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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
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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