Answer:
<em><u>1=</u></em><em><u> </u></em> 237
<em><u>2=</u></em> 200
<em><u>3</u></em><em>= </em>49
<em><u>4=</u></em> 50
<em>I'm </em><em>99% </em><em>sure these are right.</em>
<em> --------------------------------------------------------</em>
<em> </em><u><em>please let me know if </em></u><u>any are wrong.</u>
<h2> Have a good day<3</h2><h2></h2><h2> </h2>
Answer:
Choice A. (10, -1)
Choice B. (-8, 9)
Choice D. (6, -3)
Step-by-step explanation:
If we plug the coordinates of point A into the inequality, then we get,
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
The number of ways in which you can win first prize and your mom went the second prize will be 8. Then the correct option is D.
<h3>What are permutation and combination?</h3>A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
You and your mom enter the drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing.
Then the number of the ways in which you can win first prize and your mom went the second prize will be
Let x be the number of different ways.
Then we have
Thus, the number of ways in which you can win first prize and your mom went the second prize will be 8.
More about the permutation and the combination link is given below.
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