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trapecia [35]
3 years ago
14

Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3. y = 0 y = 1 over 2 y

= 2 no horizontal asymptote
Mathematics
2 answers:
Ratling [72]3 years ago
8 0
The horizontal asymptote is the value at the y-axis where the graph approaches the line but not necessarily touching it. Hence, the asymptotic characteristic of the graph. The standard form of a function in fraction form is y = (ax^n +...)/(bx^m+...). There are rules to follow to determine the horizontal asymptote of a function.
1) if n = m , then the horizontal equation is y = a/b
2) if n>m, then there is no horizontal equation
3) if n<m, then the horizontal equation is the x axis ; y = 0.

The function given falls on the third rule hence the horizontal asymptote of the function is at y = 0.
yawa3891 [41]3 years ago
8 0

Answer with explanation:

The function is

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

→Horizontal asymptote can be calculated as:

1.y= \lim_{x \to 0} \frac{2 x-1}{x^2-7 x-3}\\\\2.y=\lim_{x \to 0}\frac{2 -\frac{1}{x}}{x-7-\frac{3}{x}}\\\\3. y=\frac{2}{\text{-Infinity}}\\\\4.y=0

In Second step dividing numerator and denominator by ,x.

→y=0, is the  horizontal asymptote.

 

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What is a 15 of the sequence -7, 2, 11, ...?<br><br> A. 128<br> B. 110<br> C. 136<br> D. 119
gregori [183]

Answer:

D. 119

Step-by-step explanation:

To find the common difference, we take the second term and subtract the first term

2-(-7) = 9

We check  by taking the third term and subtracting the second

11-2 = 9

The common difference is 9

The formula for an arithmetic sequence is

an = a1 +d(n-1)

where a1 is the first term, d is the common difference and n is the number of the term in the sequence

a1=-7, d=9 and we are looking for the 15th term  so n=15

a15 = -7 +9(15-1)

a15 = -7+9(14)

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Leviafan [203]

Answer:

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Step-by-step explanation:

Alright this has the same exact concept as other scientific notation problems.

First, multiply your first numbers: 4.18 x 9 = 37.62

Next, we add our powers together -4 +-4 = -8 (can also be read as -4 - 4 = -8)

We now have 37.62 x 10^-8

Wait! This isn't in scientific notation.

Taking a closer look at this we see 37.62 x 10^-8 can be adjusted by moving the decimal over to the left. Scientific notation must be in simplest form with only one number on the left of the decimal. This gives up 3.762.

Now we need to adjust our notation. Since we moved the decimal over one we are adding one more power to our problem.

Our current power of -8 is now adding a power due to moving the decimal place over one unit to the left. This is equivalent to saying -8 + 1 which equals -7. Now that we fixed our powers, we can put our equation back together for our final answer

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3 years ago
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