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lubasha [3.4K]
2 years ago
15

(2x³+4x²-x+8) / (x² + 3x + 2)

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0

\dfrac{2x^3+4x^2 -x+8}{x^2 +3x+2}\\\\\\=\dfrac{2x^3+6x^2+4x-2x^2-6x-4+x+12}{}\\\\=\dfrac{2x(x^2 +3x+2)-2(x^2 +3x+2)+x+12}{x^2 +3x+2}\\\\\\=\dfrac{2x(x^2+3x+2)}{x^2 +3x +2 }- \dfrac{2(x^2 +3x +2)}{x^2 +3x +2 } + \dfrac{x+12}{x^2 +3x+2}\\\\\\=2x-2 + \dfrac{x+2}{x^2 +3x +2}\\\\\\=2x-2 + \dfrac{x+12}{x^2 +2x +x +2}\\\\\\=2x-2 + \dfrac{x+12}{x(x+2) + x+2}\\\\\\=2x-2 + \dfrac{x+12}{(x+1)(x+2)}\\

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Nelly owns farm land that has an area of 4.2 × 102 acres. Each year, the farm produces 6.72 × 104 bushels of corn. What is the a
juin [17]

The average amount of corn produced per acre represented in scientific notation can be found using the below formula:

The \;average\; amount\; of\; corn\; per\; acre=\frac{Bushels \; of\; corn\; produced\; in\; farm}{Area\; of\; farm\; in\; acres}

We are given:

Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\;  \times \; 10^4 \; bushels

Substituting the above information in the formula, we get...

The \; Average\; amount\; of\; corn=\frac{6.72 \times 10^4}{4.2 \times 10^2} \\ \\ \frac{6.72}{4.2} \times \frac{10^4}{10^2}\; =\;   1.6 \times 10^{4-2}\; =\; 1.6 \times 10^2\\ \\

Conclusion:

The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn

The average amount of corn produced per acre represented in scientific notation is option B)1.6 \times 10^2bushels per acre

5 0
3 years ago
Read 2 more answers
Is -4 an even or odd numnber?
rewona [7]

Answer:

An even number

Step-by-step explanation:

Integers which are multiples of 2, are even numbers.

Integers which aren't multiples of 2, are odd numbers.

As integers can be positive and negative both, odd and even numbers also can be positive and negative.

7 0
4 years ago
Write the fact family. for 6, 4, 24
GarryVolchara [31]

4 \times 6 = 24 \\ 6 \times 4 = 24 \\ 24 \div 6 = 4 \\ 24 \div  4 = 6
That's it :3
8 0
3 years ago
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The ratio of 4:8 is equivalent to x:6, what is the value of x?
Dimas [21]

Answer:

x = 3

Step-by-step explanation:

Given

4 : 8 = x : 6, expressing in ratio form, that is

\frac{4}{8} = \frac{x}{6} ( cross-  multiply )

8x = 24 ( divide both sides by 8 )

x = 3

Thus 4 : 8 = 3 : 6

6 0
3 years ago
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The area of a square bedroom is 144 square feet. what is the length of one wall?
Rufina [12.5K]
The answer is:  "12 feet" .
________________________________
Note:  In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width. 

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given:  A = s² = 144 ft² ;

Solve for the positive value of "s" .
________________________________
  →  s² = 144 ft² ;  Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

  →   s = 12 ft.
_______________________________
The answer is:  12 ft.
_______________________________
6 0
3 years ago
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