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oksian1 [2.3K]
3 years ago
14

Factor x2 + xy - 2x - 2y.

Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

(X-2)(x+y)

Step-by-step explanation:

So we can factor X out, x(x-2) and factor y out y(x-2). Now we can factor out the x-2, so we have (x-2)(x+y)

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Can someone PLZZZZ HELP!!!!
swat32

Answer:

The solution is:

Part A. \sqrt{5}^{\frac{7k}{3}}) which is sqrt(5)^7k/3[/tex]

Part B. k = 18/7

Step-by-step explanation:

Part A.

To solve this part, we're going two use THREE important properties of exponents:

1. (x^{n})^{m} = x^{nm}

2. \frac{x^{n}}{x^{m}} = x^{n-m}

3. \sqrt[n]{x^{m}} = x^{\frac{m}{n} }

Let's work the numerator using the properties 1, 2 and 3:

(\sqrt{5}^{3} )^{\frac{k}{9} } }  = (\sqrt{5}^{3\frac{k}{9}}) = (\sqrt{5}^{\frac{k}{3}})

Let's work the denominator using the properties 1, 2 and 3:

(\sqrt{5}^{6} )^{-\frac{k}{3} } }  = (\sqrt{5}^{6\frac{k}{3}}) = (\sqrt{5}^(2k))

Now dividing the numerator by the denominator:

\sqrt{5}^{\frac{k}{3}-(-2k)})=\sqrt{5}^{\frac{7k}{3}})

Part B

if 5^{\frac{3}{2} } 5^{\frac{3}{2}} = \sqrt{5}^{\frac{7k}{3}})

Then:

5^{3} = 5^{\frac{7k}{6}})

So \frac{7k}{6}} = 3

Solving for k, we have:

k = 18/7

7 0
4 years ago
NEED HELP ASAP!
galina1969 [7]

9514 1404 393

Answer:

  • lamp: $80
  • end table: $140

Step-by-step explanation:

If we let x and y represent the costs of a lamp and end table, respectively, the two purchases can be written as ...

  3x +2y = 520

  2x -y = 20

__

These equations can be solved many ways. If we use "elimination", we can add twice the second equation to the first to eliminate y:

  (3x +2y) +2(2x -y) = (520) +2(20)

  7x = 560 . . . . simplify

  x = 80 . . . . . . divide by 7

  y = 2x -20 = 2(80) -20 = 140

The cost of a lamp is $80; the cost of an end table is $140.

6 0
3 years ago
What is 1/12x(4+6x3)-9?
sertanlavr [38]
Your answer is -43/6

1/12(4+6x3)-9
=1/12(22)-9
=11/6-9
=11/6-54/6
=-43/6
6 0
3 years ago
2 5/8 -1 1/4 fraction
muminat

Answer:

11/8 or 1 3/8

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
Which means the sum of w and 3.4 is greater than or equal to 10.5?
DochEvi [55]
Sounds that you have several answer choices.  If that's the case, you need to share those choices.  All of them are probably inequalities.
5 0
3 years ago
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