The problem is to find the right triangle of perimeter 10 whose area is as large as possible. What is the constraint equation relating the base b and height h of the triangle?

Q: A farmer needs to enclose three sides of a meadow with a fence (the fourth side is a stream). The…

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Q: The sum of the bases and altitude of a trapezoid is 36 inches and one base is 6 inches longer than…

A: We have to find all three dimensions

Q: The linear quadratic system: y = x² - 3x - 4 and y = x - 8 has how many solution sets? That is, how…

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Q: Suppose you are going on a trip and need to choose between two car rental companies. Company 1…

A: topic - linear function

Q: Show a separate graph of the constraint lines and the solutions that satisfy each of the following…

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Q: The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions f the…

A: Given that: Sum of perimeter of an equilateral triangle and a square is 10

Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it…

A: Consider a rectangular field of length l and width b as shown in the figure and than use the…

Q: Each plane can carry a total volume of supplies that does not exceed 6000 cubic feet. Each water…

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Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A: Given that Window is in form of equilateral triangle surmounted on a rectangle. Perimeter of entire…

Q: Sketch the graph of the solution set for the following system of inequalities: y ≥ nx + b (n < 0,…

A: Given: y ≥ nx + b (n < 0, b > 0), y ≤ mx + b (m > 0, b > 0). To sketch: The graph of the…

Q: The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the…

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Q: Determine graphically the solution set for the system of inequalities. 3x 2y > -17 -x + 2y > 9.

A: We have to solve the problem by system of inequality.

Q: Graph the solution to the system of inequalities on an xy-coordinate plane: y< -글x+ 4 - 3x - y < 2

A: We have, the given system of inequalities as y&lt;-12x+4           ⋯⋯1-3x-y&lt;2y&gt;-3x-2…

Q: what are the objective equation and the constraint equation?

A: Let us define what is objective equation The equation that is asked to minimize the cost, an…

Q: Find the number of units that must be produced and sold in order to yield the maximum profit, given…

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Q: 6. Suppose U = x1x2 and the budget constraint is given as 10x1 + 2x2 and x, and A*. 120, solve

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Q: A rectangle with vertices in quadrants I and IV has 2 vertices located at (2,2) and (7,2). If the…

A: Assume  length = a Width = b Vertices , ( 2 ,2 ) and ( 7,2 ) From the given vertices  length a = 5…

Q: Find the solutions of the system of inequalities by graphing: x + y 1

A: This is a problem related to inequalities. Based on the graph of both linear equation we can…

Q: The sum of two numbers is 70, and the sum of their squares is a minimum. Give one of the two…

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Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A: Let's find.

Q: Graph the solution set. If there is no solution, indicate that the solution set is the empty set.…

A: Our Aim is to graph the solution set of the equations given below:--3x+y≤-1-x-2y≥-5

Q: Find the system of inequalities that has the solution triangular region enclosed by the three lines…

A: The given question can be solved by using the given graph as shown below. The given graph shows a…

Q: Find the solution region to the system of linear inequalities shown below. 3x + 4y 1 -3 -2 -5-4 -3…

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Q: The hypotenuse of right- angled triangle is 6 metres more than twice the shortest side. If the third…

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Q: 2. Write the constraint and the optimization equations.

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Graph the solution set of system of inequalities: x ≥ 0, y ≥ 0, 3x + y ≤ 9, 2x + 3y ≥ 6

A: Given: The system of inequalities: x≥0, y≥0, 3x+y≤9, 2x+3y≥6 To determine: Graph the solution set of…

Q: Determine graphically the solution set for the system of inequalities.3x − 2y &gt; −13−x + 2y…

A: We have been given a system of inequalities and we need to graph its solution. First of all, we will…

Q: The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, (b)…

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Q: Determine graphically the solution set for the system of inequalities. 3x - 7y 2-27 x +3y 2 7 x > 0,…

A: A System of inequalities are given.

Q: The area of a pumpkin patch is 120 square yards, and its width is 26 yards less than 3 times its…

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Q: What is the implicit solution of the problem using x and y as the variables? The question wasnt…

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Q: Graph the intersection or union, as appropriate, of the solutions of the pair of linear…

A: Solution

Q: Which of the below points is in the solution region to the following system of inequalities? 2x-y<1…

A: 2x-y&lt;1  x+2y&lt;-4  Find the point in the solution region of the inequality

Q: For reasons too complicated to explain, I need to create a rectangular orchid garden with an ares of…

A: Consider the given data.   Let x be the length and y be the breadth of the  rectangle. The cost of…

Q: A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a river). The…

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Q: Graph the solution set of the system x ≥ 0, y ≥ 0, 2x + 5y &lt; 10 and 3x + 4y ≤ 12 of inequalities…

A: Given: The system of inequalities: x≥0, y≥0, 2x+5y&lt;10, 3x+4y≤12 To determine: Graph of the…

Q: The perimeter of a rectangle is to be no less than 72 centimeters and the width must be 17…

A: In the question we have to find minimum length of the rectangle.

Q: If the sum of two numbers is C, find the minimum value of the sum of their squares. (А) с2/2 в) с2/4…

A: We have to find

Q: A rectangle has perimeter of 170 cm, and the length of a diagonal is 65 cm. What are its dimensions?…

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Of your portfolio consisting of ordinary shares(x) and preferred shares (y), 20% of the total are…

A: Ordinary shares = x Preferred shares= y We need to translate given statements to linear equations.

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: consider the equation

Q: A flower bed is in the shape of a triangle with one side twice the length of the shortest side and…

A: We need to find shortest side.

Q: Two rectangles are similar. One has a perimeter of 15 inches, the other a perimeter of 45. If x is…

A: We will solve the following

Q: Graph the intersection or union, as appropriate, of the solutions of the pair of linear…

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