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SOVA2 [1]
2 years ago
12

Select the point that is a solution to the system of inequalities. y≤2x-2 y≤ x²-3x

Mathematics
1 answer:
miss Akunina [59]2 years ago
7 0

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

1\leq 2^{2} -3(2) \implies 1\leq -2

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), 2\leq 2(4)-2 \implies 2\leq 6

2\leq 4^{2} -3(4) \implies 2\leq 4

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

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6 0
2 years ago
To gather information on customer satisfaction, a researcher randomly selects four store locations and interviews all the custom
Schach [20]

Answer:

This sampling technique is called cluster

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

The population is divided into groups(by stores), and all elements of the groups(all customers at the stores are sampled), which is the characteristic of a cluster sampling.

6 0
3 years ago
Solve 40 = 20 + 2(x-3)
Rom4ik [11]

Answer: 19x

Step-by-step explanation:Because if you add 22 and 2 and minus 3 and add the x you get your answer 19x

6 0
3 years ago
Read 2 more answers
What kind of symmetry does a cylinder have?
olasank [31]
Both sides are symmetrical by the length and the shape
4 0
3 years ago
Brooke's bedroom has an area of 36 square feet. The bedroom is 6 times as many square feet as Brooke's closet. If the closet is
denis23 [38]

Answer:

195

Step-by-step explanation:

Because 36 x 6 = 192 + 3 = 195

6 0
3 years ago
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