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
Nata [24]
3 years ago
8

The graph below shows the function f(x)=5x+10/x^2+7x+10 Where is the removable discontinuity of f(x) located?

Mathematics
2 answers:
maria [59]3 years ago
8 0
For this case we have the following function:
 f (x) = (5x + 10) / (x ^ 2 + 7x + 10)
 
 Let's rewrite the function:
 f (x) = (5x + 10) / ((x + 2) (x + 5))

 f (x) = (5 (x + 2)) / ((x + 2) (x + 5))
 We set the denominator to zero to see the values of x for which it is not defined:
 (x + 2) (x + 5) = 0
 
 From here, we get:
 x = -2
 
x = -5

 There is a removable discontinuity at x = -2, since by rewriting the function we have:
 f (x) = 5 / (x + 5)
 
 Answer:
 
the removable discontinuity of f (x) is located at:
 
x = -2
aleksandr82 [10.1K]3 years ago
7 0
<span>The correct answer is x= - 2.

Explanation:
A removable discontinuity happens where y=(0/0). To find this, we first factor the numerator and denominator.

For our numerator, we factor out the GCF; 5 is the GCF. Factoring 5 out of 5x leaves x, and factoring 5 out of 10 leaves 2, which gives us 5(x+2).

To factor the denominator, we want factors of c, 10, that sum to b, 7. 5*2=10 and 5+2=7, so this gives us (x+5)(x+2).

Next we find the common factors in the numerator and denominator; (x+2) is the common factor. We set this equal to 0: x+2=0. Now we solve for x by subtracting 2 from each side: x+2-2=0-2; x= - 2.  </span>
You might be interested in
A circle has a radius of 11 inches and a central angle AOB that measures 45°. What is the area of sector AOB? Use 3.14 for pi an
Vesna [10]
The answer is A from what my teacher taught me
7 0
3 years ago
Read 2 more answers
Please help i rlly need itttt
Olenka [21]

Answer:

The value of x is the value where the line crosses the x-axis!

________________________________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning from them:)

8 0
2 years ago
Read 2 more answers
What is 48 ounces to 5 pounds?
masya89 [10]
5 pounds = 80 ounces
Formula: multiply the value in pounds by the conversion factor '16'.
So, 5 pounds = 5 × 16 = 80 ounces.
6 0
2 years ago
If someone knows the answer that will be greatly appreciated :)
guajiro [1.7K]

a. \: 8 = 2 + 2a \: and \: 3 = a

Step-by-step explanation:

  • Set up equation as we know both weights are equal.
  • Subtract two from both sides and divide by 2 to isolate the variable a.
  • 3 = a
5 0
2 years ago
Multiply. <br> 4.81 x 10^3=
Hitman42 [59]

4.81*10^3=4.81*1000=4810

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

6 0
3 years ago
Other questions:
  • Solve (2x + y) (2x - y)
    6·2 answers
  • An elementary school enrolled 57 students in each grade from kindergarten through sixth. How many students are there in the scho
    14·2 answers
  • The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
    5·1 answer
  • Algebra 1 please help with 6,7
    10·2 answers
  • Inez waters her plants every two days. She Trims Them Every 15 days. She did both today. When will she do both again ?
    8·1 answer
  • In downtown Charlotte, building inspectors must regulate the height of buildings. From the top of the BB&amp;T building which is
    8·1 answer
  • (20 Points)
    8·1 answer
  • A cylinder made of lead has a height of 4 inches and a diameter of 2 inches. How heavy is the cylinder if lead weighs 0.4 pound
    8·1 answer
  • Please help guys!!!!!!!!!!!!!!
    12·2 answers
  • Find the volume of the triangular prism.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!