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fiasKO [112]
3 years ago
8

Write your answer in order of decreasing powers of x. (18x 5 + 6x 4 - 12x 3) ÷ 6x 2

Mathematics
2 answers:
miv72 [106K]3 years ago
8 0
\frac{18x^5 +6x^4 - 12x^3}{6x^2} = \frac{(6x^2)(3x^3 +x^2 - 2x)}{6x^2} = 3x^3 +x^2 - 2x
Dvinal [7]3 years ago
5 0
The answer is:  " 3x³ + x² − 2x " .
________________________________________________________
Explanation:
_________________________________________________________

Take the first expression; or the "numerator" ; 

and  "factor out"  a:  " 6x² " :
___________________________________________________________
 
 \frac{18x^5+6x^4-12x^3}{6 x^{2} } = \frac{6x^2(3x^3+x^2-2x)}{6x^2}  ;

→  Both  " 6x² " values "cancel out to 1" ;  

     →  since:  " { 6x² / 6x² = 1 } " ; 

And we have:   " 3x³ + x² <span>− 2x " . 
</span>________________________________________________________
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The length of a rectangle is 6 feet more than three times the width of the
Nesterboy [21]

Answer:

<h2>width = 6 feet</h2>

Step-by-step explanation:

let l be the length of the rectangle

let w be the width of the rectangle

The statement

The length of a rectangle is 6 feet more than three times the width of the

rectangle is written as

l = 6 + 3w

From the question

l = 24 feet

Substitute the value into the above formula and solve for the width

That's

24 = 6 + 3w

3w = 24 - 6

3w = 18

Divide both sides by 3

w = 6

Therefore

<h3>width = 6 feet</h3>

Hope this helps you

3 0
3 years ago
Determine the value of the first term and write a recursive definition for the following
Marysya12 [62]
It is just counting by 5.
5 0
2 years ago
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kipiarov [429]
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8 0
3 years ago
Anybody wanna explain this to me?
Vinvika [58]
Sure

Original Equation:
[-5x-16=9x+x-1]

Solve:
[-5x-16=10x-1]

Add (16) to both sides of the equation:
[-5x=10x+15]

Subtract (10x) from both sides:
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Divide (-15) from both sides:
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4 0
3 years ago
The area of a square is 676 square yards how long is each side of the square
kogti [31]
So basically what you want to do is square root this, since to find the area of a square from the side length, you square it, (x * x, because the area for a quadrilateral is base * height, and a square has the same length of sides).

So there is no way to properly square root a number unless you memorize it. However, what you can do, is look at the last digit and make an approximation, at which two numbers multiply together to have a last digit of 6.

So, 4 * 4 and 6 * 6 are the two that square to have a last digit of 6.

(1: 1, 2: 4, 3: 9, 4: 6, 5: 5, 6: 6, 7: 9, 8: 4, 9: 1, 0: 0) If that makes any sense.

So basically the square root has to end with 4 or 6.

Now, you can just approximate. It would be over 20, because 20 squared (20 * 20) is equal to 400. But it would be under 30, because 30 squared is 900.

So the two possible numbers are 24 and 26.

If you square both of them, you find that:

24 squared = 576

26 squared = 676

So therefore 26 is the square root of 676, so therefore one side is 26 yards.

Hope this weirdly long explanation helped :)
 
4 0
2 years ago
Read 2 more answers
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