Answer:
a) ![\frac{f(x+h)-f(x)}{h}=\frac{-5}{(x+h-3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-5%7D%7B%28x%2Bh-3%29%28x-3%29%7D)
b) ![\frac{f(h-6)-f(-6)}{h}=\frac{5}{9h-81}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28h-6%29-f%28-6%29%7D%7Bh%7D%3D%5Cfrac%7B5%7D%7B9h-81%7D)
Step-by-step explanation:
The given function is ![f(x)=\frac{5}{x-3}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B5%7D%7Bx-3%7D)
![f(x+h)=\frac{5}{x+h-3}](https://tex.z-dn.net/?f=f%28x%2Bh%29%3D%5Cfrac%7B5%7D%7Bx%2Bh-3%7D)
![\frac{f(x+h)-f(x)}{h}=\frac{\frac{5}{x+h-3}-\frac{5}{x-3}}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B%5Cfrac%7B5%7D%7Bx%2Bh-3%7D-%5Cfrac%7B5%7D%7Bx-3%7D%7D%7Bh%7D)
![\frac{f(x+h)-f(x)}{h}=\frac{5(x-3)-5(x+h-3)}{h(x+h-3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B5%28x-3%29-5%28x%2Bh-3%29%7D%7Bh%28x%2Bh-3%29%28x-3%29%7D)
![\frac{f(x+h)-f(x)}{h}=\frac{5x-15-5x-5h+15}{h(x+h-3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B5x-15-5x-5h%2B15%7D%7Bh%28x%2Bh-3%29%28x-3%29%7D)
![\frac{f(x+h)-f(x)}{h}=\frac{-5h}{h(x+h-3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-5h%7D%7Bh%28x%2Bh-3%29%28x-3%29%7D)
![\frac{f(x+h)-f(x)}{h}=\frac{-5}{(x+h-3)(x-3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D%3D%5Cfrac%7B-5%7D%7B%28x%2Bh-3%29%28x-3%29%7D)
When x=-6
![\frac{f(h-6)-f(-6)}{h}=\frac{-5}{(-6+h-3)(-6-3)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28h-6%29-f%28-6%29%7D%7Bh%7D%3D%5Cfrac%7B-5%7D%7B%28-6%2Bh-3%29%28-6-3%29%7D)
![\frac{f(h-6)-f(-6)}{h}=\frac{-5}{(h-9)(-9)}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28h-6%29-f%28-6%29%7D%7Bh%7D%3D%5Cfrac%7B-5%7D%7B%28h-9%29%28-9%29%7D)
![\frac{f(h-6)-f(-6)}{h}=\frac{5}{9h-81}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28h-6%29-f%28-6%29%7D%7Bh%7D%3D%5Cfrac%7B5%7D%7B9h-81%7D)
You have 1/4 divided by 2 which is the same as 1/4 divided by 2/1. First, find the reciprocal of 2/1 which is 1/2. You now have the problem 1/4 x 1/2. Multiple across.
9514 1404 393
Answer:
x² +y² = 16
Step-by-step explanation:
The diagonal of a square is √2 times the side length, so the diameter of a circumscribed circle is √2 times the diameter of an inscribed circle. Each of the two outer circles is √2 times the diameter of the one just inside it, so the outer circle is (√2)(√2) = 2 times the diameter of the inner circle.
The equation of the largest circle with radius 2·2=4 is ...
x² +y² = 16
Each friend receives 2 bags because 4 divided by 8 is 2
Answer:
the total earnings is $58
Step-by-step explanation:
The computation of earnings is shown below:
= Time spent in filling paperwork + time spent in sending emails + time spent in making appointments
= (1 5 ÷ 12 × $10.50) + (1 3 ÷ 4 × $10.50) + (2 1 ÷ 3 × $10.50)
= 14.875 + 18.375 + 24.50
= $57.75
Hence, the total earnings is $58
The same is to be considered