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Nina [5.8K]
11 months ago
15

Which point is a solution to the system of inequalities below?

Mathematics
1 answer:
vodomira [7]11 months ago
7 0

The ordered pair which is a solution to the given inequality is: C. (2, 1).

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

Next, we would test the ordered pair with the given inequality to determine a solution as follows:

For ordered pair (4, 4), we have:

3x + 2y < 15

3(4) + 2(4) < 15

12 + 8 < 15

20 < 15 (False).

For ordered pair (3, 3), we have:

3x + 2y < 15

3(3) + 2(3) < 15

9 + 6 < 15

15 < 15 (False).

7x - 4y > 9

7(3) - 4(3) > 9

21 - 12 > 9

9 > 9 (False)

For ordered pair (2, 1), we have:

3x + 2y < 15

3(2) + 2(1) < 15

6 + 2 < 15

8 < 15 (True).

7x - 4y > 9

7(2) - 4(1) > 9

14 - 4 > 9

10 > 9 (True)

For ordered pair (1, 0), we have:

3x + 2y < 15

3(1) + 2(0) < 15

3 + 0 < 15

3 < 15 (True).

7x - 4y > 9

7(1) - 4(0) > 9

7 - 4 > 9

3 > 9 (False)

Read more on inequality here: brainly.com/question/27166555

#SPJ1

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When two dice are rolled, what is the probability the two numbers will have a sum of 5?
ira [324]

When two dice are rolled, then possible outcomes are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Total possible outcomes = 36

In that, we count the ordered pairs that give us sum 5

(1,4) (2,3) (3,2) and (4,1) = 4 outcomes

Probability = (number of times the event occurs)/ (total number of outcomes)

P( sum of 5) = \frac{4}{36} = \frac{1}{9}

7 0
3 years ago
Pls help
zzz [600]
Answer: 40%

8+4+8 =20, there’s 8 tomato plants so 20/8=0.4
3 0
2 years ago
Please help, ill give brainliest, only if its right
alexira [117]

Answer:

it would be in the fourth quadrant, directly underneath where it is now. the base would be c and d

5 0
3 years ago
One number is six greater than another. if the sum of the two numbers is 44, find the numbers
mylen [45]

44-6=38/2=19+6=25+19=44

The numbers are 19 and 25

3 0
2 years ago
From a point 50m from the base of the Skylon Tower in Niagara Falls, the angle of elevation to the top of
VladimirAG [237]

Answer:

The tower is about 235 m.

Step-by-step explanation:

Let x be the height of the tower

tan θ = opp / adj

tan 78 °= x / 50

x = 50 tan 78 °

x = 235

∴ The tower is about 235 m.

Hope this answer helps you :)

Have a great day

Mark brainliest

8 0
3 years ago
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