Answer:
1. 3 x 2 = 6 / 4 x 3 = 12 = 6/12 [simplify] = 1/2 thats the first answer, just do how i did it to get the others, its pretty simple
Answer:
![\dfrac{f(4+h)-f(4)}{h}=8h-20](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%284%2Bh%29-f%284%29%7D%7Bh%7D%3D8h-20)
Step-by-step explanation:
We are given the following in the question:
![f(x) = 8x^2-84x+6](https://tex.z-dn.net/?f=f%28x%29%20%3D%208x%5E2-84x%2B6)
We have to evaluate:
![\dfrac{f(4+h)-f(4)}{(4+h)-4}=\dfrac{f(4+h)-f(4)}{h}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%284%2Bh%29-f%284%29%7D%7B%284%2Bh%29-4%7D%3D%5Cdfrac%7Bf%284%2Bh%29-f%284%29%7D%7Bh%7D)
![f(4+h) = 8(4+h)^2-84(4+h)+6\\= 8(16+h^2+8h)-84(4+h)+6\\=128+8h^2+64h-336-84h+6\\=8h^2-20h-202](https://tex.z-dn.net/?f=f%284%2Bh%29%20%3D%208%284%2Bh%29%5E2-84%284%2Bh%29%2B6%5C%5C%3D%208%2816%2Bh%5E2%2B8h%29-84%284%2Bh%29%2B6%5C%5C%3D128%2B8h%5E2%2B64h-336-84h%2B6%5C%5C%3D8h%5E2-20h-202)
![f(4) = 8(4)^2-84(4)+6 = -202](https://tex.z-dn.net/?f=f%284%29%20%3D%208%284%29%5E2-84%284%29%2B6%20%3D%20-202)
Putting values, we get
![\dfrac{f(4+h)-f(4)}{h}\\\\=\dfrac{8h^2-20h-202+202}{h}\\\\=\dfrac{8h^2-20h}{h}\\\\=8h-20](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%284%2Bh%29-f%284%29%7D%7Bh%7D%5C%5C%5C%5C%3D%5Cdfrac%7B8h%5E2-20h-202%2B202%7D%7Bh%7D%5C%5C%5C%5C%3D%5Cdfrac%7B8h%5E2-20h%7D%7Bh%7D%5C%5C%5C%5C%3D8h-20)
Answer:
option c I think as the correct answer.
Step-by-step explanation:
hope this helps you.
Answer:
6 goats and 6 ducks
Step-by-step explanation: