Step-by-step explanation:
The figure below shows a portion of the graph of the function
, hence the average rate of change (slope of the blue line) between the
and
is
![\text{Average rate of change} \ = \ \displaystyle\frac{\Delta y}{\Delta x} \\ \\ \rule{3.7cm}{0cm} = \dsiplaystyle\frac{f\left(x+h\right) \ - \ f\left(x\right)}{\left(x \ + \ h \right) \ - \ x} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{f\left(x + h\right) \ - \ f\left(x\right)}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x+h-2} \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x-2+h} \ - \ 4^{x-2}}{h}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%20%5C%20%3D%20%5C%20%5Cdisplaystyle%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%20%5C%5C%20%5C%5C%20%5Crule%7B3.7cm%7D%7B0cm%7D%20%3D%20%5Cdsiplaystyle%5Cfrac%7Bf%5Cleft%28x%2Bh%5Cright%29%20%5C%20-%20%5C%20f%5Cleft%28x%5Cright%29%7D%7B%5Cleft%28x%20%5C%20%2B%20%5C%20h%20%5Cright%29%20%5C%20-%20%5C%20x%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%20%5Crule%7B3.7cm%7D%7B0cm%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bf%5Cleft%28x%20%2B%20h%5Cright%29%20%5C%20-%20%5C%20f%5Cleft%28x%5Cright%29%7D%7Bh%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Crule%7B3.7cm%7D%7B0cm%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B4%5E%7Bx%2Bh-2%7D%20%5C%20-%20%5C%204%5E%7Bx-2%7D%7D%7Bh%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Crule%7B3.7cm%7D%7B0cm%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B4%5E%7Bx-2%2Bh%7D%20%5C%20-%20%5C%204%5E%7Bx-2%7D%7D%7Bh%7D)
![\\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h}\right) \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h} \ - \ 1 \right)}{h}](https://tex.z-dn.net/?f=%5C%5C%20%5C%5C%20%5C%5C%20%5Crule%7B3.7cm%7D%7B0cm%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B%5Cleft%284%5E%7Bx-2%7D%5Cright%29%5Cleft%284%5E%7Bh%7D%5Cright%29%20%5C%20-%20%5C%204%5E%7Bx-2%7D%7D%7Bh%7D%20%5C%5C%20%5C%5C%20%5C%5C%20%5Crule%7B3.7cm%7D%7B0cm%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B%5Cleft%284%5E%7Bx-2%7D%5Cright%29%5Cleft%284%5E%7Bh%7D%20%5C%20-%20%5C%201%20%5Cright%29%7D%7Bh%7D)
Answer:
<em>78 eggs</em>
Step-by-step explanation:
13 × 6 = 78 eggs
Hope this helps! :)
Converse means switching the hypothesis and conclusion of a conditional statement. The converse of x > y, is y > x. Therefore, the answer to your question is y > x, switching the hypothesis and conclusion of the statement.
Step-by-step explanation:
1. cd and dg
2. angle 2
3. angle gde
4. angle cdh
5. cde is st line
6.cdf = cdh+hdf = 42+117= 159
7. angle fde = 90-73=17
Answer:
just guess i do that
Step-by-step explanation:
yay