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
Karo-lina-s [1.5K]
3 years ago
14

F(x)=X over x^3-2x^2+5x why will this have no zeros​

Mathematics
1 answer:
Mumz [18]3 years ago
5 0

If you evaluate directly this function at x=0, you'll see that you have a zero denominator.

Nevertheless, the only way for a fraction to equal zero is to have a zero numerator, i.e.

\dfrac{x}{x^3-2x^2+5x}=0\iff x=0

So, this function can't have zeroes, because the only point that would annihilate the numerator would annihilate the denominator as well.

Moreover, we have

\displaystyle \lim_{x\to 0} \dfrac{x}{x^3-2x^2+5x} = \lim_{x\to 0} \dfrac{x}{x(x^2-2x+5)} = \lim_{x\to 0} \dfrac{1}{x^2-2x+5} = \dfrac{1}{5}

So, we can't even extend with continuity this function in such a way that f(0)=0

You might be interested in
Amanda is buying a $190,000 home. She has decided to purchase 2 points in order to lower her interest rate. The appraisal fee is
olga2289 [7]
The answer is $5425 (APEX)
7 0
3 years ago
Read 2 more answers
Solve for X, and show the equation you would use to solve.
Lady_Fox [76]

Opposite interior angles are equal, so

4x - 10 = 2x + 20

2x - 10 = 20

2x = 30

x = 15

6 0
3 years ago
Read 2 more answers
10Hello, can you help me with this? How much is 5 raised to 5?​
vesna_86 [32]

Answer:

A 5 by 5 Power in Trust is a clause that lets the beneficiary make withdrawals from the trust on a yearly basis. The beneficiary can cash out $5,000 or 5% of the trust's so-called fair market ...

Step-by-step explanation:

5^5

=5*5*5*5*5

=5^5

=3125

6 0
3 years ago
-4(y+1)+2 <br> help i am very confused
likoan [24]

Answer:

-4y-2

Step-by-step explanation:

-4(y+1)+2

-4 times y is -4y

-4 times 1 is -4

-4y-4 plus 2

is 4y-2

4 0
2 years ago
2m+5=5(m-7)-3m equals??
Svetradugi [14.3K]
2m+5=5(m-7)-3m
first, use distributive property...
2m+5=5m-35-3m
next, combine like terms on the right side...
2m+5=2m-35
next, subtract 2m from both sides.
2m+5=2m-35
-2m   -2m
you will get....
5=-35 in which is not true. This means the equation has no solution.
6 0
3 years ago
Read 2 more answers
Other questions:
  • 9m=6 what does m = in this equation ?
    11·2 answers
  • Suppose 20% of the students on campus smoke. you select two students at random. in what percentage of samples will both students
    5·1 answer
  • In automobile mileage and gasoline-consumption testing, 13 automobiles were road tested for 300 miles in both city and highway d
    13·1 answer
  • Find x, y, and z.
    13·1 answer
  • ANSWER PLS ITS URGENT NEED DONE IN ONE MIN BUS IS COMING!!!! pls dont let me fail!!!!! (will mark as brainliest)
    13·2 answers
  • Find parametric equations for the line parallel to r = (6,-8) and passing through P (9, -1)
    6·1 answer
  • the numbers 1343 and 1413 both included for which statement is true about the value represented by 4 in 413
    5·1 answer
  • Helppppp, if you could show your work too that would be so amazing!!
    10·1 answer
  • Mr. Cooper wet to the market looking to purchase some fried chicken meals to bring home for
    7·2 answers
  • A student was asked to calculate the missing leg of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!