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
katrin [286]
3 years ago
10

What is the GCF of the numerator & denominator below? (x-2)(x+3)/x^2+4x+3

Mathematics
2 answers:
Ganezh [65]3 years ago
6 0

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = <u>x² + x</u>    + <u>3x + 1*3</u>

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)

11Alexandr11 [23.1K]3 years ago
3 0

Answer:

GCD of given expressions is (x+3)

Step-by-step explanation:

let's simply the denominator : -

=》

{x}^{2}  + 4x + 3

=》

x {}^{2}  + 3x + x + 3

=》

x(x + 3) + 1(x + 3)

=》

(x + 1)(x + 3)

so, by plugging (x + 1) (x + 3) in denominator,

=》

\frac{(x - 2)(x + 3)}{(x + 1)(x + 3)}

and here, we can see that the only common factor in both numerator and denominator is

(x + 3)

so, GCD = (x + 3)

You might be interested in
What is 8 divided by 2.5 (In fraction form)
Alika [10]
8/2.5
 
 = 80/25
 = 16/5
 = 3  1/5
4 0
3 years ago
A 100-point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response
Alex17521 [72]

Answer: 3x+8y=100

x+y=20

x=12

y=8

Step-by-step explanation: x would represent the number of multiple choice questions and y would represent the number of short response questions. the multiple choice questions were 3 points meaning that you need to find x. the short answer response questions were 8 points meaning you need to find y. altogether you need to get 100 points. for the second equation you have 20 questions that need to be both multiple choice and short response. therefore the second equation would be x+y=20. if you solved this, the answer would be that x equals 12 and y equals 8. hope this helped! :))

3 0
3 years ago
PLEASE HELP ME PLEASE
Ray Of Light [21]

Answer:

The computer loses 50%, percent of its value each year.

Step-by-step explanation:

See the graph attached.

A computer is sold for a certain price and then its value changes exponentially over time.

It is clear from the graph that at t = 0, the price was $500, then at t = 1 year, the price was $250 and at t = 2 years, the price was $125 and at t= 3 years, the price was $62.5 and so on.

Therefore, the computer loses 50%, percent of its value each year. (Answer)

5 0
3 years ago
A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t
Darya [45]

Answer:

120960

Step-by-step explanation:

Given that a  librarian has a set of ten different books, including four different books about Abraham Lincoln.

The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.

First arrnage the 6 other books in the shelf.  

This can be done in                                        6! ways

Now arrange the 4 books of Lincoln      

This can be done in                                        4! ways

Now we have 7 places to insert Lincoln books including two corners and in between.

Thus this can be done in 7 ways

Total no of ways = 6!(4!)(7) = 120960

3 0
3 years ago
A=?<br><br> b=?<br><br> C =?<br><br> Can someone tell me the answer please
beks73 [17]

Answer:

Below.

Step-by-step explanation:

a = 37 degrees ( vertical angle to 37 )

c = 180 - 37 = 143 degrees (adjacent angles add up to 180).

b = 180 - 37 - 109 = 34 degrees   (angles in a triangle sum to 180 degrees).

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to a and b?
    11·1 answer
  • A triangle has sides with lengths of 5x -7, 3x -4, and 2x -6. What is the perimeter of the triangle?
    8·1 answer
  • the teacher said there was about a one in a million chance of obtaining a perfect score by guessing on a test where all question
    13·1 answer
  • Is 41/50 closer to 9/11 or 10/11? Verify your answer
    7·1 answer
  • You are choosing 3 of your 8 trophies and arranging them in a row on a shelf.
    11·1 answer
  • Can you help me please?
    6·2 answers
  • A teacher has found that the probability that a student studies for a test is 0.610.61​, and the probability that a student gets
    5·1 answer
  • What is the equation of the circle shown below?​
    15·1 answer
  • The box plots show the grades of two different students in Ms.
    8·1 answer
  • 7 - (63/9) to the power of 2 divided by 7
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!