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
mixer [17]
3 years ago
14

Show all work to identify the asymptotes and zero of the function f of x equals 5 x over quantity x squared minus 25.

Mathematics
1 answer:
Lorico [155]3 years ago
4 0

Answer:

  • asymptotes: x = -5, x = 5
  • zero: x = 0

Step-by-step explanation:

The function of interest is ...

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

The asymptotes are found where the denominator is zero. It will be zero when either factor is zero, so at x = 5 and x = -5

__

The zeros are found where the numerator is zero. It will be zero for x = 0.

The asymptotes are x=-5, x=5; the zero is x=0.

You might be interested in
Suppose you are given information about a triangle according to SSS, SAS, and ASA. For which of these can you immediately use th
jek_recluse [69]

Answer:

SSS and SAS

Step-by-step explanation:

Law of cosines: The law of cosines is used for calculating one side of a triangle when the angle opposite and the other two sides are known.

If the information about a triangle according to SSS, SAS and ASA is given, then we will immediately use SSS and SAS  by using the law of cosines to find one of the remaining measures because Law of cosines is applied if we know one angle opposite and the other two sides.

Also, in ASA, we know two angles and one side, thus we cannot use Law of cosines in this, rather Law of sines can be accurately use in this case.

if you have two sides, encroaching an angle, then the Law of Cosines can be used to find a missing side, thus SAS will work fine for that, now, if you have no angles given, but you know all sides, you can use the Law of Cosines as well, by solving it for the angle, and get the angles, on which case, SSS will do... .now as far as ASA, if you have two angles and one side known, then... that's not very workable for the law of cosines

please mark me brainliest :)

3 0
3 years ago
Read 2 more answers
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

5 0
3 years ago
ALI. calonades i TONS<br>QUESTIONS<br>1 begun bow PORT<br>RT pod is<br>8.1.1Give a reason why P2=70​
kolbaska11 [484]
Can you put a picture of the question so that i can help you out
6 0
3 years ago
How old would you be today if you were born in 1977?
Montano1993 [528]
Current year is 2016
born year is 1977

old
2016 - 1977
39 years
5 0
3 years ago
Read 2 more answers
A line of best fit predicts that when x equals 28, y will equal 27.255, but y actually equals 26. What is the residual in this c
zlopas [31]

Answer:

C) -1.255

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value =  26 - 27.255

Residual values = -1.255

The answer is -1.255 for residual value.

5 0
3 years ago
Other questions:
  • What is the solution set of the equation x^2-3x-10=0
    9·1 answer
  • Line s is shown. Two points on a parallel line t are (−2,−6) and (z+2,z). Solve for z
    14·1 answer
  • If triangle MNO is congruent to triangle PQR, name a pair of congruent angles.
    13·1 answer
  • 13. At its peak, Tristan's blog had 1810 monthlyvisitors. Since then, the number of monthlyvisitors has been declining at a rate
    10·1 answer
  • The town of Lantana needs 14,000 for a new playground Lanta elementrary raised 5,358, Lanta middle school raised 2,834 and Lanta
    5·2 answers
  • NEED HELP ASAP!!!
    8·1 answer
  • P(11,3) Permutations
    15·2 answers
  • Solve 6x^2 - 12x + 24 = 0 by completing the square
    13·1 answer
  • I'm on a timed test please help.
    9·1 answer
  • The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total a
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!