Answer:
just apply the formulas then see dummy
Answer/Step-by-step explanation:
Given, ![b(x) = (\frac{6}{7})^{x}](https://tex.z-dn.net/?f=%20b%28x%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7Bx%7D%20)
The table for the function are:
When x = -2
![b(-2) = (\frac{6}{7})^{-2}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B-2%7D%20)
![b(-2) = \frac{1}{(\frac{6}{7})^{2}}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%5Cfrac%7B1%7D%7B%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B2%7D%7D%20)
![b(-2) = \frac{1}{(\frac{36}{49})}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%5Cfrac%7B1%7D%7B%28%5Cfrac%7B36%7D%7B49%7D%29%7D%20)
![b(-2) = 1*\frac{49}{36}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%201%2A%5Cfrac%7B49%7D%7B36%7D%20)
![b(-2) = \frac{49}{36}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%5Cfrac%7B49%7D%7B36%7D%20)
When x = -1
![b(-1) = (\frac{6}{7})^{-1}](https://tex.z-dn.net/?f=%20b%28-1%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B-1%7D%20)
![b(-1) = \frac{1}{(\frac{6}{7})}](https://tex.z-dn.net/?f=%20b%28-1%29%20%3D%20%5Cfrac%7B1%7D%7B%28%5Cfrac%7B6%7D%7B7%7D%29%7D%20)
![b(-1) = 1*\frac{7}{6}](https://tex.z-dn.net/?f=%20b%28-1%29%20%3D%201%2A%5Cfrac%7B7%7D%7B6%7D%20)
![b(-2) = \frac{7}{6}](https://tex.z-dn.net/?f=%20b%28-2%29%20%3D%20%5Cfrac%7B7%7D%7B6%7D%20)
When x = 0
![b(0) = (\frac{6}{7})^{0}](https://tex.z-dn.net/?f=%20b%280%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B0%7D%20)
![b(0) = \frac{6^0}{7^0}](https://tex.z-dn.net/?f=%20b%280%29%20%3D%20%5Cfrac%7B6%5E0%7D%7B7%5E0%7D%20)
![b(0) = \frac{1}{1}](https://tex.z-dn.net/?f=%20b%280%29%20%3D%20%5Cfrac%7B1%7D%7B1%7D%20)
![b(0) = 1](https://tex.z-dn.net/?f=%20b%280%29%20%3D%201%20)
When x = 1
![b(1) = (\frac{6}{7})^{1}](https://tex.z-dn.net/?f=%20b%281%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B1%7D%20)
![b(1) = \frac{6}{7}](https://tex.z-dn.net/?f=%20b%281%29%20%3D%20%5Cfrac%7B6%7D%7B7%7D%20)
When x = 2
![b(2) = (\frac{6}{7})^{2}](https://tex.z-dn.net/?f=%20b%282%29%20%3D%20%28%5Cfrac%7B6%7D%7B7%7D%29%5E%7B2%7D%20)
![b(2) = \frac{6^2}{7^2}](https://tex.z-dn.net/?f=%20b%282%29%20%3D%20%5Cfrac%7B6%5E2%7D%7B7%5E2%7D%20)
![b(2) = \frac{36}{49}](https://tex.z-dn.net/?f=%20b%282%29%20%3D%20%5Cfrac%7B36%7D%7B49%7D%20)
<u><em>Answer:</em></u>
<u><em>41. 4/5 of the room is left to clean</em></u>
<u><em>42. The talent show takes 19/8 hours to complete</em></u>
<u><em>43. 5/8 of the cookie dough is left</em></u>
<u><em>44. 5/6 feet more to get as tall as Tom</em></u>
<u><em>45. 11/3 hours total</em></u>
<u><em>46. 1/2 cup of chocolate chip</em></u>
<u><em>Step-by-step explanation:</em></u>
<u><em>Please give me brainliest :)</em></u>
Let x = total distance he covered
3x/4 by bus
1/2 . x/4 = x/8 by jogging
the remaining distance = x/8 by walking
thus x/8 = 800ft
x = 8 . 800 = 6400ft