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
Elis [28]
2 years ago
7

Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.

Mathematics
1 answer:
wlad13 [49]2 years ago
3 0

9514 1404 393

Answer:

  • asymptotes: x = ±4, y = 0
  • zero: x = 0

Step-by-step explanation:

The function factors as ...

  f(x)=\dfrac{4x}{(x-4)(x+4)}

The vertical asymptotes are found where the denominator factors are zero:

  x-4 = 0   ⇒   x = 4

  x+4 = 0   ⇒   x = -4

The zero of the function is where the numerator is zero:

  4x = 0   ⇒   x = 0

The horizontal asymptote of the function is the value of 4x/x² when x tends to infinity. That value is zero. The equation of the horizontal asymptote is ...

  y = 0

You might be interested in
Help!! - 2.10 - (4 points)
Brrunno [24]

Answer:

Approach: Difference of Squares Pattern

4 {x}^{2}  - 25 = (2x - 5)(2x + 5)

Step-by-step explanation:

The given binomial is:

4 {x}^{2}  - 25

We can rewrite to obtain:

{(2x)}^{2}  -  {5}^{2}

This is a difference of two squares, so we will factor using difference of squares pattern.

Recall that:

{a}^{2} -  {b}^{2}   = (a + b)(a - )

If we let

a = 2x

and

b = 5

Then we can factor the given binomial to obtain:

{2x}^2 -  {5}^{2}  = (2x - 5)(2x + 5)

\therefore4 {x}^{2}  - 25 = (2x - 5)(2x + 5)

6 0
4 years ago
Plz help with math!!!
Orlov [11]
5y+2 i think because those are parallel lines:)

5 0
4 years ago
Find the LCM of the following
Tresset [83]

Answer:

A. LCM of 6,9, and 15 is 90.

B. LCM of 3,12, and 16 is 48.

C. LCM of 8,9, and 12 is 72.

D. LCM of 24 and 18 is 72.

E. LCM of 21 and 28 is 84.

F. LCM of 19 and 42 is 798.

Step-by-step explanation:

Hope this helps! :)

8 0
3 years ago
Emily and her family are planning to fly to Italy over the summer. If they fly out from LAX, the distance of the trip will be 6,
Iteru [2.4K]

The speed is the ratio between the distance and the time:

s=\frac{d}{t}

Data:

d=6343miles

t=9h

s=\frac{6343\text{miles}}{9h}=704.77\frac{miles}{h}Then, the plane traveled at a speed of 704.77 miles per hour.

8 0
1 year ago
There are 9 students in a class: 7 boys and 2 girls.
Crank

Answer: 9/7

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is .725 as a decimal? (or) What is 29/40 as a decimal?
    11·2 answers
  • if the sum of the measures of the interior angles of a convex polygon is 1440° , how many sides does the polygon have?
    9·1 answer
  • Jon spends 1/4 of his vacation budget on food and 2/3 of his budget on hotels. He spends $242 on food and hotels. What is Jon’s
    9·1 answer
  • Express the number in scientific notation.<br><br> 26.3
    11·1 answer
  • The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form
    11·2 answers
  • A patient's temperature was recorded at 9 a.m., 11 a.m., 4 p.m. and 6 p.m. The first, second, and fourth readings were 112° F, 6
    9·1 answer
  • Find the measure of the angle complementary to the given angle.<br> mZy = 15°
    11·1 answer
  • the browns are having a barbeque for 6 people. they want to give each person 3/5 of a pound of chicken. how much chicken will th
    8·1 answer
  • Please I need help!!!<br> F 25<br> G20<br> H10<br> J28
    15·1 answer
  • The sum of the first n consecutive even numbers can be found using S = n2 + n. What is the value of n when the sum is 272?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!