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gogolik [260]
2 years ago
12

Easy math problem please answer!

Mathematics
1 answer:
Alecsey [184]2 years ago
5 0

Answer:

False

Step-by-step explanation:

Does not pass vertical line test. More than one point touches if you were to drag a vertical line across this.

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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
70.85 subtract what equals 45.52
lara [203]
The answer to your question is 25.33.
7 0
4 years ago
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Find the 5th term in the sequence an=3n - 5
netineya [11]

Answer:

aₙ = 3n - 5

5th term = a₅ = 3.5 - 5 = 15 - 5 = 10

3 0
3 years ago
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The general form for a compound interest function is B(t)=P(1+r/n)^nt . Assuming that n=1 , rewrite the compound interest equati
Vesnalui [34]
The formula B(t)=P(1+\frac{r}{n})^{nt}, for n=1 becomes B(t)=P(1+\frac{r}{1})^{1\cdot t}=P(1+r)^t.

Comparing B(t)=P(1+r)^t with B(t)=900(1.185)^t, we see that 

P=900, and 1+r=1.185, which means that r=0.185.


r=0.185 can be written as 18.5%, as a percentage.


Answer: 18.5%
3 0
3 years ago
How can a company's salespeople help with product development?
S_A_V [24]

Answer/Explanation

D: They can sell new products. The reason for this is, that's what salespeople are for, to sell the products that the company make.

7 0
3 years ago
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