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Pachacha [2.7K]
3 years ago
14

(2^(3)*(-2)^(3)*3^(3))/(2^(3*2)*4^(4(-2))*8^(3))=?

Mathematics
1 answer:
TEA [102]3 years ago
7 0

Answer:

-3456

Step-by-step explanation

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Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?
Julli [10]

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3

Now that we have the value of x, plug it into either equation to solve for y:

3+3y=-12\\ 3y=-15\\ y=-5\\ \\ y=\frac{1}{3}*3-6\\ y=1-6\\ y=-5

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>
5 0
3 years ago
-
Jlenok [28]

Answer:

(x - \frac{5}{2} )² + \frac{7}{4}

Step-by-step explanation:

x² - 5x + 8

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 5x

x² + 2(- \frac{5}{2} )x + \frac{25}{4} - \frac{25}{4} + 8

= (x - \frac{5}{2} )² - \frac{25}{4} + \frac{32}{4}

= (x - \frac{5}{2} )² + \frac{7}{4}

5 0
2 years ago
Find the common ratio of the following geometric sequence:<br> 4, 8, 16,....
GarryVolchara [31]
Here is the formula and answer

4 0
3 years ago
How do i do this problem?
Ainat [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
11k - 8 = 11 + 8 ( k + 9 )
Alexus [3.1K]

Answer:

k = \frac{91}{3}

Step-by-step explanation:

Expand.

11k - 8 = 11 + 8k + 72

Simplify 11 + 8k + 72 to 8k + 83.

11k - 8 = 8k + 83

Add 8 to both sides.

11k + 8k + 83 + 8

Simplify 8k + 83 + 8 to 8k + 91.

11k = 8k + 91

Subtract 8k from both sides.

11k - 8k = 91

Simplify 11k - 8k to 3k.

3k = 91

Divide both sides by 3.

k = \frac{91}{3}

5 0
3 years ago
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