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
You have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?
Alexeev081 [22]

Answer:

Wouldn't it be 8?

Step-by-step explanation:

You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.

5 0
2 years ago
Read 2 more answers
Is 49 a perfect square yes or no
Romashka [77]

Answer:

Yes

Step-by-step explanation:

7 x 7 = 49

4 0
3 years ago
Read 2 more answers
Which of the following is a point-slope equation of a line that passes through
Mademuasel [1]

Answer:

The Answer is: y = -2/3x + 10/3

Step-by-step explanation:

Given points (-1, 4) and (8, -2) first find the slope:

m = (y - y1)/(x - x1)

m = (4 - (-2)) / (-1 - 8)

m = 4 + 2 / -9

m = -6/9 = -2/3

Use the point slope form and point (8, -2) and slove for y:

y - y1 = m(x - x1)

y - (-2) = -2/3(x - 8)

y + 2 = -2/3x + 16/3

y = -2/3x + 16/3 - 2

y = -2/3x + 16/3 - 6/3

y = -2/3x + 10/3

Proof using the point (-1, 4):

f(-1) = -2/3(-1) + 10/3

= 2/3 + 10/3

= 12/3 = 4, giving point (-1, 4)

Hope this helps! Have an Awesome Day!! :-)

4 0
3 years ago
Blanks ?? Help me ??
jenyasd209 [6]
C is 6 because the absolute value of -19 -13 would be 19-13 which equals 6
5 0
3 years ago
How would you solve 2-3÷(-1)×9
Ainat [17]

Answer:

the answer is 29

Step-by-step explanation:

i don't really know how to explain it but hopefully it right

5 0
3 years ago
Other questions:
  • A baker made 260 cupcakes last week of 55% were chocolate how many cupcakes were chocolate​
    14·1 answer
  • Nellie is buying bird seed to put in her bird feeders. She uses about 10 pounds of bird seed each week, but has room to store an
    6·1 answer
  • The city was concerned that brink's was stealing money from the parking meter receipts. assume that this sample of months is lik
    12·1 answer
  • Which rules give a repeating pattern that has a 7 as the 15th number? Select all that apply.
    5·1 answer
  • A ladder leans against a building. The foot of the ladder is 2 feet from the building and reaches to a point 7 feet high on the
    15·1 answer
  • what is the length of a tractor trailer if the volume of the trailer is 2000 cubic feet, the width is 7 feet 6 inches and the he
    8·1 answer
  • "A curtain manufacturer uses a 90-yard roll of material to make 77 identical curtains. There was 7.75 yards of material left ove
    11·2 answers
  • HELP ASAP YOU GET BRAIBLIEST FOR CORRECT ANSWER
    10·2 answers
  • Is 20 the solution 20*7-6x=106
    8·1 answer
  • Someone please explain this step by step:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!