The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y=0.6x2 and below the line y=120. (Distances are measured in meters.) The water level is 20 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure.

Step-by-step explanation:

addition

step-by-step explanation:

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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