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
Alexxandr [17]
3 years ago
10

Please Help Write a system of linear Inequalities to represent each graph.

Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.

Step-by-step explanation:

1. Blue region. The boundary blue line passes through the points (0,-7) and (3,8), then its equation is

\dfrac{x-0}{3-0}=\dfrac{y+7}{8+7},\\ \\15x=3(y+7),\\ \\5x=y+7,\\ \\5x-y-7=0.

This line is solid, so the sign for the inequality should be with the notion "or equal to".

From the diagram you can see that the origin belongs to the blue region, then its coordinates satisfy the inequality. Thus,

5x-y-7\le 0.

2. Green region. The boundary green line passes through the points (6,-1) and (0,3), then its equation is

\dfrac{x-0}{6-0}=\dfrac{y-3}{-1-3},\\ \\-4x=6(y-3),\\ \\-2x=3y-9,\\ \\2x+3y-9=0.

This line is solid, so the sign for the inequality also should be with the notion "or equal to".

From the diagram you can see that the origin doesn't belong to the blue region, then its coordinates satisfy the inequality. Thus,

2x+3y-9\ge 0.

3. The system of linear inequalities that represents these graphs is

\left\{\begin{array}{l}5x-y-7\le 0\\2x+3y-9\ge 0\end{array}\right.

You might be interested in
What are the measures of angles M and N?<br> m m m m &lt; M = 119° and m
NNADVOKAT [17]

Answer:

m<M = 113 deg

m<N = 61 deg

Step-by-step explanation:

In an inscribed quadrilateral, opposite angles are supplementary.

m<M + m<K = 180

m<N + m<L = 180

m<M + 67 = 180

m<M = 113

m<N + 119 = 180

m<N = 61

7 0
3 years ago
Write a compound inequality to represent the following verbal expression:
EastWind [94]

Answer:

21≤X<28

Or

X≥21+X<28

Step-by-step explanation:

Both equations mean the same thing

7 0
3 years ago
Robert sliced a large loaf of bread to make 12 sandwiches. He makes 3 turkey sandwiches and 5 veggie sandwiches. What fraction o
lidiya [134]
It would be 1/3rd because your last number would be 4 in the equation of 12 sandwiches.
4 0
3 years ago
Read 2 more answers
The number 1/5 is which type of number?
Ksju [112]
the answer is

d. rational
3 0
3 years ago
Read 2 more answers
If x varies directly as y, and<br> X = 24 when y= 21, Find x when<br> Y=6
Ne4ueva [31]

Answer:

x = 48/7

Step-by-step explanation:

There's two good ways to do this problem.

Option 1:

Translate "x varies directly as y" into the equation y=kx

Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.

Option 2:

Translate "varies directly" into a proportion, which is two fractions equal to each other:

x/y = x/y

Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.

7 0
1 year ago
Other questions:
  • If a sprinkler waters 1 over 20 of a lawn in 1 over 5 of an hour, how much time will it take to water the entire lawn?
    10·1 answer
  • How many times dose 87 go into 392?
    13·1 answer
  • The total amount of money (in cents) in x quarters, (x+5)dimes, and 2x nickels
    14·1 answer
  • I need help with 4 plz
    13·2 answers
  • Which table of values can be defined by the function y = -2x + 5? X у -1 - 2 -1 --3 o -5 -7 1 2. -9 X V у --10-25 -5 -15 0 -5 5
    5·1 answer
  • What is the correct standard form for 30+2+0.1+0.005<br><br>​
    10·1 answer
  • The cost of 5 gallons of ice cream has a standard deviation of 7 dollars with a mean of 25 dollars during the summer. What is th
    8·1 answer
  • An inequality is written below
    11·1 answer
  • HELP ASAP I will give 20 points
    9·1 answer
  • I need asap pleaassee
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!