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blagie [28]
3 years ago
15

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

Mathematics
2 answers:
creativ13 [48]3 years ago
3 0
For it to be a solution, it has to satisfy both inequalities.

using (5,-2)...x = 5 and y = -2

4x + y > 3
4(5) - 2 > 3
20 - 2 > 3
18 > 3.....correct

x - y > 2
5 - 2 > 2
3 > 2....correct

 solution is (5,-2)



marishachu [46]3 years ago
3 0

Answer:

Option D.

Step-by-step explanation:

The given system of inequalities are

4x+y>3

x-y>2

We need to find a solution for the following system of inequalities.

Check each point by these inequalities.

For (-2,-2)

4(-2)+(-2)>3\Rightarrow -10>3 False

So, (-2,-2) is not included in the solution set.

For (1,-5)

4(1)+(-5)>3\Rightarrow -1>3 False

So, (1,-5) is not included in the solution set.

For (0,0)

4(0)+(0)>3\Rightarrow 0>3 False

So, (0,0) is not included in the solution set.

For (5,-2)

4(5)+(-2)>3\Rightarrow 18>3 True

(5)-(-2)>2\Rightarrow 7>2 True

Both inequalities are true for the point (5,-2). So, the point (5,-2) is a solution for the following system of inequalities

Therefore, the correct option is D.

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A chicken farmer also has cows for a total of 30 animals, and the animals have 66 legs in all. How many chickens does the farmer
hammer [34]

Answer:

27 chickens

Step-by-step explanation:

A chicken farmer also has cows for a total of 30 animals

Both animals have a total of 66 legs

Let a represent the number of chicken

Let b represent the number of cows

a + b= 30........equation 1

Since a chicken has only two legs and a cow has four leg then, the expression can be represented as

2a + 4b= 66........equation 2

From equation 1

a + b= 30

a = 30-b

Substitute 30-b for a in equation 2

2a + 4b= 66

2(30-b) + 4b= 66

60 - 2b + 4b= 66

60 + 2b= 66

2b= 66-60

2b= 6

b= 6/2

b= 3

Substitute 3 for b in equation 1

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a + 3=30

a= 30-3

a= 27

Hence the farmer has 27 chickens

5 0
3 years ago
3. There are 124 acorns laying on the ground in your yard, it is predicted that the number of acorns will
Gennadij [26K]

Answer:

507,409

Step-by-step explanation:

if every 5 days the number quadruples (x4), and we want to know how many acorns fall after 30 days, we can divide 30 by 5 so we only have to calculate for the amount of time the take to quadruple.

30 ÷ 5 = 6

so we only have to quadruple the acorns 6 times.

if we start off with 124 acorns, this is what it will look like:

Day 0: 124 acorns

Day 5: 124 x 4 = 496 acorns

Day 10: 496 x 4 = 1984 acorns

Day 15: 1984 x 4 = 7936 acorns

etc... until day 30.

Day 30: 507904 acorns

I hope this was helpful :-)

5 0
3 years ago
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Elanso [62]
The answer is 14.5 because :

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7 0
3 years ago
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NikAS [45]
The answer to this question of yours is B
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Elden [556K]

Answer:

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x=30

5 0
2 years ago
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