Mathematics
09.06.2023 14:05
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One solution of the quadratic equation x? - 7x+12 = 0 is 3. What is the other zero?

One solution of the quadratic equation x? - 7x+12 = 0 is 3. What is the other zero?
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sammamamam1090
sammamamam1090
4,6(82 marks)
Part A:

The x-intercept represents the point where each side of the tunnel meets the ground. The first point is at x = 0 and the second is at x = 100 (each square is going up in 10s)

The maximum point represents the highest point of the tunnel.

The function reaches its maximum point before it decreases again in between x = 40 and x = 60

At x = 40 and x= 60, the height of the tunnel is y = 47. Translating this into the context means that at the distance of 40 units and 60 units from the point 0, the height of the tunnel is 47 units

Part B:

When x = 15, y = 25
When x = 35, y = 45

The rate of change is represented by the slope ⇒ 
(45 - 25) ÷ (35 - 15) = 20÷20 = 1 
It means that for every one unit of distance, the height increase by one unit.

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