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kari74 [83]
3 years ago
9

Need explanation too

SAT
1 answer:
hram777 [196]3 years ago
8 0

Answer:

A) M(x) = 3/2x² - 6

Explanation:

Area of the figure

= Area of the triangle + Area of the rectangle

=  (\frac{1}{2}  \times b \times h) + (l \times b)

= ( \frac{1}{2}  \times x + 2 \times x) + (x + 2)(x - 3)

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

=  (\frac{ {x}^{2} }{2}  +  \frac{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

=  \frac{3}{2}  {x}^{2}  - 6

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