maths

7.1 For two events A and B, it is given that P(A) = 0,30 ; P(B) = 0,65 and P(A or B) = 0,74. 7.1.1 Calculate P(A and B). (2) 7.1.2 Hence, represent the above information in a Venn diagram. (4) 7.1.3 Are the events A and B mutually exclusive? Give a reason. (2) 7.2 … Read more

The graphs defined as g(x) = ax2 + q and f(x) = kx – 4 both pass through (-2 ; 0) on the x-axis. The y-intercept of g is (0 ; -5). 6.1 Write down the: 6.1.1 Equation of the asymptote of f (1) 6.1.2 Value of q (1) 6.1.3 Coordinates of the other x-intercept … Read more

The equation of the horizontal asymptote of f is y = 1. Graph g cuts the x-axis at B. Graphs f and g intersect at A and B. 5.1 Write down the: 5.1.1 Value of q (1) 5.1.2 Domain of f (2) 5.2 Determine the: 5.2.1 Equation of the line of symmetry of f that … Read more

4.1 Peter wants to buy a computer costing R7 950, on a hire-purchase agreement. The conditions of the agreement are: Peter must pay a deposit of 25% of the purchase price. Interest is charged at 15% per annum simple interest on the balance. He must also pay a compulsory monthly insurance premium of R70,75. The … Read more

3.1 Given the linear pattern: 2x + 1 ; 3x + 3 ; 4x + 5 ; . . . 3.1.1 Write down the next term in the pattern. (1) 3.1.2 Write, in terms of x, the formula for Tn, the general term of the pattern. (3) 3.1.3 If the value of the 13th term … Read more