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Rearranging the second equation gives x=2y+1. Substituting this into equation 1 gives (2y+1)²+y²=13.Rearrangingthis and factorising the quadratic equation gives (5y-6)(y+2)=0, giving...

At the end of each group. Say you have a table of groups and frequencies corresponding to those groups, for example for x we have group 0<x<=5 with frequency 6 and group 5<x<=15 with frequency...

The equation of the line will be in the set form for a straight line, this being y = mx + cHence substitute the x and y values of one of the points into this equation.Repeat for the other coordinate.Hence...

72 cards5/9 are green = 72/(5/9) = 40 green marbles72 - 40 = 32 red marbles

First of all you need to work out the total number of pens. 7+4+6=17. How many of these 17 pens are blue? 7. If you pick one pen out of the 17, 7 of them would be blue. To work out the probability, you n...