All categories

3 years ago

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

When asked to find a number one-tenth as large as another number, what operation would you use? What about when asked to find a

kherson [118]

Apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

<u>Solution:</u>

Need to determine what operation is required to get one-tenth of a number and 10 times of a number

To get one tenth of a number, divide the number by 10.

For example to get one – tenth of 100, divide it by 10, we get 10 as a result.

$\frac{1}{10} \times 100 = 10$

To get ten times of a number, multiply the number by 10

For example 10 times of 10 = 10 x 10 = 100

Hence apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

6 0

3 years ago

Donna is in charge of planning a reception for 1800 people. He is trying to decide which snacks to buy. He has asked a random sa

Svet_ta [14]

55 people?? i think i got it correct !!!

7 0

4 years ago

What is represented by a pair of lowercase letters in a punnett square?

Viefleur [7K]

A pair of lowercase letters represents a recessive gene.

For further clarification, if needed... If the punnett square was for dark hair being dominant over blonde hair, the offspring that was represented by two lowercase letters in a punnett square would have a phenotype of blonde hair.

5 0

3 years ago

3.Solve for the the values of x by factoring

k0ka [10]

Answer:

x = 8 ; x = -3

Step-by-step explanation:

Sum = -5

Product = - 24

Factors = 3 , (-8)

x² - 5x - 24 = 0

x² - 8x + 3x - 3 * 8 = 0

x(x - 8) + 3(x - 8)= 0

(x - 8)(x + 3) = 0

x - 8 = 0 ; x + 3 = 0

x = 8 ; x = -3

3 0

3 years ago

Read 2 more answers

Quadrilateral ABCD is inscribed in this circle. what is the measure of angle C?

agasfer [191]

The answer to this is 62.

8 0

3 years ago