Question

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Answer 1

$8) \: M(x,y) = \frac{3x - 2y}{2} \\ M(5,7) = \frac{3(5) - 2(7)}{2} = \frac{1}{2} = 0.5 \\ M(7,5) = \frac{3(7) - 2(5)}{2} = \frac{11}{2} = 5.5 \\ M(5,7) - M(7,5) = 0.5 - 5.5 = - 5$

$9) \: P(x - 2) = x + 8 \\ \\ x - 2 = 2 \\ x = 4\\ P(2) = 4 + 8 = 12 \\ \\ x - 2 = - 2 \\ x = 0 \\ P( - 2) = 0 + 8 = 8\\ \\ P(2) + P( - 2) \\ 12 + 8 \\ 20$

$10) \: M(x + 3) = 7x + 8 \\ \\ x + 3 = 5 \\ x = 2 \\ M(5) = 7(2) + 8 = 22 \\ \\ x + 3 = 2 \\ x = - 1 \\ M(2) = 7( - 1) + 8 = 1 \\ \\ M(5) + M(2) \\ 22 + 1 \\ 23$