The two equations are equal, so "The graphs of the equations are parallel lines." is false.
Let's go through each of the given points and plug in the coordinates
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Plug in (x,y) = (-2,-5)
5x + 5y > 45
5(-2) + 5(-5) > 45 ... replace x with -2; replace y with -5
-10 - 25 > 45
-35 > 45
The last inequality is false, so (-2,-5) is not in the solution set.
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Plug in (x,y) = (0, 10)
5x + 5y > 45
5*0 + 5*10 > 45
0 + 50 > 45
50 > 45
The last inequality is true so (0,10) is in the solution set
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Plug in (x,y) = (5,8)
5x + 5y > 45
5*5 + 5*8 > 45
25+40 > 45
65 > 45
The last inequality is true so (5,8) is in the solution set
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Plug in (x,y) = (8,-3)
5x + 5y > 45
5*8 + 5*(-3) > 45
40 - 15 > 45
25 > 45
The last inequality is false, so (8,-3) is not in the solution set
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Summary: The points (0, 10) and (5,8) are in the solution set
Check out the attached image to see a visual representation of this.
Notice how point B and point C are in the red shaded region.
Answer:
well the sum of all the fraction combined are 2.05, so you could fill 2 1/2 drawers. So technically you could use 3 drawers, but the 3rd one won't be full.
hope that helps
Answer: {2, -2, -6, -10}
Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.
To break it down:
The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:
-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2
Therefore does not follow the definition of an arithmetic sequence.
The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.
Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.
I hope this helped!