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kogti [31]
4 years ago
14

Factor the expression 8x3y − 8x2y − 30xy. 8x3y − 8x2y − 30xy

Mathematics
1 answer:
Lelu [443]4 years ago
6 0

Answer:

  2xy(2x +3)(2x -5)

Step-by-step explanation:

The greatest common factor of the coefficients 8 and 30 is 2. All of the variable expressions have a common factor of xy. We can factor those out to get ...

  = (2xy)(4x^2 -4x -15)

Now, we want to find factors of the product (4)(-15) that have a sum of -4 (the x coefficient). Those factors are 6 and -10. Then we can rewrite the quadratic factor as ...

  4x^2 +6x -10x -15

and factor by pairs:

  = 2x(2x +3) -5(2x +3) = (2x -5)(2x +3)

The complete factorization is then ...

  = 2xy(2x +3)(2x -5)

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Um i think 2yyyy =f 3x-6

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4.5x+ 7/9 x+2 1/3 + 1/6 x=5 1/18<br> What is the answer?? How would you solve it?? Please help!!
Travka [436]
18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.

(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify

Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2

The solution is x = 1/2.

_____
You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
  (4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
  (49/9)x + 7/3 = 91/18
  (49/9)x = 49/18 . . . . . . . subtract 7/3
  x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.
7 0
4 years ago
Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord
masya89 [10]

Answer:

150

Step-by-step explanation:

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4 0
3 years ago
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neonofarm [45]

Answer:

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Step-by-step explanation:

(x⁴ + x)^½

As x approaches infinity, x⁴ becomes much larger than x.  So:

(x⁴ + x)^½ ≈ (x⁴)^½ = x²

So x² grows at the same rate as (x⁴ + x)^½.

6 0
3 years ago
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