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
svetlana [45]
2 years ago
11

Which system of linear inequalities is represented by the graph?

Mathematics
2 answers:
NARA [144]2 years ago
7 0

Answer:

y > (2/3) x + 3 and y <= - (1/3) x + 2

Step-by-step explanation:

azamat2 years ago
6 0

Answer:

The system of linear inequalities represented by the graph is:

y > (2/3) x + 3 and y <= - (1/3) x + 2

Step-by-step explanation:

In the graph we can see the region on and below the red line, and above the black dashed line.

1) The red line goes through the points:

P1=(0,2)=(x1,y1)→x1=0, y1=2

P2=(3,1)=(x2,y2)→x2=3, y2=1

The slope of this line is:

s=(y2-y1)/(x2-x1)

Replacing the known values:

s=(1-2)/(3-0)

s=(-1)/(3)

s=-(1/3)

The equation of the red line is:

y-y1=s(x-x1)

y-2=-(1/3)(x-0)

y-2=-(1/3)x

y-2+2=-(1/3)x+2

y=-(1/3)x+2

The area on and below the red line is: y<=-(1/3)x+2

2) The black dashed line goes through the points:

P1=(-3,1)=(x1,y1)→x1=-3, y1=1

P2=(0,3)=(x2,y2)→x2=0, y2=3

The slope of this line is:

s=(y2-y1)/(x2-x1)

Replacing the known values:

s=(3-1)/(0-(-3))

s=(2)/(0+3)

s=(2)/(3)

s=(2/3)

The equation of the red line is:

y-y2=s(x-x2)

y-3=(2/3)(x-0)

y-3=(2/3)x

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

y=(2/3)x+3

The area above the black dashed line is: y>(2/3)x+3

Then, the system of linear inequalities represented by the graph is:

y>(2/3)x+3 and y<=-(1/3)x+2

You might be interested in
3. Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely ma
igomit [66]
A)  slope is 7 for 1 and -7 for the other.  These lines intersect in 1 point only

b) both equations have slope -2/3 and the same intercept, so it is really only one line...infinite solutions

c) parallel lines have 0 solutions
4 0
3 years ago
Read 2 more answers
Sal is tiling his entryway. The floor plans is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.25 per sq
SOVA2 [1]
Is there a picture or something because how many tiles does he wanna make

6 0
2 years ago
Find the sum.<br><br> 17x3 + (3x + 8x3) = <br> (from clever)
Arte-miy333 [17]

Answer:

the answer is c. see picture

7 0
3 years ago
Read 2 more answers
Please be quick i dont have that much time
Oduvanchick [21]

Answer:

To find the sum of interior angles in a polygon, we can use the formula:

180(n-2) where n is the number of sides.

Since this is pentagon (5 sides), then 180(5-2)=180*3=540

The missing angle would then be

540-97-111-104-115=113

Since angles on a straight line add up to 180, then

x+113=180

x=67

3 0
2 years ago
28 + 56t + 28w equivalent expressions
irina [24]

Answer:

28(1+2t+w)

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • How many times dose 12 fit into 116?
    5·2 answers
  • Blake looks at his checking account balance regularly. His three lowest balance during the year are as given. - $20 &lt; -$12&lt
    5·2 answers
  • What's the graph below thanks
    13·2 answers
  • Write 9,150,000 in scientific notation
    12·2 answers
  • Which of the following is an example of a measurement of acceleration?
    15·1 answer
  • If f(x) = x2 − 3x − 4 and g(x) = x2 + x, what is (f + g)(x)?
    15·1 answer
  • Solve for k 1.2k = 9.6
    15·1 answer
  • Find a common denominator for the pair of fractions 3/4 and 1/3 then write equivalent fractions with the common denominator.
    15·2 answers
  • AHahahaahhahhah please please help no links please
    14·1 answer
  • Solve and graph the inequality 16x&lt;-64
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!