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7nadin3 [17]
3 years ago
8

Can anyone help me on question 2?

Mathematics
2 answers:
Maurinko [17]3 years ago
8 0

Answer:

Sure, I  can help you with question 2.

Step-by-step explanation:

Original equation:

-3x-7y=2

Substitute x and y values

-3(4)-7(-2)=2

-12+14=2

2=2

This is true, thus (4, -2) <em>is </em>a solution to the given equation.

Katena32 [7]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

-3x - 7y =2

Substitute the point into the equation

-3(4) -7(-2) =2

-12 +14=2

2=2

This is true so the point is a solution to the equation

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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

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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

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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:

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

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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

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

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