1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mandarinka [93]
3 years ago
11

Which system of linear inequalities has the point (2, 1) in its solution set?

Mathematics
2 answers:
neonofarm [45]3 years ago
7 0

Answer:

y\leq-x+3

y\leq \frac{1}{2}x+3

Step-by-step explanation:

we know that

If a point is a solution of a system of linear inequalities, then the point must satisfy both inequalities of the system

<u><em>Verify each system of inequalities</em></u>

case 1) we have

y ----> inequality A

y\leq \frac{1}{2}x+3 -----> inequality B

Verify if the ordered pair (2,1) is a solution of the system

<em>Inequality A</em>

1

1 ----> is not true

so

The ordered pair not satisfy the inequality A

therefore

The ordered pair is not a solution of the system of inequalities

case 2) we have

y\leq-\frac{1}{2}x+3 ----> inequality A

y< \frac{1}{2}x -----> inequality B

Verify if the ordered pair (2,1) is a solution of the system

<em>Inequality A</em>

1\leq-\frac{1}{2}(2)+3

1\leq2 ----> is true

so

The ordered pair satisfy the inequality A

<em>Inequality B</em>

1< \frac{1}{2}(2)

1< 1 -----> is not true

so

The ordered pair not satisfy the inequality B

therefore

The ordered pair is not a solution of the system of inequalities

case 3) we have

y\leq-x+3 ----> inequality A      

y\leq \frac{1}{2}x+3 -----> inequality B

Verify if the ordered pair (2,1) is a solution of the system

<em>Inequality A</em>

1\leq-(2)+3

1\leq 1 ----> is true

so

The ordered pair satisfy the inequality A

<em>Inequality B</em>

1\leq \frac{1}{2}(2)+3

1\leq 4 ----> is true

so

The ordered pair satisfy the inequality B

therefore

The ordered pair satisfy the system of inequalities

case 4) we have

y< \frac{1}{2}x ----> inequality A      

y\leq -\frac{1}{2}x+2 -----> inequality B

Verify if the ordered pair (2,1) is a solution of the system

<em>Inequality A</em>

1< \frac{1}{2}(2)

1< 1 ----> is not true

so

The ordered pair satisfy the inequality A

therefore

The ordered pair not satisfy the system of inequalities

asambeis [7]3 years ago
7 0

Answer:

Your answer is Graph 3

Step-by-step explanation:

Look at the picture I included.

It is this graph because:

- Graph D is incorrect because you cannot have a point on a dashed line

- Even though for Graph D the point (2, 1) has a solid and dashed line running through it, you cannot plot a point on a dashed line, regardless if there is another solid line running through it.

- For options A and B, (2, 1) lands on a dashed line

- Your answer is option C

- This is right on edg2020 and quizlet!

I hope this helps!

- sincerelynini

You might be interested in
The area of a rectangular shaped cake is 128 cm2. The width is 8 cm. What is the length of the cake?
SSSSS [86.1K]
Length of the cake is 16 cm. 
3 0
3 years ago
Read 2 more answers
On a coordinate grid, point A is located in the first quadrant. Point B is located at (2, - 1/2
Nookie1986 [14]

Answer:

It's where point B is at (2,0.5)

8 0
2 years ago
(7x+14) (15x-4) solve for x (20 points
Misha Larkins [42]

Answer:

The value of x .

7x-14= 15x

-14 =8x

x= -7/4

Step-by-step explanation:

sorry if im wrong

7 0
3 years ago
Write and graph an equation:
Alexxandr [17]

Answer:

y=29*x

Step-by-step explanation:

This problem is a linear function problem. We need at least two points to solve it. After finding two points we will compute the slope and then us the point-slope formula.

If you put 11 gallons of gasoline in your car it will allow you to drive 319 miles, this means that when x= 11 then, y=319. So the first point is (11,319). For the second point you now that if you have no gallons of gasoline then you won't be able to drive so, the second point is (0,0).

Now that we have to points we are able to compute the slope. The formula for the slope is:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

this way

m = \frac{0-319}{0-11}.

m = 29.

Now that we have the slope, we can use the point-slope formula to get the equation. The point-slope formula is:

(y-y_{1}) = m(x-x_{1}) (here it doesn't matter which point you use, you will get the same result).

Substituting the point (11,319) and the slope:

(y-319) = 29(x-11)

y-319 = 29x-319

y = 29x

And we finaly get the equation!

6 0
3 years ago
Taylan is making a line plot of these dragonfly lengths. How many marks should Taylan make above 3 in the line plot? Dragonfly L
aalyn [17]

Answer:

Taylan should make 2 marks above the 3 1/4 in the line plot.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • PLEASE HELP ASAP 25 POINTS
    8·2 answers
  • Three and two third divided by two
    13·1 answer
  • The height of a 12-year-old boy increased by 17% last year and by 12% this year. What is the total increase in percentage terms?
    15·1 answer
  • A salesperson earns $200 a week plus 4% commission on her sales. Which equation models the relationship between her sales in a g
    12·2 answers
  • The number 18 is which percent of 15?<br>A 80% <br>B 83%<br>C 117%<br>D 120% ​
    14·1 answer
  • You got to find the surface area​
    11·1 answer
  • 7.5% sales tax on a $210 bracelet
    10·2 answers
  • Square root of 55 to the nearest integer
    8·2 answers
  • Help..................
    8·1 answer
  • Prove that 25^9+5^17is divisible by 30
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!