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denis23 [38]
3 years ago
6

The constraints of a problem are graphed below. What are vertices of the feasible region?

Mathematics
1 answer:
OleMash [197]3 years ago
8 0

Answer:

(0,0),(0,15),(20,25),(40,0)

Step-by-step explanation:

we know that

The feasible region is a quadrilateral

Let

A,B,C and D the vertices of the feasible region

see the attached figure

Observing the graph we have that

The coordinates of point A are (0,0)

The coordinates of point B are (0,15)

The coordinates of point C are (20,25)

The coordinates of point D are (40,0)

therefore

The answer is

(0,0),(0,15),(20,25),(40,0)

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6 0
3 years ago
2x+5y=12
anastassius [24]
Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation

2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
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so the solution is (-17/13, 38/13)

8 0
3 years ago
PLEASE HELP! I HAVE TWO QUESTIONS AND WILL GIVE 100PTS AND BRAINLIEST IF CORRECT!
Volgvan

Answer:

1) $283.50

2) 65.21 meters.

Step-by-step explanation:

Part 1)

We know that a spool of ribbon holds 6.75 meters.

A craft club buys 21 spools.

So, the total length of ribbon bought is:

T=21(6.75)=141.75\text{ meters}

Each meter costs $2. So, the total cost will be:

141.75(2)=\$ 283.50

Part 2)

A spool holds 6.75 meters.

We bought 21 of them, so that total length we have is 141.75 meters.

The club used 76.54 meters.

So, the amount of ribbon that is left is represented by:

141.75-76.54

Subtract:

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So, 65.21 meters of ribbon will be left.

7 0
3 years ago
Read 2 more answers
Please help me
kirza4 [7]
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Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³

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6 0
3 years ago
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Allushta [10]

Answer:

42

Step-by-step explanation:

105 - 63 = 42

7 0
3 years ago
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