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iren2701 [21]
3 years ago
13

3x+6/x^2-x-6+2x/x^2+x-12

Mathematics
1 answer:
Tanzania [10]3 years ago
6 0
\dfrac{3x+6}{x^2-x-6} +  \dfrac{2x}{x^2+x-12}

= \dfrac{3(x+2)}{(x + 2)(x - 3)} +  \dfrac{2x}{ (x - 3)(x + 4)}

= \dfrac{3}{(x - 3)} +  \dfrac{2x}{ (x -3)(x + 4)}

= \dfrac{3(x+4)}{(x - 3)(x + 4)} +  \dfrac{2x}{ (x -3 )(x + 4)}

= \dfrac{3(x+4) + 2x }{(x - 3)(x + 4)}

= \dfrac{3x+12 + 2x }{(x - 3)(x + 4)}

= \dfrac{5x+12}{(x - 3)(x + 4)}



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Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an
marishachu [46]

Answer: x+x^2+x^3+x^4

Step-by-step explanation:

As per given,

Number of wives = x

Number of sacks = x (\text{Number of wives} )= x\times x = x^2

Number of cats = x(\text{Number of sack})= x \times x^2=x^3

Number of kits = x(\text{Number of cats} )=x\times x^3=x^4

Now , the total number of kits, cats, sacks, and wives going to St. Ives = x+x^2+x^3+x^4

Hence, the required ex[pression:  x+x^2+x^3+x^4

5 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Tasya [4]

The coordinates of point F are (15/4 , -5/2)

  • The coordinates of point G  = (-3/4 , -3)

<h3>What is the coordinates  about?</h3>

From the image attached:

AB divided into 4 similar parts, hence

  • E is the mid-point of AB
  • D is the mid-point of AE
  • F is the mid-point of EB

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1)  and B (x2 , y2), Then  x = (x1 + x2)/2 and that of  y = (y1 + y2)/2

Then lets solve for points E, F, D

Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then  E =[(-3 + 6)/2, (-1 + -3)/2]

         = (3/2 , -2)

Since  F is the mid-point of EB,

         E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

       = (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then  D = [(-3 + 3/2)/2 , (-1 + -2)/2]

           = (-3/4 , -3/2)

Note also that:

 BC is said to be an  horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then  y-coordinate of G is =  -3

Since DG ⊥ BC

Then DG =  vertical segment

So  G has similar x-coordinate of D

Then  The x-coordinate of G = -3/4

The  G = (-3/4 , -3)

Learn more about coordinate from

brainly.com/question/12481034

#SPJ1

6 0
1 year ago
Due today! PLEASE help! Find the value of x. A. 15 B. 28 C. 20 D. 40
marta [7]

Answer:

A- 15

Step-by-step explanation:

I think option no a is answer

6 0
2 years ago
The volume of a cube can be calculated using the formula V = s^3, where s is the side length. What is the volume of a cube with
kumpel [21]

Answer:

Volume of a cube with side length 1/3 of a meter = 1/27m^3

Step-by-step explanation:

Let

1 meter = m

V = s^3

Where,

V= volume of a cube

s= side length

s = 1/3 of a meter

= 1/3 × m

= 1/3m

V = s^3

= 1/3^3

= 1/3m * 1/3m * 1/3m

V = 1/27m^3

Volume of a cube with side length 1/3 of a meter = 1/27m^3

3 0
3 years ago
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max2010maxim [7]

Answer:

f(1)=2

Step-by-step explanation:

f(x) is 2 for all x in [-4,1]. Hence 2 is the answer

3 0
2 years ago
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