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just olya [345]
3 years ago
14

Which graph represents the following system of inequalities.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
4 0

Answer: Graph C is correct

Step-by-step explanation:

The region below the dashed red line is y < 4/3x +2

The region below the solid purple line is y ≤ -1

The region below and left of the solid green line is y ≤ -3x

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Are y = 6x + 9 and 27x – 3y = –81 parallel
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Factorise the following expression :​
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The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 45 more than the original num
Crank

Answer:

Step-by-step explanation:

Let the 10s digit = x

Let the units digit = y

x +y = 11                                   Sum of the digits = 11

10x + y + 45 = 10y + x             Reversed number is 45 more  than original #

10x - x + y + 45 = 10y              We subtracted x from both sides.

9x + y + 45 = 10y                    Subtract y from both sides.

9x + 45 = 10y - y                     Combine the right

9x + 45 = 9y

Put x +  y = 11 into the equation just found.

9x + 45 = 9(11 - x)                     divide through by 9

x + 45/9 = 11 - x                        add x to both sides

2x + 5 =     11                            Subtract 5 from both sides

2x = 11 - 5

2x = 6                                       Divide by 2

x = 6/2

x = 3

x + y = 11

3 + y = 11        

y = 11 - 3

y = 8

Now check it out.

the original number is 38

the new number is 83 which the digits are reversed.

83 - 38 = 45 just as it should.  

6 0
3 years ago
Distribute<br> 5(-4x+6) pls help!!
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Answer:

-20x+30

Step-by-step explanation:

Here ya go. Hope I helped

6 0
3 years ago
Read 2 more answers
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