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
Gre4nikov [31]
4 years ago
12

How to find horizontal asymptotes with x as an exponent analytically?

Mathematics
1 answer:
tiny-mole [99]4 years ago
4 0
When the base is greater than 1, the value approaches zero as the exponent goes to -∞. When the base is less than 1, the value approaches zero as the exponent goes to ∞. Whatever additions or factors you have that modify the exponential term will modify the asymptote accordingly.
You might be interested in
Which of the following expressions represents the sum of a number and three is divided by two? 2 ÷ x + 3 2 ÷ (x + 3) (x + 3) ÷ 2
zzz [600]

(x + 3) divided by 2

third option

5 0
3 years ago
Read 2 more answers
Find AA and BB that make the equation true. Verify your results.
CaHeK987 [17]

Answer:

a. A = -1 and B = 1

b. A = 7 and B = -5

Step-by-step explanation:

a.

\frac{A}{x+1} +\frac{B}{x-1}  = \frac{2}{x^2-1}

\frac{A*(x-1)+B*(x+1)}{(x+1)*(x-1)} = \frac{2}{x^2-1}

\frac{Ax - A + Bx + B}{x^2 -1} = \frac{2}{x^2-1}

To the equation be true, the "x-parts" and "nonx-parts" mist be the same, so:

Ax + Bx = 0

(A + B)x = 0

A + B = 0

A = -B

B - A = 2

B - (-B) = 2

2B = 2

B = 1  and A = -1

b.

\frac{A}{x+3} + \frac{B}{x +2} = \frac{2x -1}{x^2+5x+6}

\frac{A*(x+2) + B*(x+3)}{(x+3)*(x+2)} = \frac{2x-1}{x^2+5x+6}

\frac{Ax + 2A + Bx + 3B}{x^2 + 5x + 6} = \frac{2x-1}{x^2+5x+6}

To the equation be true, the "x-parts" and "nonx-parts" mist be the same, so:

Ax + Bx = 2x

(A + B)x = 2x

A + B = 2

A = 2 - B

2A + 3B = -1

2*(2-B) + 3B = -1

4 - 2B + 3B = -1

B = -5  and A = 2 - (-5) = 7

5 0
3 years ago
Billy the Badger sets his treadmill grade to 6% (rises 6
Murrr4er [49]

Answer:

60

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How do you simplify 2/3 divided by 1/3
suter [353]

Answer:

2

Step-by-step explanation:

Solve. To do so, change the division sign into a multiplication sign, and flip the second fraction:

(2/3)/(1/3) = (2/3) x (3/1)

Multiply across:

(2 * 3)/(3 * 1) = (6)/(3)

Simplify:

6/3 = 2

2 is your answer.

~

8 0
3 years ago
How much would $500 invested at 6% interest compounded monthly be worth after 5 years? round your answer to the nearest cent.
Lady bird [3.3K]
Use this formula: A = P(1 + r/n)^nt, where A is the amount after interest (what you are solving for), P is the amount you invested originally, r is the rate at which it was invested in decimal form, n is the number of times the compounding occurs each year, t is the time in years it is invested. It would look like this: A = 500(1 + [.06/12])^12*5.  Do inside the parenthesis first to get 1 + .005 = 1.005.  Now raise that to the 60th power (12 times 5 is 60) to get 1.34558. Now multiply that by the 500 out front to get a total amount of $674.43
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x?<br><br> Enter your answer in the box.
    7·1 answer
  • EGYC Corporation manufactures a certain type of smartphone that requires 66 working capacitors per phone. If one out of 34 capac
    8·1 answer
  • If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
    11·1 answer
  • The maximum number of volts, E, that can be placed across a resistor is given by the formula E = , where P is the number of watt
    6·1 answer
  • Which expression is equivalent to SquareRoot -80
    6·1 answer
  • State your first and last name. Use the letters in your first name and last name to write an equation of a line in slope-interce
    14·1 answer
  • A small business reported a net loss of $86,000 in 2004 and a net profit of $32,000 in 2005. How much did the company’s profits
    7·2 answers
  • The expression 16t² represents the distance, in feet, an object falls after t seconds. The object is dropped from a height of 90
    12·1 answer
  • |3x-11|=x+3<br> Write both solutions as equations on the same line separated by a comma.
    11·1 answer
  • Evaluate<br> A) <br><br> 3<br><br> B) <br><br> 2<br><br> C) <br><br> 5<br><br> D) <br><br> 0
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!