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
Katyanochek1 [597]
3 years ago
7

Find the quotient write your answer in the simplest form !

Mathematics
2 answers:
Mrrafil [7]3 years ago
6 0

Answer:

The answer is B)  \frac{2x-3}{2x+1}

Step-by-step explanation:

Step 1: First we have to factorize the each rational expressions.

\frac{4x^2 - 9}{6x^2 + 13x + 6} ÷\frac{4x^2 - 1}{6x^2 + x -2}

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

Now we can cancel out (2x + 3) and (2x -1) since they are common factor both in the numerator and the denominator, so we get

= \frac{2x - 3}{3x + 2} ÷\frac{2x + 1}{3x + 2}

Step 2: If we have fraction over fraction, we can flip the second fraction and multiply.

= \frac{2x - 3}{3x + 2} x \frac{3x + 2}{2x + 1}

Now we can cancel out (3x + 2), so we get

= \frac{2x-3}{2x+1}

Thefore, the answer is B.

Thank you.

BlackZzzverrR [31]3 years ago
4 0

Answer:

Second choice

Step-by-step explanation:

If we factor all the numerators and denominators we get

(2x - 3)(2x + 3)       (2x - 1)(2x + 1)  

--------------------   ÷  -----------------

(2x + 3)(3x + 2)      (3x + 2)(2x - 1)


     2x - 3         3x + 2

=     --------   *    ---------   =       2x - 3 /  2x + 1   (answer) (second choice)

     3x + 2         2x + 1  

You might be interested in
if the unit price for oranges is $0.26 per pound and Jim pays $2.08 for oranges, how many puns of oranges does he buy? A) 4.5 po
Nata [24]
Hey there!

If the price per orange is $.26 and we want to know how many oranges he bought and we have our total, we can set o equal to how many oranges he got and set up an algebraic equation:

0.26o = 2.08

We multiply .26 by o because o is how many oranges he bought and that's what we're solving for- so we multiply by the unit price.

To isolate o, we divide both sides by .26 to get:

The answer is C- Jim bought 8 oranges.

Hope this helps!
4 0
3 years ago
Read 2 more answers
A letter is selected at random from each of the words, Sure and WIN. Find
Orlov [11]

Answer:

a) 1/8 b) 1/6

Step-by-step explanation:

b) 6/36 = 1/6

a) 1/2 x 1/2 x 1/2 = 1/8

7 0
2 years ago
Read 2 more answers
Name a number that has the same absolute value as 23
IRINA_888 [86]

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

6 0
2 years ago
Read 2 more answers
a cookie recipe calls 3 1/4 cups of flour. the recipe makes 3 dozen cookies. how much flour us needed to make 144 cookies
Mnenie [13.5K]

1 dozen = 12

144 / 12 = 12 dozen

12 dozen/ 3 = 4

They need 4 times the amount of flour:

3 1/4 x 4 = 13

They need 13 cups of flour

4 0
3 years ago
(x - 1)2 = 4<br> how do i do this
Gnoma [55]

Answer:

x = 3

Step-by-step explanation:

(x - 1)2 = 4

how to get this solved is very simple.

first step to apply is the BODMAS RULE

B..................... bracket

O..................... of

D.....................Division

M.................... multiplication

A..................... addition

S.................... Subtraction

so (x - 1)2 = 4

we have,

2x - 2 = 4 ( by opening the bracket)

collect the like terms

2x = 4+2

divide both sides by 2

2x/2 = 6/2

x = 3

to check if your answer is correct put the value of x = 3 into the question and see if the right hand side will equal to the left handside

(x - 1)2 = 4

(3-1)2=4

2(2)=4

4=4.............................. proved

8 0
4 years ago
Other questions:
  • Express (2-I) - (-1+3i) in the form of a + ib.
    5·2 answers
  • PLEASE HELPPPPPPPPPPPPPPP What electrical safety procedure is described below: If you are going to work on something electrical,
    14·2 answers
  • Baking a tray of chocolate chip cookies takes three cups of milk and two cups of flour. Baking a tray of oatmeal raisin cookies
    10·1 answer
  • Use the figure to complete the sentence.
    5·1 answer
  • CAN 10/12 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
    13·1 answer
  • 31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
    7·1 answer
  • A pyramid is made above a cuboid with measure 90cm×50cm×225cm. If the height of the pyramid including cuboid is 240cm, find the
    12·1 answer
  • Look at this sphere:
    14·1 answer
  • Evaluate the expression,<br> 52
    8·1 answer
  • Solve for x: 6x-a=c will give 100 pts and brainliest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!