Answered: Lets check 1. Which of the following…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.3: Parallel And Perpendicular Lines

Problem 5CYU

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Question

Lets check

1. Which of the following ordered pairs satisfy the 7x+8y<3 and 6x-y>0?

(1,-5)

(5,-1)

(0,0)

(1,1)

2. Describe the graph of the following systems of linear equations:

9x + 2y = -1

9x + 2y = 1

intersecting

parallel

coinciding

dependent

3. Which of the following ordered pairs satisfy the inequality 3x+2y>5?

(5,1)

(0,2.5)

(0,0)

(-5,0)

4. The XYZ Company in one of its minor manufacturing plants produces speakers and headsets. The company earns P16,500 for each speaker produced and P1,800 per headset. Each of these products has to go through machines A and B. Each speaker requires 5 hours in Machine A and 2 hours in Machine B while each headset requires 1 hour in Machine A and 1 hour in Machine B. Per production cycle, Machine A can only operate for 20 hours nonstop while Machine B can operate nonstop for only 26 hours. How many speakers and headsets should be produced per production cycle to maximize the company’s profit? NOTE: Let x be number of speakers produced and y be the number of headset produced.

Which of the following serves as the structural constrains for Machine B?

2x+y≥26

2x+y≤26

x+2y≥26

x+2y≤26

5. Which of the following ordered pairs does NOT satisfy the graph of 5x-2y=10?

(2,0)

(1,1)

(3,2.5)

(0,-5)

6. The following are properties of the linear programming problem EXCEPT:

All variables must be nonzero.