Arnold uses a recipe to make rock cakes. The ingredients are self-raising flour, butter and sugar in the ratio 7:3:2 by weight. Arnold has 900 g of self raising flour, 600g of butter and 450g of sugar. Each rock cake needs about 48 grams of mixture. Work out the largest number of rock cakes that Arnold can make.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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answer:   y=2x-3

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they disappear if your absent from to long. i found out that the hard way.

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