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nikitadnepr [17]
3 years ago
13

Solve the compound inequality -6<2x-4<12​

Mathematics
1 answer:
ch4aika [34]3 years ago
4 0

Add 4 to the whole equation

-6 + 4 < 2x < 12 + 4

Simplify

-2 < 2x < 16

Divide the whole equation by 2

-1 < x < 16/2

Simplify

<u>= -1 < x < 8</u>

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Answer:

14 depth per minute

Step-by-step explanation:

84/6 = 14

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Factorise 2xsquared X 7x +3
Monica [59]

Answer:

 (-2x - 1) • (x + 3)

Step-by-step explanation:

3.2     Factoring  2x2 + 7x + 3

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +7x  its coefficient is  7 .

The last term, "the constant", is  +3

Step-1 : Multiply the coefficient of the first term by the constant   2 • 3 = 6

Step-2 : Find two factors of  6  whose sum equals the coefficient of the middle term, which is   7 .

     -6    +    -1    =    -7

     -3    +    -2    =    -5

     -2    +    -3    =    -5

     -1    +    -6    =    -7

     1    +    6    =    7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  6

                    2x2 + 1x + 6x + 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x+1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (2x+1)

            Which is the desired factorization

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Suppose an angle measuring "1 Gip" subtends an arc that is 1/15th of the circumference of any circle centered at its vertex, and
Kruka [31]

Answer:

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(b) 5.82 Quips

Step-by-step explanation:

(a)

(i) 1 Gip = 1/15 of a circumference

8 Gips = 8 × 1/15 of a circumference = 8/15 of circumference

(ii) 1 Gips = 1/15 of a circumference

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1 Gip = 9/15 Quips

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Answer:

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Step-by-step explanation:

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B : a 20% increase in variable costs

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