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
Dima020 [189]
3 years ago
14

What are the discontinuity and zero of the function f(x) = quantity x squared plus 5 x plus 4 end quantity over quantity x plus

4?
Discontinuity at (−4, −3), zero at (−1, 0)
Discontinuity at (−4, −3), zero at (1, 0)
Discontinuity at (4, 3), zero at (−1, 0)
Discontinuity at (4, 3), zero at (1, 0)

Mathematics
1 answer:
kap26 [50]3 years ago
4 0

Answer:

  Discontinuity at (−4, −3), zero at (−1, 0)

Step-by-step explanation:

The expression simplifies to ...

  \dfrac{x^2+5x+4}{x+4}=\dfrac{(x+4)(x+1)}{(x+4)}=x+1 \qquad\text{$x\ne -4$}

This is undefined at x=-4, hence there is a discontinuity there, and is zero for x=-1.

There is a discontinuity at x=-4, and a zero at (-1, 0).

You might be interested in
What is subjective?? (Science)
natita [175]

Answer:

Hypotheses are always made by one individual or by a limited group of scientists, and are therefore subjective—based on the prior experience and processes of reason employed by those individuals, rather than solely on objective external process. 

According to this view, human attitude is associated with human sciences; but as far as natural science is concerned there is no scope for any subjective elements. Scientific knowledge is purely objective, and it is an objective description of the real structure of the world.

Step-by-step explanation:

Pertaining to or characteristic of an individual; personal; individual: a subjective evaluation.

Phrase collocation :

  1. subjective idealism
  2. subjective test
  3. subjective brightness

Bilingual example Used as an adjective (adj.) :

  1. Whatever is subjective in you, is the truth.
  2. The answer is not easy and, in this case, it is largely subjective .
  3. Marxism is not true and is not science, but so what? The hermeneuticians tell us that nothing is objectively true, and therefore that all views and propositions are subjective.
  4. His arguments were never subjective.
  5. He took a subjective view of the problem.
  6. Grading of oral tests is quite subjective.
4 0
3 years ago
Which expression is equivalent to (4x^4/2x^3)
gavmur [86]

Answer:

2x

Step-by-step explanation:

Given

\frac{4x^4}{2x^3}

= \frac{4}{2} × \frac{x^4}{x^3}

= 2 × x^{(4-3)}

= 2x

3 0
3 years ago
A field starts with /18 turkeys /in it. /9 turkeys come in, 5 turkeys leave, /half of the remaining turkeys then also leave. How
Stells [14]
11 turkeys come into the field. 18 plus 9 is 27. 27 minus 5 is 22. half of 22 is 11.


3 0
3 years ago
Read 2 more answers
Can you find the unit rate? A fertilizer covers 5/8 square foot in 1/4 hour. What is the unit rate?
alexdok [17]
\frac{5/8}{1/4} = \frac{x}{1}  \\  \\  \frac{5}{8}= \frac{1}{4} x \\  \\  \frac{20}{8} =x

Unit Rate: \frac{20}{8} square feet per hour
3 0
2 years ago
Read 2 more answers
Help meeee plsss!!!!!
tangare [24]

AaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaAaaapapppppppppapappapappapapapapapapa

8 0
3 years ago
Other questions:
  • Fifteen is greater than 3
    7·2 answers
  • Solve the radical equation. q-6=sqrt(27-2q). What is the extraneous solution to the radical equation?
    14·1 answer
  • What’s the sequence?
    5·1 answer
  • What is the value of b^2 - 4ac for the following equation?
    5·1 answer
  • John read the first 114 pages of a novel, which was 333 pages less than 1/3 of the novel. Write an equation to determine the tot
    12·1 answer
  • Is this correct yall ??
    11·1 answer
  • Jeremiah ate dinner at 6:17 pm . Before eating, it took him: - 25 minutes to cook dinner - 12 minutes to drive home from the gro
    12·1 answer
  • What is the greatest common factor of the following terms?<br> 20x4y3, 26x5y3 and 12x2y3
    7·1 answer
  • A line has a slope of 9 and passes through the point (0, 5). What is its equation in slope -intercept form?
    5·1 answer
  • How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after fo
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!