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
Alex
3 years ago
12

Which graph represents the solution to the system of inequalities? x + y ≤ 4 y – x ≥ 1

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Given inequalities are

x+y\le4 and

y-x\ge1

Now we will graph both inequalities to get the common region which represents solution.

<u>Work for x+y\le4 </u>

first we graph the line x+y=4 then shade the graph for inequality symbol \le

we can plug any random number for x and find y-value to get points

lets plug x=0 then we get:

x+y=4

0+y=4

y=4

so the point is (0,4)

Similarly we can find more point like (4,0).

Now graph both points and join both points by straight line.

Now we find direction of shading.

pick any test point which is not on that line x+y=4 say (0,0)

and plug it into orinal inequality x+y\le4

0+0\le4

0\le4

which is true.

True means shade in direction of test point. Otherwise we shade in opposite direction.

We will repeat same process for other inequality to graph that.

Hence final graph for the answer will be as shown in attached image.

Triangular region ABC is final answer.

You might be interested in
Question 1 (Essay Worth 10 points) (07.02 MC) The lengths of three sides of a trapezoid are shown below: Side 1: 11z2 − 4z + 2 S
Maslowich
The answer is the 3 trapsizoid as it’s interior is invert
7 0
3 years ago
By selling a watch on 400 and 460’. Loss and profit happened respectively.if the loss and profit are equal, find cp.
Maslowich

Answer:

430

Step-by-step explanation:

<u>Given :-</u>

  • By selling a watch on 400 and 460’. Loss and profit happened respectively.
  • The loss and profit are equal.

And we need to find out the CP .So ,

<u>Let :- </u>

  • CP be x
  • Profit and Lost be y .

<u>According to the Question :- </u>

:\implies 460 = x + y <em>( Profit)</em>

:\implies 400 = x - y <em>( Loss)</em>

<u>Adding both :- </u>

:\implies 460 + 400 = x + y + x - y

:\implies 860 = 2x

:\implies x = 860/2

:\implies x = 430

<u>Hence the Cost price of the watch is 430 .</u>

5 0
2 years ago
Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
Naily [24]

Answer:

she didnt go back from 15 she went back from 20and the arrows should be going backwords not forwards

8 0
2 years ago
Read 2 more answers
Melanie swam 918 meters in 3 days if she swam the distance each day how many far did melanie swim in one day
Svetradugi [14.3K]
918/3=306
So 306 meters per day.
4 0
2 years ago
Solve the equation (3x-5)=16<br>with working<br>=​
Delvig [45]

Answer:

x=7

Step-by-step explanation:You can plug in the value for x and solve to see if true.

7 0
3 years ago
Other questions:
  • Write the ratio as a fraction in simplest form:
    10·1 answer
  • How many degrees is the following polynomial?<br><br> 3x^2+4x^7-9x^2−x^4+10
    5·1 answer
  • What is 5(-3k+5)=-4K+k+1
    13·1 answer
  • Find the slope between the points (10, -1) and (-8, 6) 5/2 −7/18 2/5 −18/7
    5·1 answer
  • A cylindrical barrel with a diameter of 6 meters contains collected rainwater, as shown in the figure above. The
    12·1 answer
  • Please Help!!
    13·1 answer
  • What adds up to 11 and multiples to -60?
    14·1 answer
  • The tables given stretch for the linear functions f(x) and g(x). What is the input value for which f(x) and g(x) is true?
    6·1 answer
  • Find the Surface Area of <br> 8 m<br> 5 m<br> 3 m
    15·1 answer
  • (b) 3 hour 45 minute
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!