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
liq [111]
3 years ago
13

A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri

ng ordering a certain number of sofas, x, and a certain number of pillows that come in pairs, y. Which graph represents the possible combinations of sofa and pillow orders the manager can have?

Mathematics
2 answers:
kotegsom [21]3 years ago
8 0

Answer: D

Step-by-step explanation:

Nataliya [291]3 years ago
5 0

Answer:

  • It is the last graph: solid line, shaded area over the line x = 2 - x/2

Explanation:

1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>

  • Number of sofas: x (given)
  • Number of pillows: 2y (given, since they come in pairs)
  • Number of items = number of sofas + number of pillows = x + 2y
  • Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4

<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>

  • The border line is the equation x + 2y = 4
  • You can choose two points to draw a line
  • Choose the axis-intercepst:

        x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)

        y = 0 ⇒ x = 4 ⇒ point (4,0)

        Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]

  • The shading area is above the line because when you solve for y you get y ≥   2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).

  •  To state that the line is included the graph uses a continous line instead of a dotted one.

<u>3) Conclusion:</u>

That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.

Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.

   

You might be interested in
What is the value of n in the relationship 8n+9=-n+5
vitfil [10]
Subtract 5 from both sides.

8n + 4 = -n

Subtract 8n from both sides.

4 = -9n

Divide both sides by -9 to solve for n.

- \frac{4}{9} = n

The value of n is -4/9.
8 0
3 years ago
Write the expression 12 × 42 in words.
liq [111]
First you rewrite the multiplication problem up and down and then you multiply 2 x2 then 2 x1 then drop a zero then multiply 4 x2 then 4 x 1 and then add it together and get your answer which is 504
3 0
3 years ago
Read 2 more answers
-2x + y = 4<br> y = x + 2<br><br><br> Third question^ solve the system of equations
Leya [2.2K]

Answer:

x=-2 y=0

Step-by-step explanation:

put the second equation in to the first one

-2x+x+2=4

-x=2

x=-2

y=-2+2=0

x=-2 y=0

6 0
3 years ago
Round your answer to the nearest hundredth.
Natali5045456 [20]

Answer:

uh, I think it's 4.13

Step-by-step explanation:

5*sin(65)=4.13 now this seems a bit off but this was the only one that actually worked

5 0
2 years ago
Read carefully and choose the name of the student who made the correct statement ..... HELPPP hurry
gayaneshka [121]
Phoebe is correct. The line on the graph would be vertical in the x-axis value of 12.
6 0
3 years ago
Other questions:
  • 3. An online video game tournament begins with 1024 players. Four players play in each
    14·1 answer
  • Write the following fraction as a decimal<br> 299 792 458/ 1000000<br><br> what is it?
    14·1 answer
  • Help? It’s on probability’s.
    13·2 answers
  • together, tom and max have 72 football cards, tom has 2 more than 4 times as many cards as max has, how many football cards does
    14·1 answer
  • Please explain how to do this one as well ...
    7·1 answer
  • A rectangular plot of grounds is 10 meters longer than it is wide. It’s area is 10,000 square meters. Which equation will help y
    8·1 answer
  • Marco has a bag of 50 colored marbles.there are 12 blue marbles,18 black marbles,and 20 red marbles.what is the ratio of the num
    5·1 answer
  • The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
    12·1 answer
  • As people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not. Males Enjoyed: 47 D
    15·2 answers
  • Please help me with this
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!