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sweet [91]
3 years ago
10

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

Mathematics
1 answer:
Leokris [45]3 years ago
6 0
The vertices are the following intersection points:

1) y = 0 and x 0 0 => (0,0)

2) x = 0 and 2x - 6y = - 3  => (0, 1/2) = (0, 0.5)

3) 2x + 3y = 6 and 2x - 6y = - 3 => (3/2, 1) = (1.5, 1)

4) y = 0 and 2x + 3y = 6 => (3,0)

Answer: (0,0) , (0, 0.5) (1.5, 1), (3, 0) = the third option.


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A bird flies up and then down again, approximately following the
BaLLatris [955]

Answer:

  • 112.5 ft

Step-by-step explanation:

The maximum is achieved at vertex of parabola.

The x- coordinate of the vertex is determined by x = - b/(2a).

  • x = - 15/(-0.5*2) = 15

The maximum height is the corresponding y- coordinate

  • y = - 0.5(15²) + 15(15) = 112.5 ft
4 0
2 years ago
You have a bag that contains 20 quarters, 20 dimes, and 15 nickels. When randomly selecting two coins with no replacement find t
iogann1982 [59]

Answer:

P(2 quarters) = 19/ (13*16) = 19/208  = 0.0913

Step-by-step explanation:

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ok

first draw:  there are 20 quarters to choose from

second draw: there are 19 quarters left to choose

so Total coins are 65 coins

P(2 quarters) = P( 1st quarter)* P(2nd quarter)

P(2 quarters) =  20/65   *   (19/64)

P(2 quarters) = 4/13 *  19/64

P(2 quarters) = 19/ (13*16) = 19/208

4 0
3 years ago
Tony has 6 dollars in change in his car. Every time he drives to visit his grandma, he pays $1.25 in tolls. Which graph represen
olga_2 [115]
After paying 4 tolls, Tony will have 4×$1.25 = $5.00 less change in his car. At that point, he will have $1 in change. The appropriate choice is
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5 0
3 years ago
Read 2 more answers
What values of b satisfy 4(3b + 2)2 = 64?
Vikentia [17]
Given the equation 4(3b + 2)² = 64, dividing both sides of the equation by 4, we have (3b + 2)² = 16 and getting the square root of both sides, (3b + 2) = 4 and (3b + 2) = -4 We can solve for b for each equation and have 3b = 2 | 3b = -6 b = 2/3 | b = -2 Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
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2 years ago
Carrie has a stamp collection she is very proud of. She buys a frame to display her favorite stamps. The frame is 6 inches wide,
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The stamps should be .85 inches each
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2 years ago
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