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vampirchik [111]
3 years ago
13

PLEASE ANSWER ASAP PLEAS

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

Answer:

d only.

Step-by-step explanation:

lol i know ur map testing, i had the same question yesterday

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Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2. ​
insens350 [35]

Answer:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

Step-by-step explanation:

Given

p(x) = \frac{x^2-2x-3}{x+2} -- Missing from the question

Required

The behavior of the function around its vertical asymptote at x = -2

p(x) = \frac{x^2-2x-3}{x+2}

Expand the numerator

p(x) = \frac{x^2 + x -3x - 3}{x+2}

Factorize

p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}

Factor out x + 1

p(x) = \frac{(x -3)(x + 1)}{x+2}

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

x -> -2^{-} Say x = -3

p(x) = \frac{(x -3)(x + 1)}{x+2}

p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

x->-2^{-}, p(x)->-\infty

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: x>-2

Say x = -2.1

p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

x->-2^{+}, p(x)->-\infty

So, the behavior is:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

6 0
3 years ago
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t,
Mkey [24]

Answer:

It would be option A. 10 Minutes.

Step-by-step explanation:

If you look at the graph, the farthest point, and the time of 10 minutes meet at the point (10, 2,500)

(Really hoping this helps <3)

7 0
3 years ago
QUICK! WHOEVER GETS CORRECT FIRST GETS BRAINLIEST AND 20 POINTS!
Snowcat [4.5K]

Answer: 24ft squared

Step-by-step explanation:

8x3 = 24

3 0
2 years ago
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An animal shelter provides a bowl with 1.55 liters of water for 5 cats.
Archy [21]

Answer: The answer is 0.8 liters of water.

Step-by-step explanation: Well there are 5 cats and each cat drinks .15 liters per day. .15x5 = .75 liters of water. 1.55 liters - .75 liters = 0.8 liters left.

7 0
3 years ago
How do you find the answer to 8/10 divided by 1/5
kherson [118]

When fractions are divided by each other, you're really multiplying by the "multiplicative inverse". This is the fraction, but flipped.


\frac{8}{10} \div \frac{1}{5} = \frac{8}{10} \times \frac{5}{1} \\\\So\\\frac{8}{10} \times \frac{5}{1} = \frac{40}{10} = 4

8 0
3 years ago
Read 2 more answers
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