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Espat Assume that traffic flows freely through the intersections A, B, and C. The values x,, x,, and x, and the other numbers in the figure represent flow rates in vehicles per hour. 177 210 196 -- ----- B-- 214 172 121 團 Part 1 of 7 (a) Write an equation representing equal flow into and out of intersection A. The equation representing equal flow into and out of intersection A is 177 + 196 = x, +x, Part 2 of 7 (b) Write an equation representing equal flow into and out of intersection B. The equation representing equal flow into and out of intersection B is 210 + 214 = x, +x,

Espat Assume that traffic flows freely through the intersections A, B, and C. The values x,, x,, and x, and the other numbers in the figure represent flow rates in vehicles per hour. 177 210 196 -- ----- B-- 214 172 121 團 Part 1 of 7 (a) Write an equation representing equal flow into and out of intersection A. The equation representing equal flow into and out of intersection A is 177 + 196 = x, +x, Part 2 of 7 (b) Write an equation representing equal flow into and out of intersection B. The equation representing equal flow into and out of intersection B is 210 + 214 = x, +x,

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Español Assume that traffic flows freely through the intersections A, B, and C. The values x,, x,, and x, and the other numbers in the figure represent flow rates in vehicles per hour. 177 210 196 -- ----- B-- 214 172 121 Part 1 of 7 (a) Write an equation representing equal flow into and out of intersection A. The equation representing equal flow into and out of intersection A is 177 + 196 = x, +x, Part 2 of 7 (b) Write an equation representing equal flow into and out of intersection B. The equation representing equal flow into and out of intersection B is 210 + 214 = x, +x, Part 3 of 7 (c) Write an equation representing equal flow into and out of intersection C. The equation representing equal flow into and out of intersection C is 172 + x, = 121 +x, Part 4 of 7 (a) Write the system of equations from parts (a)-(c) in standard form. The system of equations from parts (a)-(c) in standard form is X1 +X3 = 373 X1+X2 = 424 X2 -X3 = 51 Check Save For Later Submit Assignment
Transcribed Image Text:Español Assume that traffic flows freely through the intersections A, B, and C. The values x,, x,, and x, and the other numbers in the figure represent flow rates in vehicles per hour. 177 210 196 -- ----- B-- 214 172 121 Part 1 of 7 (a) Write an equation representing equal flow into and out of intersection A. The equation representing equal flow into and out of intersection A is 177 + 196 = x, +x, Part 2 of 7 (b) Write an equation representing equal flow into and out of intersection B. The equation representing equal flow into and out of intersection B is 210 + 214 = x, +x, Part 3 of 7 (c) Write an equation representing equal flow into and out of intersection C. The equation representing equal flow into and out of intersection C is 172 + x, = 121 +x, Part 4 of 7 (a) Write the system of equations from parts (a)-(c) in standard form. The system of equations from parts (a)-(c) in standard form is X1 +X3 = 373 X1+X2 = 424 X2 -X3 = 51 Check Save For Later Submit Assignment
10.2 Inconsistent Systems and Dependent Equations Gabriel v Question 8 of 8 (1 point) Question Attempt: 2 of Unlimited Español Part 4 of 7 (a) Write the system of equations from parts (a)-(c) in standard form. The system of equations from parts (a)-(c) in standard form is X1 +x = 373 X1 +X2 X2 -X3 = 51 = | 424 Part 5 of 7 (e) Write the reduced row-echelon form of the augmented matrix representing the system of equations from part (d). The reduced row-echelon form of the augmented matrix is |10 1 373 0 1 -1 51 Part 6 of 7 (f) If the flow rate between intersections A and C is 110 vehicles per hour, determine the flow rates x, and x,. x, = 263 vehicles per hour and x, = 161 vehicles per hour. Part: 6 / 7 Part 7 of 7 (g) If the flow rate between intersections A and C is between 110 and 150 vehicles per hour, inclusive, determine the flow rates x, and x,. Osx, O and < x, 3, where X1 and X, are measured in vehicles per hour. Check Save For Later Submit Assignment
Transcribed Image Text:10.2 Inconsistent Systems and Dependent Equations Gabriel v Question 8 of 8 (1 point) Question Attempt: 2 of Unlimited Español Part 4 of 7 (a) Write the system of equations from parts (a)-(c) in standard form. The system of equations from parts (a)-(c) in standard form is X1 +x = 373 X1 +X2 X2 -X3 = 51 = | 424 Part 5 of 7 (e) Write the reduced row-echelon form of the augmented matrix representing the system of equations from part (d). The reduced row-echelon form of the augmented matrix is |10 1 373 0 1 -1 51 Part 6 of 7 (f) If the flow rate between intersections A and C is 110 vehicles per hour, determine the flow rates x, and x,. x, = 263 vehicles per hour and x, = 161 vehicles per hour. Part: 6 / 7 Part 7 of 7 (g) If the flow rate between intersections A and C is between 110 and 150 vehicles per hour, inclusive, determine the flow rates x, and x,. Osx, O and < x, 3, where X1 and X, are measured in vehicles per hour. Check Save For Later Submit Assignment
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