9.1 For any two events, A and B, it is given that P(A) = 0,48 and P(B) = 0,26. Determine: 9.1.1 P(A and B) if A and B are independent events (2) 9.1.2 P(A or B) if A and B are mutually exclusive events (2) 9.2 A survey was conducted among 130 Grade 11 learners … Read more
8.1 The purchase price of a car five years ago was R200 000. The current book value of the car is R85 000. Using the reducing-balance method of deprecation, calculate the annual rate of deprecation. (3) 8.2 An amount of money was invested at a rate of 8,5% p.a., compounded quarterly. Calculate the effective interest … Read more
The point A(3 ; 54) lies on the graph of f(x) = 3x+p -27. 7.1 Determine the value of p. (3) 7.2 Determine the range of f. (2) 7.3 Graph g is obtained by reflecting graph f about the x-axis. Determine the coordinates of the y-intercept of g. (2) [7]
The diagram below shows the graphs of f(x)=-x2 + 2x+15 and g(x)=-3x+k. Graph f cuts the x-axis at A(-3 ; 0) and B(5 ; 0), the y-axis at C and has a turning point at D. Graph g cuts the x-axis at B and the y-axis at C. E is a point on g such … Read more
Given: 5.1 Show that f (x) can be written as (2) 5.2 Write down the equations of the asymptotes of f. (2) 5.3 Determine the x-intercept of f. (3) 5.4 Determine the y-intercept of f. (2) 5.5 Sketch the graph of f. Show clearly ALL the intercepts with axes and the asymptotes. (3) 5.6 Determine … Read more
4.1 The following number patter is given: 13 ; 27 ; 45 ; 67 ; … 4.1.1 Is this a quadratic number pattern? Justify your answer with relevant calculations. (2) 4.1.2 Determine the general term, Tn , of the quadratic number pattern. (4) 4.1.3 Calculate the value of T100. (2) 4.1.4 The first difference between … Read more
Given the linear pattern: -5 ; 0 ; 5 ; … 3.1 Determine the general term, Tn , of the linear pattern. (2) 3.2 Calculate the value of T12 . (2) 3.3 Which term in the patter has a value of 130? (2) [6]
2.1 Simplify fully, WITHOUT using a calculator: (4) 2.2 Solve for x: 2.2.1 (3) 2.2.2 (3) 2.2.3 (5) 2.3 WITHOUT using a calculator, show that simplifies to (5) [20]
1.1 Solve for x in each of the following: 1.1.1 2x(x-3)=0 (2) 1.1.2 (correct to TWO decimal places) (4) 1.1.3 (3) 1.1.4 (5) 1.2 Solve for x and y simultaneously if: 1.3 Discuss the nature of the roots of the equation (2) 1.4 Determine the value(s) of p if g(x)=-2x² – px+ 3 has a … Read more