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mention and describe five ways of Representing patterns


What is the mathematical convention about the use of alphabet letters as variables in algebra?


Qs=-x^2 +600x +25


how would you avoid confusion between the meaning of m and measurements unit


Find the inverse of f.determine the domain and range of resulting inverse function.f(x)=x²+2

It took nick two-thirds of an hour to complete his mathematics homework on Monday, one fourth of an hour on Tuesday.how many hours did it take him to complete his homework altogether?





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What is the number of sentence?




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 A boy is swinging on playground exercise gym. He swings through an arc of 1 m on his first swing. On each successive swing, he swings through an arc 70% of the previous length.

a) Show that the total distance the boy swings in his first n swings is 10

given by S  3 1 0.7 where n 1,2,3,.... nn

Hence, find the total distance travelled by the boy after six swings.


The volume of Alicia's swimming pool is 2,500

2,500 cubic feet. It has a pump that filters the water at a rate of 40

40 gallons per minute.

How can Alicia determine how long it will take the pump to filter all the water in the pool?


  1. A lifeguard has been given 500m of rope to enclose a rectangular swim area designated for toddlers and children. The swimming area will be accessed from the beach; therefore only three sides must be roped in. Determine the dimensions of the rectangle that would maximize the swimming area.

Represents this rational equation through table and graph. Identify whether the graph forms a straight line or a curve.



P(x) =x²+1/x+1