Answer:
(-1,5)
(3, 1/125)
Step-by-step explanation:
g(x) = (1/5) ^x
Lets check the points
(1,0)
0 = (1/5) ^1
0 = 1/5 False this is not on the graph
(-1,5)
5 = (1/5) ^ -1
Remember negative exponents flip the fraction inside the parentheses
5 = 5/1 True this is on the graph
(3, 1/125)
1/125 = (1/5)^ 3
1/125 = 1^3/ 5^3
1/125 = 1/125 true this is on the graph
(-2,1/25)
1/25 = (1/5) ^-2
Remember negative exponents flip the fraction inside the parentheses
1/25 = 5^2/1^2
1/25 = 25 false this is not on the graph
Answer:
13. ![\frac{\sqrt[5]{x^4} }{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B5%5D%7Bx%5E4%7D%20%7D%7Bx%7D)
.
14. 
15. 2.
Step-by-step explanation:
13. 
= 
= 
= 
= 
= 
= 
= .
14. 
.
15. ![\sqrt[3]{2} * \sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%7D%20%2A%20%5Csqrt%5B3%5D%7B4%7D)
= ![\sqrt[3]{2 * 4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%20%2A%204%7D)
= ![\sqrt[3]{2 * 2 * 2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%20%2A%202%20%2A%202%7D)
= ![\sqrt[3]{2 ^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%20%5E3%7D)
= 2.
Hope this helps!
Answer:
45 degrees
Step-by-step explanation:
Part A
The equation is b = 36*a or simply b = 36a
We take the size of the farm 'a' and multiply it by 36 to get the number of bushels of corn 'b'.
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Part B
The 36 means there are 36 times more bushels of corn compared to the size of the farm in acres
For example, if the size is 2 acres then
b = 36*a
b = 36*2
b = 72
yielding 72 bushels of corn
-----------------------------------
Part C
Along the first row you should have: 25 and 30 in the missing blanks (over 900 and 1080 respectively)
You find this by dividing the value of b over 36
eg: b/36 = 900/36 = 25
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Then along the bottom row you should have the following for the blanks: 0, 360, 1800
These values are found by multiplying the 'a' value by 36
eg: if a = 10 then b = 36*a = 36*10 = 360
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Part D
Plot any two points you want from the table back in part C
So plot say (0,0) and (10,360). Then draw a straight line through those two points.
-----------------------------------
Part E
The point (30,1080) means a = 30 and b = 1080
So if the farm is 30 acres, then it can produce 1080 bushels of corn
Notice how
b = 36*a
b = 36*30 <<-- replace 'a' with 30
b = 180
And how this matches up with the fourth column of the table in part C. So you can use this part to get a hint of how to fill out the table (or at least know what one column looks like)
