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
tino4ka555 [31]
3 years ago
5

Find the dicontinuities of the function. f(x) = x2 + 12x + 27 x2 + 4x + 3 . There is a removable discontinuity at (, ).

Mathematics
2 answers:
ollegr [7]3 years ago
5 0

Answer:

Step-by-step explanation:

its -3 -3 for both

ValentinkaMS [17]3 years ago
4 0

Solution-

f(x)=\frac{x^{2}+12x+27 }{x^{2} +4x+3} =\frac{x^{2}+9x+3x+27 }{x^{2} +3x+x+3}=\frac{(x+3)(x+9)}{(x+3)(x+1)}

Equating the denominator to 0,

⇒ (x+3)(x+1) = 0

⇒ x= -3, -1

∴ Discontinuities of the function f(x) is at -3, -1

As (x+3) is also a factor of the numerator, you will have what's called a removable discontinuity. That will show up as a hole in the graph.

∴ At x = -3, you will have removable discontinuity.



You might be interested in
If Sarah is planning a trip to an amusement park, and 410 people are going, how many buses are needed to transport everyone if 4
ladessa [460]

Answer: <u>11.</u>

Step-by-step explanation: All you'd have to do in order to achieve this answer is by dividing 410 by 40 which gives you the answer of 10.25. In order to fit everyone they'll need a rounded number of buses; equalling 11.

3 0
3 years ago
Read 2 more answers
melissa can earn $18 each time she cuts grass. if she cuts the grass x times, write an expression that shows how much she will e
Alborosie

18x

Simple as that. 18 times however many times she cuts the grass

7 0
2 years ago
7 times what equals 1?
Arturiano [62]
For this case, the first thing we must do is define a variable.
 We have then:
 x: unknown number
 Doing the multiplication we have:
 (7) (x) = 1&#10;
 From here, we clear the value of x.
 We have then:
 x =  \frac{1}{7} &#10;
 Therefore, we have:
 (7) ( \frac{1}{7} ) = 1&#10;
 Answer:
 
7 times 1/7 equals 1
4 0
3 years ago
Read 2 more answers
In PQR, PQ = QR. If M &lt; P = 42, find the measures of the other angles
mihalych1998 [28]

Answer:

96

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The tree in Pablo‘s backyard is 9.8 m high. how high is it in centimeters?
Verdich [7]
If it’s 9.8 meters then it would be 980 centimeters.
4 0
3 years ago
Read 2 more answers
Other questions:
  • In the rain forest you find a beetle. You use beads to measure the beetle. It only measures 11 breeds long .ifthe lenght of each
    5·2 answers
  • What is the value of -4° + (5-2)(-6)?
    6·1 answer
  • Find the value of x in the isosceles triangle shown below.​
    10·2 answers
  • What are the three consecutive even integers that add up to 156
    11·1 answer
  • 4. T or F if we are given the formula T = 2r + 3a , we can solve for r to get the following:
    13·1 answer
  • Plastic cups come in packages of twenty-four, and straws come in packages of twenty. If you want to end up with the same total n
    7·2 answers
  • Either Table E or Table F shows a proportional relationship.
    11·1 answer
  • Please help I need answers. zoom in if you can't see it
    9·2 answers
  • Simplify and then evaluate the equation<br> when a= 2 and b = 4.<br> b2 + 3(b – 62) – 2a= [?]
    13·1 answer
  • Some cows are brown. Fido is not a cow. Fido must be brown.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!