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Several mathematical problems about functions
1.( 1) Because X+Y = 8 and Y = 8-X,

Therefore, the triangle OPA has OA as its base and Y as its height, so S =1/2oa * y.

=>S= 1/2*6*(8-X)

=>S=24-3X

(2) Because X = 5, S = 24-3 * 5 = 9.

(3) No, because when S = 24, X must be 0, then point A falls right above the Y axis, which violates the meaning of point A in the first quadrant.

2. You can get Y=3X-4 by subtracting -8 from the straight line Y=3X+4, so you can get Y=3X-4 by moving Y=3X+4 to the right by 8 units.

That is, two straight lines are parallel.