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
What is 437 squared If you know please help me im doing exams Right now. Have a great day.
enyata [817]
190,969 should be the answer
4 0
3 years ago
Read 2 more answers
Notación científica de 0,567
Phoenix [80]

Answer:

0,00567×10¹

Step-by-step explanation:

Para convertir a notación decimal:

0.00567×10¹

4 0
3 years ago
Rectangle QRST is dilated by a scale factor of 1/2. What is the perimeter of rectangle Q'R'S'T'. (Please help)
natima [27]

Answer:

7

Step-by-step explanation:

take the perimeter of what you have now (14) and divide it by 2, because it is dilated by 1/2

8 0
3 years ago
here a subtraction problem that has been solved incorrectly what is the right answer for 74-25=59 but do it in the addition sent
madam [21]

Answer:

the equation is wrong

Step-by-step explanation:

=> 74-25=59

since 74 - 25 equals to 59 in order to find the addition sentence that will check the subtraction problem is true and 59 and 3/5 or you can add add 59 and 25 to check if the problem was solved correctly

=> 59+25

add 59 to 25

=> 84

this means the question is wrong

5 0
2 years ago
Read 2 more answers
In a class of 28 pupils, if 12 are females. Calculate the ratio of males : total
tensa zangetsu [6.8K]

Answer:

16 : 28

Step-by-step explanation:

If 12 out of the 28 pupils are female, we can calculate the number of males by subtracting the number of females from the total number of pupils.

28 - 12 = 16

So, there are 16 males in the class. Now, we know that the ratio of males : total is 16 : 28.

I hope this helps! Have a lovely day!! :)

(brainliest is much appreciated!!)

6 0
2 years ago
Read 2 more answers
Other questions:
  • Geometric Distribution. (Discrete waiting time distribution) It is known that 1% of bits transmitted through a digital transmiss
    13·1 answer
  • I’m confused on this one
    11·1 answer
  • Which of the following is a rational number? √(1)√(2)√(3)√(5)
    14·1 answer
  • Round 15.6895 to the nearest tenth<br><br> A) 15.7<br> B) 15.6<br> C) 15.68<br> D) 15.69
    5·2 answers
  • Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabr
    8·1 answer
  • How many triangles can be constructed with angle measurements ​ 90°,45°,50° ​ ?
    15·1 answer
  • I will give brainliest. Help Me, please
    14·1 answer
  • Solution of <br> y=2x^3-4x^2+3x-1
    10·1 answer
  • Can someone please tell me which one is correct??? The first screenshot is the question and the second screenshot is the options
    14·1 answer
  • Please help quick!!! <br><br> Reflect over the y axis then translate
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!