Answer:
In the picture
Step-by-step explanation:
Answer:
1. y = -0.6x + 5.4.
2. The entered points belong to a vertical line. There is no slope.
Equation: x = 6
3. y = 0.16667x + 5.5.
4. The entered points belong to a vertical line. There is no slope.
Equation: x = -8.
Step-by-step explanation:
Answer:
One-sixth
Step-by-step explanation:
First we need to add the blue tokens (two-sixths) plus the gold tokens (two-sixths) when you add those you get five-sixths and since we are dealing with sixths we would subtract five-sixths from six-sixths
Substitute the given point (3, -2) in each condition
(i) y < -3; y ≤ (2/3)x - 4
-2 < -3 → False
Therefore, it is not a solution.
[Since the values of x and y must satisfy both the conditions, if one of them does not satisfy the condition then it is not necessary to check the other one.]
(ii) y > -3; y ≥ 2/3x - 4
-2 > -3 → True
y ≥ 2/3x - 4
-2 ≥ -2 → True
Therefore, it is a solution.
(iii) y < -3; y ≥ 2/3x - 4
-2 < -3 → False
Therefore, it is not a solution.
(iv) y > -2; y ≤ 2/3x - 4
-2 > -2 → False
Therefore, it is not a solution.
Thereofore, the system of linear inequalities having the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4. Hope it helps you.
