What are the intercepts of the equation 18x - 9y + 3z = 18 ?

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inyrevnnthveer98

Mathematics

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What are the intercepts of the equation 18x - 9y + 3z = 18 ?

a. (1, 0, 0), (0, 2, 0), (0, 0, 6)

b. (6, 0, 0), (0, –3, 0), (0, 0, 1)

c. (6, 0, 0), (0, 3, 0), (0, 0, 1)

d. (1, 0, 0), (0, –2, 0), (0, 0, 6)

Without graphing, classify the following system as independent, dependent, or inconsistent.
 4x - 2y  = 14  , y = 2x -6

a. independent

b. inconsistent

c. dependent 

Graph the system of inequalities y > -3 , y < - |x+2|. Which two quadrants does the solution lie in?

a. 1 and 4

b. 1 and 2

c. 2 and 3

d. 3 and 4

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Explanation & Answer

1=d. (1, 0, 0), (0, –2, 0), (0, 0, 6)

2= 
y = 2x + 7 
y = 2x - 6
Inconsistent System: 
The lines are parallel. There is no point of intersection. The system has no solution.

3=c. 2 and 3


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