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pickupchik [31]
3 years ago
14

HELP PLEASE I DONT KNOW THIS ONE

Mathematics
2 answers:
DaniilM [7]3 years ago
4 0

Answer:

-3x^2 +7x -4

-------------------------------

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

Step-by-step explanation:

2              3x

--------   - ----------

X^2-9    x^2 -5x+6

Factor

2                 3x

--------   -      ----------

(x-3)(x+3)   (x-3)(x-2)

Get a common denominator

2  (x-2)               3x(x+3)

--------   -             ----------

(x-3)(x+3)(x-2)   (x-3)(x-2)(x+3)

2x-4  - (3x^2 -9x)

-------------------------------

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

Distribute

2x-4  - 3x^2 +9x

-------------------------------

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

Combine like terms

-3x^2 +7x -4

-------------------------------

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

snow_lady [41]3 years ago
4 0

\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}

  • \sf{\dfrac{2}{ x^2-9}-\dfrac{3x}{x^2-5x+6}}

  • \sf{\dfrac{2}{ (x)^2-(3)^2}-\dfrac{3x}{x^2-2x-3x+6}   }

  • \sf{\dfrac{2}{(x+3)(x-3)}-\dfrac{3x}{x(x+2)-3(x+2)}   }

  • \sf{\dfrac{2}{(x+3)(x-3)}-\dfrac{3x}{(x+2)(x-3)}}

  • \sf{\dfrac{2(x-2)-3x(x+3)}{(x+3)(x-2)(x-3)} }

  • \sf{\dfrac{2x-4-(3x^2-9x)}{(x+3)(x-2)(x-3) }}

  • \sf{\dfrac{2x-4-3x^2+9x}{(x+3)(x-2)(x-3) }}

  • \sf{\dfrac{-3x^2+7x-4}{(x+3)(x-2)(x-3) }}

\sf{   }

\sf{   }

\sf{   }

\sf{   }

\sf{   }

\sf{   }

\sf{   }

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How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?
nordsb [41]

Answer:

A. 1562 numbers , B. 130 numbers

Step-by-step explanation:

<u>A)</u> Using same digit again

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 5  (ie any no) x 2 ( ie 4 ,6 )

Similarly

3 digit nos = 5 x 5 x 2

4 digit nos = 5 x 5 x 5 x 2

5 digit nos = 5 x 5 x 5 x 5 x 2

Adding all 5 equations

Total = 2 + 10 + 50 + 250 + 1250  = 1562

<u>B)</u> Cant use a digit more than once

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 4 ( ie any no other than 4 or 6) x 2  ( ie 4 , 6 )

Similarly

3 digit nos = 4 x 3 x 2

4 digit nos = 4 x 3 x 2 x 2

5 digit nos = 4 x 3 x 2 x 1 x 2

Adding all five equations

Total = 2 + 8 + 24 + 48 + 48 = 130

6 0
3 years ago
Find the fourth term of the geometric sequence ,given the first term and common ratio a1=8 and r=4
Rama09 [41]
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5 0
4 years ago
How many metres are there in ½ of ⅕ km​
Lorico [155]

Step-by-step explanation:

1/5=1/5×1000=200

1/2 of 200

1/2×200=100

5 0
3 years ago
Find the center, vertices, and foci of the ellipse with equation x squared divided by four hundred plus y squared divided by two
vivado [14]
To solve this problem you must apply the proccedure shown below:

 1. You have that the equation of the ellipse is the following:

 (x²/400)+(y²/256)=1

 2. You have that: 

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 3. Then, the center is: 

 (0,0)

 4. The vertices are:

 a²=400
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 a=20

 (-20,0)
 (20,0)

 b²=256
 b=√256
 b=16

 (0,-16)
 (0,16)

 5. The focci is:

 a²–c²=b²
 √(400-256)=c
 c=12

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5 0
4 years ago
21
m_a_m_a [10]
The standard form of linear equations is Ax + By = C where A and B ≠ 0, and A is non-negative.

Therefore, the correct answer is A) 6x - 7y = 8
6 0
3 years ago
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