1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

 

You might be interested in
Calculate S58 for the arithmetic sequence {an}= {5/6n+1/3} If you could show me the steps that would be great. I keep following
Amanda [17]

Answer is 8671/6 which is the third choice

===================================

Work Shown:

Find the first term of the sequence by plugging in n = 1

a_n = (5/6)*n + 1/3

a_1 = (5/6)*1 + 1/3    replace n with 1

a_1 = 5/6 + 1/3

a_1 = 5/6 + 2/6

a_1 = 7/6

Repeat for n = 58 to get the 58th term

a_n = (5/6)*n + 1/3

a_58 = (5/6)*58 + 1/3    replace n with 58

a_58 = (5/6)*(58/1) + 1/3

a_58 = (5*58)/(6*1) + 1/3

a_58 = 290/6 + 1/3

a_58 = 145/3 + 1/3

a_58 = 146/3

Now we can use the s_n formula below with n = 58

s_n = (n/2)*(a_1 + a_n)

s_58 = (58/2)*(a_1 + a_58)    replace n with 58

s_58 = (58/2)*(7/6 + a_58)   replace a_1 with 7/6

s_58 = (58/2)*(7/6 + 146/3)   replace a_58 with 146/3

s_58 = (58/2)*(7/6 + 292/6)

s_58 = (58/2)*(299/6)

s_58 = (58*299)/(2*6)

s_58 = 17342/12

s_58 = 8671/6


5 0
3 years ago
You and 4 of your friends want to make some soup for lunch each person would like to eat 1 1/3 cup soup how many cups of soup wi
Pavlova-9 [17]
Multiply the amount of people by the amount of cups they want


4*1 1/3=5 1/3
You would have to make 5 and 1/3 cups of soup

Hope this helps!
4 0
3 years ago
Read 2 more answers
Can someone please help me!
Alina [70]

Answer:

84

Step-by-step explanation:

k(x+6)= 4x²+20

k(10)= k(4+6)= 4*4²+20= 64+20= 84

8 0
3 years ago
754,863 rounded to the nearest ten thousands place
12345 [234]
754,863 rounded to the nearest ten thousands is 750,000
7 0
3 years ago
2x - 2y = 2 and 7 = -x​
Elina [12.6K]

Answer:

y = -6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • (probability) Getting a sum of either 5 or 9 on a roll of two dice
    12·1 answer
  • Which pair ordered x’y is a solution to given system of linear equations 3x+y=1 5x+y=3
    11·1 answer
  • A Drama club has 40 members. The number of girls is 5 less then 2 times the number of boys. How many members are boys? girls?
    11·1 answer
  • Find m<br> A. 12<br><br> B. 22 <br><br> C. 52<br><br> D. 38
    8·1 answer
  • What combination of transformations is shown below?
    8·1 answer
  • Kensington charges $20 per hour, h, teaching music lessons. Last year, Kensington earned $37,705, including tips, t. Given this
    12·2 answers
  • Which set of odered pairs is not a function?​
    5·2 answers
  • 3/5 + 7/8 + 3/10
    15·1 answer
  • -1 + 6(-1 - 3x) &gt; -39 - 2x.<br> -<br> A.X&lt;2<br> B. x &lt; 3<br> C. x &lt;-3<br> D. x &lt; -10
    5·1 answer
  • I need help with this
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!