,2),(2,3),(3,-1),(4,0)

We see the pattern, if we have (x,f(x)) we have (-x, -f(x)).  In other words

f(-x) = -f(x)

which is the definition of an odd function.

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A compressed air tank carried by scuba divers has a volume of 8.00 L and a pressure of 141 atm at 22.0°C. What is the volume (in
weqwewe [10]

Answer:

Volume of air in the tank =1,044 Liter

Step-by-step explanation:

Given:

Tank volume = 8 Liter

Pressure = 141 atm

Temperature = 22°C = 273° + 20° = 295° K

Find:

Volume of air in the tank = ?

Computation:

\frac{Pressure\times Tank\ volume}{Tempreture} =\frac{Pressure\times Air\ volume}{Tempreture}\\\\\frac{141\times 8}{295} =\frac{1\times Air\ volume}{273.15}\\\\\frac{1,128}{295} =\frac{Air\ volume}{273.15}\\\\Air\ volume=1,044.45

Volume of air in the tank =1,044 Liter

8 0
3 years ago
Can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. T
Greeley [361]

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

4 0
3 years ago
What percent is equal to .64
Rzqust [24]

Answer:

64%

Step-by-step explanation:

.64 is equal to 64%

In order to convert move the decimal over two spaces and add a percent sign (%).

Move the decimal 0.64 to 64 and add percent sign 64%.

6 0
2 years ago
Read 2 more answers
A student solved 6x+4=2(x−8) in four steps as shown:
mr_godi [17]
The first thing you should do is solve the equation yourself.

1) Distribute the 2.  
6x + 4 = 2x – 16

2) Next, you'll want to get the x's on one side. So add -2x to both sides.
6x + 4 + -2x = 2x + -2x - 16
4x + 4 = -16

3) Now subtract 4 from both sides
4x + 4 – 4 = -16 – 4
4x = -12

4) Finally, divide both sides by 4
4x/4 = -12/4
x = –3

To solve this problem all you need to do is look back out you work, and figure out the correct solution. The answer the question is The student made an error in Step 1.

7 0
3 years ago
A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri
Nataliya [291]

Answer:

  • It is the last graph: solid line, shaded area over the line x = 2 - x/2

Explanation:

1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>

  • Number of sofas: x (given)
  • Number of pillows: 2y (given, since they come in pairs)
  • Number of items = number of sofas + number of pillows = x + 2y
  • Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4

<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>

  • The border line is the equation x + 2y = 4
  • You can choose two points to draw a line
  • Choose the axis-intercepst:

        x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)

        y = 0 ⇒ x = 4 ⇒ point (4,0)

        Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]

  • The shading area is above the line because when you solve for y you get y ≥   2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).

  •  To state that the line is included the graph uses a continous line instead of a dotted one.

<u>3) Conclusion:</u>

That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.

Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.

   

5 0
3 years ago
Read 2 more answers
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