The constraints of a problem are listed below. What are the vertices of the feasible region?2x+3y>12
5x+2y >=15
x>=0 y>=0

A) (0,0) --- (0,4) --- (21/11, 30/11)--- (3,0)
B) (0,0) ---(0,15/2) ---(21/11,30/11),--- (6,0)
C) (0,4) ---(21/11,30/11)--- (3,0)
D) (0,15/2)---(21/11,30/11)---(6,0)

Answers

Answer 1

Answer:

The vertices of the feasible region of the inequality is given by 2x + 3y > 12 and 5x + 2y ≥ 15

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2x + 3y > 12 be equation (1)

5x + 2y ≥ 15 be equation (2)

where x , y ≥ 0

Now , the inequalities are plotted on the graph ,

where the vertices of the feasible region is given by A , B and C

A ( 0 , 4 ) , B ( 21/11 , 30/11 ) , C ( 3 , 0 )

Hence , the inequalities are solved and the graph is plotted

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Answer 2

Answer:

Answer:

A IS THE ANSWER

Step-by-step explanation:

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the sum of three numbers is 16. the largest number is equal to the sum of the other two and 3 times the smallest number is 1 more than the largest

Answers

Answer:

8, 5, 3 are the numbers.

Step-by-step explanation:

Let the three numbers are x, y , and z.

out of which x is the largest and z is the smallest number.

Sum of three numbers is 16.

x + y + z = 16------(1)

The largest number is equal to the sum of the other two.

x = y + z --------(2)

3 times the smallest number is 1 more than the largest.

3z = x + 1 ---------(3)

Now we put the value of x from equation (2) to equation (1)

x + x = 16

2x = 16

x = 8

By putting x = 8 in equation (3)

3z = 8 + 1

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Therefore, the numbers are 8, 5, 3.

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Why are sports teams considering switching to a variable-pricing strategy for tickets?

Answers

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How to factor 16x²-72xy+81y²

Answers

$16x^2-72xy+81y^2=(4x)^2-2\cdot4x\cdot9y+(9y)^2=(4x-9y)^2\n\n=(4x-9y)(4x-9y)\n\n\n\n(a-b)^2=a^2-2ab+b^2$

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casey ran a 75 meter race in 10 seconds her distances at certain times during the race are shown in the table . what is the domain for the graph of the function that would model her race[ time in seconds 0 1 2 3 4 5 6 7 8 9 10 : distance in meters 0.0 5.5 12.0 20.0 28.5 36.0 44.0 56.5 64.0 75.0

Answers

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Here, the time goes on the x axis and the distance will go on the y axis.
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Since we are dealing with the domain, we really only need to focus on the time.
Time: 0 1 2 3 4 5 6 7 8 9 10

From this, we see that the values go from 0 to 10. This means that x can be anything from 0 to 10. Because there are y values that correlate with the numbers 0 and 10, we know that the domain will include 0 and 10. This indicates we must use brackets.

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What does sin, cos, and tan equal?

Answers

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