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Genrish500 [490]
3 years ago
6

Explain why you can use a test point to determine which region or regions of the graph of an inequality should be shaded.

Mathematics
2 answers:
LenKa [72]3 years ago
5 0
A curve divides a plane into two areas, one satisfying the inequality (shaded) and one that does not (unshaded). So we can pick a point on either side (not on the curve itself) and substitute its x- and y-coordinates into the inequality. If the substituted values make the inequality true, then that point is in the shaded area. Otherwise, that point is in the unshaded area.
r-ruslan [8.4K]3 years ago
3 0
<h2>Answer with explanation:</h2>

We should use a test point to determine the region or regions of the graph of an inequality should be shaded because by plotting an inequality the graph is divided into two regions : one which lie in feasible region and the other does not .

Now in order to check the feasible region we start by taking a test point and see whether it makes the inequality true or not.

  • If it does not makes the inequality true then that region is not shaded and other is shaded.
  • If it satisfy the inequality then the region containing that point is shaded.
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The amount of time it takes to cook a turkey increases with the weight of the turkey. it is recommended that you cook a 10-lb tu
nadezda [96]
Answer:
The weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Explanation:
1- Direct proportional means that when the weight of the turkey increases, the time required to cook it increase with the same amount, and vice versa
2- Inverse proportional means that when the weight of the turkey increases, the time required to cook it decrease, and vice versa
2- No proportionality relation means that the two are not related to each other.

Now, for the given problem, we are given that:
i. 10lb turkey takes 3 hours to cook
ii. an additional 12 minutes is added for every extra 1lb of turkey

Therefore:
If we have 10lb turkey ......> time required = 3 hr
If we have 11lb turkey .......> time required = 3 hr + 12 min
If we have 12lb turkey .......> time required = 3 hr + 12 min + 12 min
If we have 13lb turkey .......> time required = 3 hr + 12 min + 12 min + 12 min
Noticing the pattern, we can find that:
time required to cook the turkey increases as the weight of the turkey increases but not at the same rate.
This means that when the weight of the turkey is doubled, the time increases, however, it is not doubled.
This means that the weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Hope this helps :)



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