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
Goshia [24]
3 years ago
13

Which point would be a solution to the system of linear inequalities ?

Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer:

(12,-6)

Step-by-step explanation:

we have

y\leq \frac{4}{3}x+5 ----> inequality A

y\geq -\frac{5}{2}x+5 ---> inequality B

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)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y  of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

-1\leq \frac{4}{3}(0)+5

-1\leq5 ----> is true

Inequality B

-1\geq -\frac{5}{2}(0)+5

-1\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

3\leq \frac{4}{3}(0)+5

3\leq5 ----> is true

Inequality B

3\geq -\frac{5}{2}(0)+5

3\geq 5 ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

-6\leq \frac{4}{3}(-6)+5

-6\leq-3 ----> is true

Inequality B

-6\geq -\frac{5}{2}(-6)+5

-6\geq 20----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

-6\leq \frac{4}{3}(12)+5

-6\leq21 ----> is true

Inequality B

-6\geq -\frac{5}{2}(12)+5

-6\geq -25 ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

You might be interested in
Help plz due very soon
mamaluj [8]
X= 3 is your answer
7 0
2 years ago
Read 2 more answers
This chart shows the cost per pound of different fruits.
IgorLugansk [536]

Answer

B

Step-by-step explanation:

Sorry If its wrong

6 0
3 years ago
Read 2 more answers
GIVING 30 POINTS!!!!!!!
Ede4ka [16]

Answer:

MEAN

Step-by-step explanation:

Have a Great Day!

7 0
2 years ago
Read 2 more answers
Determine the​ value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [Start 2 By 3 Matrix 1s
Leni [432]

Answer: h = 9

Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.

The matrix given is:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]

Transform this matrix in a row-echelon form:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]   R_{2} = 3R_{2}+R_{1} \left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]

For this row-echelon form to have solutions:

-9 + h = 0

h = 9

For this system to be consistent: h = 9.

3 0
3 years ago
Please help I will mark as brainliest
MrMuchimi

Answer:

no

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Please help me on this guy please
    6·1 answer
  • 4.5 - (2.5x - 12.5)<br><br> 1.)2.5x-8<br> 2.)2.5+17<br> 3.)-2.5+7<br> 4.)-2.5-8
    10·2 answers
  • Point P is the center of the circle that is circumscribed around the triangle. What does point P represent with regard to the tr
    13·2 answers
  • Please Help!! <br> Thank you!!
    9·1 answer
  • Determine which postulate or there and can be used to prove that triangle SEA is congruent to triangle PEN
    6·1 answer
  • Look at the figure classify the pair of angles: &lt;4 and &lt;5.
    11·2 answers
  • Draw a model to represent 12 divided by 3
    11·1 answer
  • The diameter of a circle is 2 inches. What is the circle's circumference? d=2 in
    7·1 answer
  • If a=b-2x/x+c,then what is the value of x in terns of a,b &amp; c ?​
    11·1 answer
  • Enter the value of n =<br> Enter the value of m =<br> Enter the value of x =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!