Answer:
17x² + 2x – 3
Step-by-step explanation:
(9x2 + 3x – 5) + (8x2 – x + 2) →
(9x² + 3x – 5) + (8x² – x + 2) →
[Group like terms]
(9x² + 8x²) + (3x – x) + (2 – 5) →
[Simplify]
17x² + 2x – 3
<span>46 square inches
If you look at the figure in the diagram, you'll see that it consist of two rectangles next to each other. So the area of the entire figure is the sum of the area of both rectangles. The leftmost rectangle is 5 inches by 6 inches for an area of 30 square inches. The right triangle is a skinny rectangle that is 8 inches by 2 inches for an area of 16 square inches. And 30 square inches plus 16 square inches equals 46 square inches.
An alternate way of considering the problem is that it's one large rectangle that's (5+8 = 13) inches long and 6 inches tall equaling 78 square inches, minus 2 other rectangles, both of which are 2 inches by 8 inches for an area of 16 square inches. And finally 78 square inches minus 16 square inches minus 16 square inches equals 46 square inches.</span>
The option B, perfectly gives it to the target, because if you think about it, four less, means 4-, but backwards, and three times, means 3x, and if you put that together, that perfectly matches the one you are looking for.
Hope that this would help you!
