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3 years ago

How to find the asymtope of a function

1 answer:

3 0

Asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cross them. The method used to find the horizontal asymptote changes depending on how the degrees of the polynomials in the numerator and denominator of the function compare.

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Neela is making rectangular place mats that are 12 inches wide and 15 inches long. What is the least amount of ribbon that she w

schepotkina [342]

Believe it or not, :), the width of the ribbon needs to be known to get the right answer. If the ribbon had an infinitely small width the ribbon needed would just be the perimeter.

P=2(L+W)

P=2(12+15)

P=54 in

However an infinitely small width is not something that has any practical application. For example, if the width of the ribbon were 1/2 in.

P=2((L+1)+W)

P=2(16+12)

P=56 in So the perimeter increased by 2 in when the ribbon was only 1/2 in wide.

The "infinitely small" width and the perimeter of 54 in is only a decent approximation if the ribbon were a very thin string.

8 0

4 years ago

How many different two digit numbers can you make using the numbers 3,7,9, and 2 if no digit is repeated within a number?

viva [34]

The first digit can be any one of the four. For each of those . . .
The second digit can be any one of the remaining 3 .

The total number of possible arrangements is (4 x 3) = 12 .

5 0

3 years ago

Cotpheta•sin2pheta=<br><br>1+cos2pheta<br>1+cospheta<br>1+sin2pheta

3241004551 [841]

Answer:

Step-by-step explanation:

Did you mean.

$= \cot( \theta) . \sin(2 \theta)$

$= \frac{ \cos( \theta) }{ \sin( \theta) } .(2 \sin( \theta) \cos( \theta) )$

$= \frac{2 \sin( \theta) \cos {}^{2} ( \theta) }{ \sin( \theta) }$

$= 2 \cos {}^{2} ( \theta)$

$= 2.(1 - \sin {}^{2} ( \theta) )$

$= 2 - 2 \sin {}^{2} ( \theta)$

No option Solution.

8 0

2 years ago

For a loan of $40,000 at 12% for 10 years, how much do you wind up paying back?

jek_recluse [69]

Answer:

$88,000

Step-by-step explanation:

40,000*.12= 4,800

4,800*10= 48,000

40,000+48,000= 88,000

8 0

3 years ago

Find the difference and simplify.

Murrr4er [49]

Step-by-step explanation:

$\frac{x + 1}{x - 4} - \frac{x + 3}{x + 2} \\ \frac{(x + 1)(x + 2)}{(x - 4)(x + 2)} - \frac{(x + 3)(x - 4)}{(x + 2)(x - 4)} \\ \frac{ {x}^{2} + 3x + 2 }{(x + 2)(x - 4)} - \frac{ {x}^{2} - x - 12 }{(x + 2)(x - 4)} \\ \frac{( {x}^{2} + 3x + 2) - ( {x}^{2} - x - 12)}{(x + 2)(x - 4)} \\ \frac{ {x}^{2} + 3x + 2 - {x}^{2} + x + 12}{(x + 2)(x - 4)} \\ \frac{4x + 14}{(x + 2)(x - 4)} \\ \frac{2(2x + 7)}{(x + 2)(x - 4)}$

6 0

3 years ago