opposites are also called additive inverse and have the sum of zero.
Step-by-step explanation:
14*10^0.5w=100
![14*10^{0.5w}=100](https://tex.z-dn.net/?f=14%2A10%5E%7B0.5w%7D%3D100)
Solve the equation for w
divide by 14 on both sides
![10^{0.5w}=\frac{100}{14}](https://tex.z-dn.net/?f=10%5E%7B0.5w%7D%3D%5Cfrac%7B100%7D%7B14%7D)
Convert exponential form into log form
base is 10 so we convert into log form
log (a)= x then a=10^x
![10^{0.5w}=\frac{100}{14}](https://tex.z-dn.net/?f=10%5E%7B0.5w%7D%3D%5Cfrac%7B100%7D%7B14%7D)
![0.5w = log(\frac{100}{14} )\\0.5w = log(\frac{50}{7} )\\\\](https://tex.z-dn.net/?f=0.5w%20%3D%20log%28%5Cfrac%7B100%7D%7B14%7D%20%29%5C%5C0.5w%20%3D%20log%28%5Cfrac%7B50%7D%7B7%7D%20%29%5C%5C%5C%5C)
divide both sides by 0.5
![0.5w = log(\frac{50}{7} )\\\\\\w= 2 log(\frac{50}{7} )](https://tex.z-dn.net/?f=0.5w%20%3D%20log%28%5Cfrac%7B50%7D%7B7%7D%20%29%5C%5C%5C%5C%5C%5Cw%3D%202%20log%28%5Cfrac%7B50%7D%7B7%7D%20%29)
Answer:
![w= 2 log(\frac{50}{7} )](https://tex.z-dn.net/?f=w%3D%202%20log%28%5Cfrac%7B50%7D%7B7%7D%20%29)
Answer:
-8/3
Step-by-step explanation:
The line intersects the point (1, 4). It also intersects the point (4,-4). Slope is rise over run. Between these two points, the rise is -8 (it decreases by 8) and the run is 3 (the x goes up from 1 to 4). Rise=-8 over Run=3 so -8/3. Hope this helps!
U means "Union" or all the numbers from one set and all the numbers from the other set combined. So your answer is any of the numbers included in one set or the other or both.