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
Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip a
Zigmanuir [339]

Answer:

Kevin is going to be able to have enough money for the concert the fastest

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Step-by-step explanation:

<u>Philip</u>

  • $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week
  • $45 saved

Let's call x to the number of weeks Philip needs to reach $225.

52.5*x + 45 = 225

52.5*x = 225 - 45

x = 180/52.5

x = 3.43

He needs at least 4 weeks

<u>Kevin</u>

  • 3 hours/day * $7.5/hour *3 days/week = $67.5/week
  • $30 saved

Let's call y to the number of weeks Kevin needs to reach $225.

67.5*y + 30 = 225

67.5*y = 225 - 30

y = 195/67.5

y = 2.9

He needs at least 3 weeks

6 0
3 years ago
in a rectangle, the ratio of the width to the length is 4:5. If the rectangle is 40 centimeters long find its width
dybincka [34]
Gofipanswer.com copy and paste ur answer it showes the answer and  explains it good luck    god bless<3
4 0
3 years ago
A pitcher of water contains 1/4 of water. The water is poured equally into 5 glasses. How many liters of water are in each glass
IRINA_888 [86]
Hey there!

To solve this, divide the numbers 1/4 and 5 . . .

1/4 = 1/4

5 = 5/1

1 x 1 = 1

4 x 5 = 20

= 1/20

1/20 is already in it's simplest form, so it doesn't need to be simplified.

There are 1/20 liters of water in each glass.

Hope this helps you.
Have a great day!
7 0
3 years ago
Read 2 more answers
What is 1323/12 in simplified form
Mice21 [21]

Answer:

441/4

Step-by-step explanation:

Find the GCD of numerator and denominator

GCD of 1323 and 12 is 3

Divide both the numerator and denominator by the GCD

1323 ÷ 3

12 ÷ 3

Reduced fraction:

441/4

________

Hope this helps!

-Lexi

4 0
2 years ago
Substitute 2m + n =0 and m + 2n =3
melamori03 [73]

There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:

2m + n = 0 => n = -2m

We can input that in for the other equation:

m + 2n = 3 now becomes: m + 2(-2m) = 3

Now we can solve:

m + 2(−2m) = 3

m + −4m = 3

(m + −4m) = 3 (Combine Like Terms)

−3m=3

m = -1

Now we can input that value in to solve for n:

We said that n = -2m, and m = -1, so n = -2(-1):Answer:

n = 2

Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)

----------------------

However, if you were solving for m+n:

You would add the two equations!:

2m + n = 0

m + 2n = 3

----------

3m + 3n = 3

Now, you can take 3 common:

3(m+n) = 3

m + n = 1

Your final answer for what m + n equals 1!

3 0
3 years ago
Other questions:
  • Lisa walked 8 km more than Tim. Lisa walked twice as far as Tim. How far did each walk?
    5·1 answer
  • Sunshine bank offers 6% simple interest on deposits. Tangerine bank offers 5% interest compound annually. State the difference i
    6·2 answers
  • John weighs three times as much as Karen. Two times John's weight plus Karen's weight is 875 pounds. How much does John weigh? H
    15·2 answers
  • The ratio of plates to napkins is 3:18. write the ratio in the simplest form
    15·1 answer
  • Calculate the midpoint between (2,-5) and (4, -7).
    14·1 answer
  • Joanie bought a total of 56 presents to put in 7 gift bags.She put 3 pencils and an equal number of stickers in each bag.How man
    7·1 answer
  • Emily and her friends pick 27 lb of blueberries each pound of blueberries contains 195 blueberries how much blueberries been Emi
    6·1 answer
  • Can anyone help plz and thx
    12·1 answer
  • PLEASE HELP 15 POINTS please give right answer​
    14·1 answer
  • A baker poured 8 kilograms of oats equally into 3 bags.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!