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makkiz [27]
3 years ago
5

Which of the options is a solution for the following system of inequalities

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0

Answer:

(5, - 2)

Step-by-step explanation:

2x+y>3

x-y>1

2x + y > 3 - - - - (1)

x - y > 1 - - - (2)

Using trial and error method :

Using :

(5,-2)

2x + y > 3

2(5) + (-2) > 3

10 - 2 > 3

8 > 3 (true)

x - y > 1

5 - (-2) >1

5 + 2 > 1

7 > 1 (True)

For 0,5

2x + y > 3

2(0) + (5) > 3

0 + 5 > 3

5 > 3 (true)

x - y > 1

0 - (5) >1

-5 > 1

--5 > 1 (false)

Also, all other options do not hold true for bitb inequality statements, hence answer is (5, - 2)

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A croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccol
rjkz [21]

Answer:

27405

Step-by-step explanation:

There are 6 different variants available for each croissant. There are 26 croissants in all out of which 1 is plain. We use combination and permutation technique to identify different ways to choose croissant.

[5 + 26 - 1 ] 26 = 30C26 = 27405.

5 0
2 years ago
AB=4x+3 and CD=24+5x find bc
madam [21]

Answer:

Step-by-step explanation:

1. use distribution factor

(4x+3)(24+5x)

4x times 24 = 96

4x times 5x = 20x

3 times 24 = 72

3 times 5x = 15x

2. combine like terms

96 + 72 = 168

15x + 20x = 35x

35x + 168 or 168 + 35x

I may be wrong please check my answer. I may have a lapse in my algebra, or I may have misunderstood the problem. But this is what I can give you to the best of my knowledge.

6 0
3 years ago
A school has a new flag that must be flown at last 52 feet high The current flagpole is 14 m tall How many meters taller does th
ohaa [14]
To start with, convert 52 feet into metres
1 Feet= 0.3048
52 feet= ?
The number of meters= 52*0.3048
The number of meters= 15.8496 metres

The school need to add a further 1.8496 metres
6 0
3 years ago
The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b).<br> What are the values of a and b?
victus00 [196]

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

In this question we need to solve the linear equation for each point, first for (x,y) = (b, 1) and later for (x,y) = (a, b).

If we know that (x,y) = (b, 1), then the value of b is:

6 = 30-8\cdot b

8\cdot b = 24

b = 3

If we know that (x,y) = (a, b) and b = 3, then the value of a is:

6\cdot b = 30 - 8\cdot a

18 = 30-8\cdot a

12 = 8\cdot a

a = \frac{3}{2}

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

6 0
2 years ago
Ricky is playing a racing game on PS5.
stepan [7]

Answer:

192 points

Step-by-step explanation:

he earned 120 points for passing 6 levels and getting 20 points per level

he earned 72 points for racing 45 laps and getting 24 points per every 15 laps

8 0
3 years ago
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