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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  

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Find the area of the isosceles trapezoid below by using the area formulas for rectangles and triangles.
marusya05 [52]
The area of the isosceles trapezoid is 136 cm2

To find the area of the trapezoid, first we need to make an exact triangle to the other side of the trapezoid, just like in the diagram is showing, ( so you will have 2 triangles in the trapezoid, thinks about that the triangle that is on the diagram is reflecting to the other side) then we have a rectangle on the center of the trapezoid, we use the area formula which is would be 8x13=104, then we take the area formula of the triangle and substitute, which would be (1/2)8x4=16, we multiply 16 by 2 to get 32, this would be the area of the two triangles plus the area of the rectangle which is 104 gives a total of 136 cm2

Hope this help!!! :)
5 0
3 years ago
Order of operations how do you solve 10/5*(7-2+4^2)
kvv77 [185]
10/5 =2
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3 0
3 years ago
Which point has coordinates (-3.5, 0)
azamat

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G.

Step-by-step explanation:

Because x is - 3.5 so you'll move 3,5 units to the left and y is 0 so 0 units up.

4 0
3 years ago
Read 2 more answers
2x^3 + x^2 – 7x – 6 divided by 2x +3
nevsk [136]

Answer:

x^2 -x -2

Step-by-step explanation:

Use polynomial long division.

           0 + x^2  -x  -2

           ___________________________________

(2x+3)  |  2x^3  +x^2  -7x  -6

           -2x^3  -3x^2

            _________

                      -2x^2 -7x

                      +2x^2  +3x

                       __________

                                   -4x  -6

                                    +2x  +6

                                   _______

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6 0
3 years ago
6/(x+1)-5/2=6/(3x+3)
jolli1 [7]
If you would like to calculate 6/(x+1)-5/2=6/(3x+3), you can do this using the following steps:

6/(x+1)-5/2=6/(3x+3)
6/(x+1)-5/2=6/(3(x+1))      /*(x+1)
6 - 5/2 * (x+1) = 6/3
6 - 2 = 5/2 * (x+1)
4 = 5/2 * (x+1)     /*2/5
4 * 2/5 = x + 1
8/5 - 1 = x
x = 8/5 - 5/5 = 3/5

The correct result would be 3/5.
6 0
3 years ago
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