You have a 7 meter board. You wat to cut your board into 2/3 meter pieces. How long will each piece be? Set up and solve.
Given: The set of natural less than 7. Present set C in set-builder notation.
Set Notation Method:
C = _______________________
A restaurant offered cooking classes on 12 out of the 30 days in November. What decimal is equivalent to
the fraction of days in November that classes were offered at the restaurant?
A boat sails from port A to port B which is 50 km away on a bearing of 126 degrees from A. It then sails to C which is 46 km away on a bearing of 170degrees from B. The boat continues to sail on a course of 045degrees from C to D for 65 km.
(a) How far south of A is D? (4marks)
(b) How far east of A is D? (4marks)
(c) Calculate the bearing of D from A. (3marks)
(first draw the figure indicating the given data.) (4marks)
The curve y = aX^3– 2X^2– X + 7 has a gradient of 3 at the point where X =3.
Determine the value of a.
Using a =(3,4) and b=(2,-1) as base vectors, express the vector C =(7,2) in form ya+ub
If X^2+ bX +c and X^2+ dX + e have a common factor ( X – p ) show that p =e-c/b-d
find the roots of the quadratic equation X^2– x + k =0 and the value of the constant
k given that one root of the equation is twice the other.