Find a quadratic equation whose roots are 2.5 +3and 2.5 –3, expressing it in the formax2+ bx + c = 0Where a, b and c are integers13.Find the products of 17.3 and 13.8.Find also the percentage error in getting the product.14.(a) Complete the table below for the equation :- y = x2+ 3x – 6for -6x4(b) Using a scale 1cm to represent 2 units in both axes. Draw the graph of y = x2+ 3x – 6(c) Use your graph to solve:-(i) X2+ 3X = 6(ii) X2+ 3X – 2 = 015.(a) Complete the table for the function:y = 2x2+ 3x + 1x- 4-3-2-101232x2180183x + 1-7010y1116(b) Use the table in(a)above to draw the graph : - y = 2x2+ 3x + 1 for -4x3(c) Use the graph in(b)to solve the equation :-(i) 2x2+ 4x – 3 = 0(ii) x2+ 3x + 2 = 3216.A youth group decided to raise Ksh 480,000 to buy a piece of land costing Ksh. 80,000 perhectare. Before the actual payment was made, four of the members pulled out and each of thoseremaining had to pay an additional Kshs. 20,000.(a) If the original number of the group members wasx, write down;(i) An expression of how much each was to contribute originally.(ii) An expression of how the remaining members were to contribute after the four pulled out.(b) Determine the number of members who actually contributed towards the purchase of theland.(c) Calculate the ratio of the supposed original contribution to the new contribution.(d) If the land was sub-divided equally, find the size of land each member got.(2 mk)17.a) Draw the graph of y = 2x2+x– 2 given the range-3 ≤x≤ 2b) Use your graph above to solvei) 2x2+x– 2 =0x-6-5-4-3-2-101234y12-6-622

ii) 2x2+x– 3 =0iii) 2x2+x-5 =018.Three planesA,BandCleave an airportPsimultaneously at 9.30a.m. PlaneAflies ona bearing of 070ofrom P at a speed of 400km/h. PlaneBflies on a bearing of 290oat aspeed of 500km/h. Plane C flies on a bearing of 162ofromPat a speed of 300km/h.(Use scale drawing for this question)(a) Show by scale drawing, the relative positions of the 3planes A, B and C three hoursafter leavingairport P. (Use scale 1cm represents 200km)(b) After 3 hours,Bturns and head straight to the current position ofAat the samespeed it had.Determine the scale drawing , the time it takes to reach this point, tothe nearest minute(c) Determine the bearing and distance ofBfromCafter the first 3 hours of flight afterleavingP19.a) Use trapezoidal rule to find the area between the curve y = x2+ 4x + 4, the x- axis and theco-ordinates x = - 2 and x = 1. Take values of x at intervals of ½ unit.b) Use integration to find the exact area. Hence find the percentage error in your approximation.20.a) Use trapezoidal rule to find the area between the curve y = x2+ 4x + 4, the x- axis and theco-ordinates x = - 2 and x = 1. Take values of x at intervals of ½ unit.b) Use integration to find the exact area. Hence find the percentage error in your approximation.21.Draw the graph of y = 2x2– 4x - 5 for x between -3 and 5 on the grid provided(a) State the line of symmetry for the graph(b) State the range of values for which 2x2– 4x – 50(c) On the same set of axes, draw the graph of y=2x +3(d) Determine the solutions to the equation: 2x2– 4x – 5 = 2x +322.Complete the table below for the equation y = 5 + 3x -2x2by filling in the blank spaceX-2-1.5-1-0.500.511.522.533.5Y-9366-4(i) Use the values from the table above to draw the graph of y = 5 + 3x -2x2(3mks(ii) Use the graph to:-(a)Find the maximum point of the function5 + 3x -2x2(b) Determine the range of values and give the integral values which satisfythe inequality 5 + 3x -2x

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Term

Fall

Professor

ANYANZWA

Tags

Orders of magnitude, United States dollar