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Lynna [10]
3 years ago
7

Use factoring to simplify the expression x^2-x-6/x-3 assume that x does not equal 3

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0
This works out beautifully.  You COULD use long division here, but since your numerator is a quadratic, your first instinct should be to try and factor it.  If you factor it, it works out to be (x - 3)(x + 2).  Now it just so happens that when you do that, the (x - 3) in the numerator will cancel with the (x - 3) in the denominator leaving you with one sad and lonely (x + 2) as your answer.
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Kruka [31]

Answer:

 (A) 49

Explanation:

Given that the fractions are in their simplest form. So below the denominator cannot be a multiple of 3, 4, 5.

Breakdown:

Looking at option A (49), it is not a multiple of 3, 4, 5. So k can be 49.

Option B (50) is a multiple of 5. An even number like 4 so can be simplified.

Option C (51) is a multiple of 3 so can be simplified more. 3/51 = 1/17.

Option D (52) is an even number like 4 so can be simplified. 4/52 = 1/13.

4 0
1 year ago
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kati45 [8]
0.45 I PROmise !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
6 0
3 years ago
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Using x as the variable, write a formula to find the perimeter of the figure. Use the formula to find the perimeter. a regular d
Mamont248 [21]

Answer:

c. 12x; 111 cm

Step-by-step explanation:

The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:

p=12 \cdot x

and if we substitute x = 9.25 cm, we find

p=12 \cdot 9.25 cm=111 cm

6 0
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andrezito [222]
$20×.25=$5
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$17.25 is your answer
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-14
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21
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