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Hunter-Best [27]
3 years ago
8

Where does the graph of the function y=tan(x) have asymptotes?

Mathematics
2 answers:
Step2247 [10]3 years ago
7 0
At every pi/2 that doesn't result in a whole number value of pi. so 3pi/2, 5pi/2, etc..
Montano1993 [528]3 years ago
7 0

Answer:

y=\text{tan}(x) will have asymptote, when \text{cos}(x)=0.

Step-by-step explanation:

We are asked to find the asymptotes of the function y=\text{tan}(x).

We can represent tangent as \text{tan}(x)=\frac{\text{sin}(x)}{\text{cos}(x)}.

We know that a rational function is undefined, when denominator is zero. So our function will have asymptote, when \text{cos}(x)=0.

We know that \text{cos}(x)=0 at \pm \frac{\pi}{2}+n.

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Determine the two ordered pair solutions of the equation y = 2x2 + 3x , given (0, ), and (-2, ).
Rudiy27

Answer:

We conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

Step-by-step explanation:

Given the expression

y = 2x² + 3x

Substituting x = 0

y = 2(0)² + 3(0)

y = 0+0

y = 0

  • so when x = 0, y = 0

Thus, the ordered pair is: (0, 0)

Now, substituting x = -2

y = 2x² + 3x

y = 2(-2)² + 3(-2)

y = 8 - 6

y = 2

  • so when x = -2, y = 2

Thus, the ordered pair is: (-2, 2)

Therefore, we conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

3 0
3 years ago
An aircraft flew 5 hours with the wind. The return trip took 6 hours against the wind. If the speed of the plane in still air is
Yakvenalex [24]

Answer:

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

Step-by-step explanation:

Given:

Time taken with wind = 5 hour

Time taken against wind = 6 hour

Assume;

Speed of wind = s

So,

Speed of Plane with wind = (260 + s) miles per hour

Speed of Plane against wind = (260 - s) miles per hour

Distance = speed x time

So,

(260 + s)5 = (260 - s)6

1,300 + 5s = 1,560 - 6s

11s = 260

s = 23.63 miles per hour

Speed of wind = 23.63 miles per hour

Plane speed in still air = 260 miles per hour

5 0
2 years ago
Write a inequality Martin is building a sandcastle at the
kolezko [41]
X greater than or equal to 5
7 0
3 years ago
Read 2 more answers
Please help!!! Is this correct????
ahrayia [7]

Answer:

yes

Step-by-step explanation:

Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.

5 0
3 years ago
Trey randomly selects one card a from a standard 52-card deck.
stira [4]

Answer:

3/4 AND MUTUALLY EXCLUSIVE

Step-by-step explanation:

PLATO

4 0
3 years ago
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