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Allushta [10]
3 years ago
9

Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3.

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0
We must recall that a horizontal asymptote is the value/s of y that the given function approaches to but never reaches. To find this in a rational function, we compare the expressions with highest degree in the numerator and denominator. There are three possible outcome when this happens.

1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.

2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.

3. if they have the same highest degree, then we just get the quotient of their coefficient. 

Now, going back to our function, we have

f(x) = \frac{2x - 1}{x^{2} - 7x + 3}

From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.

Answer: y = 0
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242,000

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Since the 6 in the hundreds place is greater than 5, you round up.

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The table is missing though but you may consider the following calculations :

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Question 7 )
soldier1979 [14.2K]

<em>Answer:</em>

<u>Tony</u> has 45 dollars  

<u>Milan</u> has 15 dollars

<u>Lucy</u> has 25 dollars

<em>Explanation:</em>

<u>Let </u><u><em>x</em></u><u> represent the amount of money Milan has in his wallet.</u>

TONY: 3x

MILAN: x

LUCY: x+10

<u>Lucy, Milan, and Tony have a total of $85 in their wallets. Hence, the following equation.</u>

<u />

3x+x+x+10=85

5x+10=85

5x=75

x=75/5

x=15

Tony has 45 dollars (3*15=45)

Milan has 15 dollars (x=15)

Lucy has 25 dollars (10+15=25)

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2 years ago
What is the average rate of change of the function f(x)=2x+4 over the interval -4 ≤ x ≤ 1? Table
Tom [10]

Answer:

2

Step-by-step explanation:

the rate of change is measured as

\frac{f(b) - f(a)}{b-a} in the closed interval [ a, b ]

here [a, b ] = [- 4, 1 ]

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2 years ago
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kondor19780726 [428]
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Similarly, to know the decimal that is less that 0.8 by 10 times, simply divide 0.8 by 10 as follows:
decimal = 0.8 / 10 = 0.08

This means that 0.8 is 10 times larger than 0.08
5 0
3 years ago
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