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
will give branliest Which events are mutually exclusive?Jon eats more than 1 apple; Jon eats 3 apples.Jon eats 4 apples; Jon eat
bekas [8.4K]

Mutually exclusive means two things that cannot happen simultaneously. John cannot eat 4 apples at a time. I hope that helps:)

6 0
3 years ago
If the value of y varies directly with the value of x. If the value of y is 20 when x is 1/2, what is the value of y when did 4
inysia [295]
If i understand the question correctly then the answer you are looking for is 9
6 0
3 years ago
Read 2 more answers
C) 0.090909
Natasha_Volkova [10]

Answer:

I think its D

Step-by-step explanation:

3 0
2 years ago
Which point on the number line represents the number 4?
dexar [7]

Answer:

the forth point

Step-by-step explanation:

first locate 4x2= 8 go to 8 then half it 8/2 and go down to the 4th point and voila

5 0
2 years ago
Elite Dora and then went to an office supply store together evil Dora by 15 boxes of paper clips and 7 packages of index cards f
Gennadij [26K]
So you can multiply $61.70 x 4 and there for your answer is $246.80
7 0
3 years ago
Other questions:
  • What is two thirds minus three fourths
    6·1 answer
  • YOU WILL BRAINLIST ALSO 47 POINTS!!!
    8·1 answer
  • Compatible numbers for 2.4 and –0.18 are 2.5 and –0.2. What is the estimation of the product of (2.4)(–0.18) using these compati
    8·2 answers
  • 4) From whose point of view is the story written? Give an example from the story to support your answer? *
    10·2 answers
  • Royce walks 3/4 mile to school and 3/4 mile home each day. In how many days will he have walked 3 miles
    8·1 answer
  • The probability that a person is accepted for admission to a specific university is 0.6. Determine the probability that exactly
    14·2 answers
  • The binomial (2x+6) is a factor of a quadratic expression 10x^2+18x-36 what is the other factor of this expression?
    10·1 answer
  • Can y’all help me on question 18?!
    11·2 answers
  • Alyssa walked 1.34 fewer miles than Emily. Alyssa walked 7.45 miles. How many miles did Emily walk?
    7·1 answer
  • What is the circumference of a circle with a diameter of 11 cm?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!