Solve it in 10 min wing system of inequalities:y2 14x28y+0.5x< 12x-40(If you cannot see the questionn disk herea) What are the vertices of the solutions set to the system of inequalities (without mentioning thevertex of the parabola)?(Sort your answers from the smallest value for x to the largest. If more than one answer has the same value for thensort them from the smallest value for y to the largest),y3Dy =X =y =b) If y = 30, what are the possible values for x to satisfy the system of inequalities?SXS

Introduction: Like a system of equations, a system of inequalities can also be formed. In a system…

Answered: 12x-40 (If you cannot see the question…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter10: Inequalities

Section10.8: Systems Of Linear Inequalities

Problem 1E

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Discuss Shading unwanted regions to graph the solution of a system of inequalities, we have stated the solution of each inequalities in a different color; the solution of a system is the regions where all shaded parts overlap here is a different method; for each inequality shade the regions that does not satisfy the inequality explain why the part of the plane that is left unshaded is the solution of the system. Solve the following system by both method ,why do they prefer? Why? {x+2y4x+y1x+3y9x3}
Feasible RegionAll parts of this problem refer to the following feasible region and objective function. {x0xyx+2y12x+y10 P=x+4y aGraph the feasible region. bOn your graph from part a, sketch the graphs of the linear equations obtained by setting P equal to 40, 36, 32, and 28. cIf you continue to decrease the value of P, at which vertex of the feasible region will these lines first touch the feasible region? dVerify that the maximum value of P on the feasible region occurs at the vertex you chose in part c.
Feasible region all part of this problem refer to the following Feasible region and objective function. {x0xyx+2y12x+y10}P=x+4y (a) Graph the Feasible region. (b) on your graph from part(a) , sketch the graph of the linear equation obtained by (c setting P equal to 40,36,32 and 28 . (c) if you continue to decrease the value of P, at which vertex of the Feasible region will these lines first touch the Feasible region . (d) verify that the maximum value of P on the Feasible region occurs at the vertices you too chose in part(c).
[1] What is the graph of linear inequalities in two variables? Straight line Half-plane Parabola Half of a parabola
Ruff Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat. Draw the feasible region that shows the number of ounces of chicken and number of ounces of grain Ruff can mix into each bag of dog food. Find the corner points of the region.
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 2 y≥-5/2 x-2 Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. Part B: Is the point (−2, −2) included in the solution area for the system? Justify your answer mathematically.
a. Graph the solution set of the system b. List the points that form the corners of the graphed region in part (a). c. Evaluate 2x + 5y at each of the points obtained in part (b).
Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no less than $1 combined. At least 2 of the coins are nickels and at least 9 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution. Clearly state all inequalities.
Juan has x quarters and y dimes, having a minimum of 16 coins worth at most $3 combined. No less than 4 of the coins are quarters. Solve this system of inequalities graphically and determine one possible solution.
A video of the path of a ball thrown by a baseball player was analyzed with a grid covering the TV screen. The video was paused three times, and the position of the ball was measured each time. The coordinates obtained are shown in the table. (x and y are measured in feet.) Horizontal distance, x 0 15 30 Height, y 6.0 9.6 12.2 (a) Use a system of equations to find the equation of the parabola y = ax2 + bx + c that passes through the three points. Solve the system using matrices. (Round each coefficient to four decimal places.) y=_______________? (b) Graphically approximate the maximum height of the ball and the point at which the ball struck the ground. (Round your answers to the nearest whole number.) Maximum Weight=_______________ft? Point at which ball strikes ground=_______________ft? (d) Analytically find the maximum height of the ball and the point at which the ball struck the ground. (Round your answers to three decimal places.) Maximum Height…
Evan has x pennies and y nickels. He has no less than 20 coins worth no more than $0.75 combined. Solve this system of inequalities graphically and determine one possible solution.
A video of the path of a ball thrown by a baseball player was analyzed with a grid covering the TV screen. The video was paused three times, and the position of the ball was measured each time. The coordinates obtained are shown in the table. (x and y are measured in feet.) Horizontal distance, x 0 15 30 Height, y 6.0 9.8 12.4 (a) Use a system of equations to find the equation of the parabola y = ax2 + bx + cthat passes through the three points. Solve the system using matrices. (Round each coefficient to four decimal places.) Equation= y=-0.0027x^2+0.2933x+6 (d) Analytically find the maximum height of the ball and the point at which the ball struck the ground. (Round your answers to three decimal places.) What would be the maximum height?

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