All categories

4 years ago

Determine whether the point (3,3) is in the solution set of the system of inequalities below.

Mathematics

1 answer:

Radda [10]4 years ago

3 0

Answer:

The ordered pair is not a solution of the system D

explanation:

y < -3

y ≤ 2/3x - 4

y > -3

y ≥ 2/3x - 4

y < -3

y ≥ 2/3x - 4

y > -2

y ≤ 2/3x - 4

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each case

Case A) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system A

Case B) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is true

Inequality B

----> is true

therefore

The ordered pair is a solution of the system B

Case C) we have

----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system C

Case D) we have

y > -2 ----> inequality A

----> inequality B

Substitute the value of x and y of the point (3,-2) in both inequalities and then compare the results

Inequality A

----> is not true

therefore

The ordered pair is not a solution of the system D

You might be interested in

Help with comparisons?

notsponge [240]

I think 1 is =
2 is =
3 is >
4 is =
5 is =

But I am really not good at math, so I hope I got them right for you!

-Twix

3 0

4 years ago

What type of reaction is shown below? Check all that apply. 2Na + Cl2 → 2NaCl synthesis decomposition combustion

const2013 [10]

Answer: This is a type of Synthesis reaction.

Explanation:

Synthesis reaction is a type of chemical reaction in which two or more substances combine to form a single substance.

$A+B\rightarrow AB$

Decomposition reactions are a type of chemical reactions in which a substance breaks down into two or more substances.

$AB\rightarrow A+B$

Combustion reaction is a type of chemical reaction in which a hydrocarbon reacts with oxygen gas to produce carbon dioxide and water.

$Hydrocarbon+O_2\rightarrow H_2O+CO_2$

For the given reaction:

$2Na(s)+Cl_2(g)\rightarrow 2NaCl$

Here, 2 substances are combining together to form a single substance. Hence, it is considered as a synthesis reaction.

8 0

3 years ago

Read 2 more answers

In which of the expressions below will x = 4? Select all that apply.

ollegr [7]

Answer:

Step-by-step explanation:

6x- 3x + 6=18

6(4)- 3(4) + 6=18

24-12 + 6=18

12 +6=18

18=18

5 0

3 years ago

Suppose we want to test the claim that less than ½ of Americans are in favor of raising the voting age to 21. Is the hypothesis

d1i1m1o1n [39]

Two tailed ..? Lol I haven’t learned this yet but I am taking a guess what two tailed

4 0

3 years ago

!!!!!!!!!!!!!!!!!! help

Triss [41]

Answer:

option 1

Step-by-step explanation:

It's given in the question that

a (first term of an A.P.) = 14

d (common difference between terms of A.P.) = -3

So,

2nd term will be = a + d = 14 + (-3) = 11

3rd term = a + 2d = 14 + 2×(-3) = 8

4th term = a + 3d = 14 + 3×(-3) = 5

All these terms are matching with option 1. So, option 1 is the correct option

3 0

3 years ago