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Mathematical Problem Solving And Algebraic Applications

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    Mathematical Problem Solving and Algebraic Applications 1) - 2y - 8 =7+6y Or, - 2y - 6y= 7 + 8 Or, - 8y=15 Or, y= - 15/8 answer 2) F=9/5 C +32 Or, F=(9C + 160)/32 Or 32F=9c + 160 Or, 32F – 160=9c Or (32F - 160)/9=C So C= (32F - 160)/9 answer 3) Let initial salary was X Now 6 % raise she has got. So X + 6/100 X=21200 Or 106X/100=21200 Or X=20000 answer 4) {q,s,u,v,w,x,y,z} intersection {q,s,y,z} Intersection means common element between two brackets ={q,s,y,z} answer 5) 3m + 4=9

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    Or, 3m=9 - 4 Or, 3m=5 Or, m=5/3 answer 6) 2x+6 < 10 Or, 2x<4 Or, x<4/2 Or, x<2 answer 7) F(x)=x^2 – 3x +7 F(0)=0^2 – 3* 0 +7 F(0)=7 answer 8) Y=4X + 7 Compare it with line y=mx+c Where m=slope ,c =intercept So here slope=4,y - intercept=7 answer 9) The given lines are 3x - 4y= - 15…eqn1 8x+6y= - 15……eqn 2 Here slope m1=3/4 ans slope m2= - 4,3 Now if m1=m2 implies parallel line M1* m2= - 1 implies perpendicular line Here m1* m2=3/4 * - 4/3= - 1

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