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pallo.ai/mathematics
Question 7
2024
P2
6 marks
a)

Find the range of values of xx that satisfy the inequality 5x3<2x(5x)5x - 3 < 2x(5 - x).

3 marks
b)

The diagram shows a horizontal bridge of 100 metres supported by 2 pillars at the side, with a cable being suspended from point A and B. Each pillar is vertical and is 40 metres tall. The lowest point C of the cable is 10 meters above the bridge. The origin, O, is vertically below point A, where the foot of the pillar meets the bridge. A quadratic function can be used to model the cable. Find the quadratic equation.

3 marks
Bridge and cable diagram

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Anglo-Chinese Junior College
Hwa Chong Institution
Yishun Innova Junior College
Jurong Pioneer Junior College
Raffles Institution
Catholic Junior College
Tampines Meridian Junior College
St. Andrew's Junior College
Nanyang Junior College
Anderson Serangoon Junior College
Victoria Junior College
Eunoia Junior College
Temasek Junior College
National Junior College
Dunman High School
River Valley High School
Tanjong Katong Girls' School
Bukit View Secondary School
Swiss Cottage Secondary School
Anglo-Chinese Junior College
Hwa Chong Institution
Yishun Innova Junior College
Jurong Pioneer Junior College
Raffles Institution
Catholic Junior College
Tampines Meridian Junior College
St. Andrew's Junior College
Nanyang Junior College
Anderson Serangoon Junior College
Victoria Junior College
Eunoia Junior College
Temasek Junior College
National Junior College
Dunman High School
River Valley High School
Tanjong Katong Girls' School
Bukit View Secondary School
Swiss Cottage Secondary School

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