The correct answer to this is y = 10 - 0.05x which is D.
![\frac{p(x)}{x-3} = 4x-5 + \frac{6}{x-3}](https://tex.z-dn.net/?f=%5Cfrac%7Bp%28x%29%7D%7Bx-3%7D%20%3D%204x-5%20%2B%20%5Cfrac%7B6%7D%7Bx-3%7D%20)
The polynomial p(x) can be found by multiplying 'x-3' to every term
![p(x) = (4x-5)(x-3) + 6](https://tex.z-dn.net/?f=p%28x%29%20%3D%20%284x-5%29%28x-3%29%20%2B%206)
Now distribute and you have your answer.
Answer:
Answer (a): Area of garden ![= 4x^2+12x+9](https://tex.z-dn.net/?f=%3D%204x%5E2%2B12x%2B9)
Answer (b): Area of the square garden and the walkway = ![16x^2+24x+9](https://tex.z-dn.net/?f=16x%5E2%2B24x%2B9)
Step-by-step explanation:
Answer (a):
From given picture we see that Length of the garden = 2x+3
Width of the garden = 2x+3
Then area of the square garden = (Length)(Width)
![= (2x+3)(2x+3)](https://tex.z-dn.net/?f=%3D%20%282x%2B3%29%282x%2B3%29)
![= 4x^2+6x+6x+9](https://tex.z-dn.net/?f=%3D%204x%5E2%2B6x%2B6x%2B9)
![= 4x^2+12x+9](https://tex.z-dn.net/?f=%3D%204x%5E2%2B12x%2B9)
Answer (b):
From given picture we see that width of the walkway = x
Then length of the garden including walkway =x + (2x+3) +x=4x+3
Similarly width of the garden = 4x+3
Then area of the square garden and the walkway = (Length)(Width)
![= (4x+3)(4x+3)](https://tex.z-dn.net/?f=%3D%20%284x%2B3%29%284x%2B3%29)
![= 16x^2+12x+12x+9](https://tex.z-dn.net/?f=%3D%2016x%5E2%2B12x%2B12x%2B9)
![= 16x^2+24x+9](https://tex.z-dn.net/?f=%3D%2016x%5E2%2B24x%2B9)
B. Discount because when taking a percentage of the price off you are discounting the item