Graph: y - 10 = -2(z – 10)
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Answer:
Step-by-step explanation:
Given linear inequality:
Solving for
Subtracting both sides by 5.
Dividing both sides by 2.
∴
The graph of the inequality is shown below.
The line is represented by dotted line because the inequality sign is only greater than which means 22.5 is not included in the solution.
a) x-intercepts (where it passes through the x-axis) are: 0.05, 0.745, 0.8, 1.45, 1.55, 2.2
The x-intercepts represent when height = 0 and y-intercepts represent when time = 0
b) The graph is positive when height is positive: [0.05, 0.745] U [0.8, 1.45] U [1.55, 2.2]
c) The graph is negative when height is negative: [0, 0.05] U [0.745, 0.8] U [1.45, 1.55] U [2.2, ∞)
d) The average rate of change is the slope (rise/run) between the coordinates when x = 0.75 <em>(y = -5)</em> and when x = 1.125 <em> (y = 1.7). </em>
slope = =
= 6