Question

Need explanation too

Answer 1

A) M(x) = 3/2x² - 6

Step-by-step explanation:

Area of the figure

= Area of the triangle + Area of the rectangle

`= ((1)/(2) * b * h) + (l * b)`

`= ( (1)/(2) * x + 2 * x) + (x + 2)(x - 3)`

`= ( \frac{x {}^(2) + 2x }{2}) + (x(x - 3) + 2(x - 3))`

`= (\frac{ {x}^(2) }{2} + (2x)/(2) ) + ( {x}^(2) - 3x + 2x - 6)`

`= (\frac{ {x}^(2) }{2} + x) + ( {x}^(2) - x - 6)`

`= \frac{ {x}^(2) }{2} + x + {x}^(2) - x - 6`

`= ( \frac{ {x}^(2) }{2} + {x}^(2) ) + (x - x) - 6`

`= ( \frac{ {x}^(2) }{2} + \frac{ {2x}^(2) }{2} ) - 6`

`= \frac{ {3x}^(2) }{2} - 6`

`= (3)/(2) {x}^(2) - 6`