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A graph represents the feasible region for the system: y is less than or equal to 2x, x + y is greater than or equal to 45, and

atroni [7]

Notation. x  y means x is less than or equal to y. x y means x is greater than or equal to y. x < y means x is less than y. x > y means x is greater than y. The last two inequalities are called strict inequalities. Our focus will be on the nonstrict inequalities. Algebra of Inequalities Suppose x + 3 < 8. Addition works like for equations: x + 6 < 11 (added 3 to each side). Subtraction works like for equations: x + 2 < 7 (subtracted 4 from each side). Multiplication and division by positive numbers work like for equations: 2x + 12 < 22 =) x + 6 < 11 (each side is divided by 2 or multiplied by 1 2 ). 59 60 4. LINEAR PROGRAMMING Multiplication and division by negative numbers changes the direction of the inequality sign: 2x + 12 < 22 =) x 6 > 11 (each side is divided by -2 or multiplied by 1 2 ). Example. For 3x 4y and 24 there are 3 possibilities: 3x 4y = 24 3x 4y < 24 3x 4y > 24 4y = 3x + 24 4y < 3x + 24 4y > 3x + 24 y = 3 4x 6 y > 3 4x 6 y < 3 4x 6 The three solution sets above are disjoint (do not intersect or overlap), and their graphs fill up the plane. We are familiar with the graph of the linear equation. The graph of one inequality is all the points on one side of the line, the graph of the other all the points on the other side of the line. To determine which side for an inequality, choose a test point not on the line (such as (0, 0) if the line does not pass through the origin). Substitute this point into the linear inequality. For a true statement, the solution region is the side of the line that the test point is on; for a false statement, it is the other side.

6 0

3 years ago

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On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negat

Dvinal [7]

Answer:

b

Step-by-step explanation:

7 0

3 years ago

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Help me fill this out! please be honest and help me , i'll mark you brainlesst

faust18 [17]

Answer/Step-by-step explanation:

1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)

2. The lines that created <FRT (lines FR & TR) are secants

3. The major arc = FT = 140°

minor arc = QS = 44°

4. Formula of Exterior angles of a circle = (major arc - minor arc)/2

x = (140 - 44)/2

x = 96/2

x = 48°

5 0

3 years ago

Answer this for me guys

Andrews [41]

Answer:

Answer: 1 1/4

Step-by-step explanation:

1/4 * -5

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3 years ago

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Jarvis began operations on January 1, Year 1 with an owner investment of $12,400. There have been no additional owner investment

anygoal [31]

(a) The statement of owner's equity for Year 1 is $26,920

(b) The statement of owner's equity for Year 2 is $52,720

(a) Preparation of the statement of owner's equity for Year 1 at its December 31 year end.

JARVIS statement of owner's equity for year ended December 31 Year 1

Owner investment $12,400

Add Net income $ 33,600

Less Jarvis, Withdrawals ($ 19,080)

Statement of owner's equity for Year 1 $26,920

(b) Preparation of the statement of owner's equity for Year 2 at its December 31 year end.

JARVIS statement of owner's equity for year ended December 31 Year 2

Owner investment $12,400

Add Net income $ 56,000

Less Jarvis, Withdrawals $ 15,680

Statement of owner's equity for Year 2 $52,720

Learn more here:.

brainly.com/question/17062268

6 0

3 years ago

Lol please help I'm struggling so hard I'm literally in tears (photo)​

Lol please help I'm struggling so hard I'm literally in tears (photo)