Answer:
i can see nothing
Step-by-step explanation:
Answer:
<h2>3x+12=0</h2><h2>3x=0-12</h2><h2>x=-12/3</h2><h2>hence x=(-4)</h2><h3>✌️✌️ HOPE IT HELPS</h3>
Answer:
Yep! an open dot is <
A closed dot means ≤
Hope this helps! :)
If you don't mind please mark as brainliest! :)
Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)
vagabundo [1.1K]
Answer:
Considering the given equation ![y = log_{3}x\\](https://tex.z-dn.net/?f=y%20%3D%20log_%7B3%7Dx%5C%5C)
And the ordered pairs in the format ![(x, y)](https://tex.z-dn.net/?f=%28x%2C%20y%29)
I don't know if it is log of base 3 or 10, but I will assume it is 3.
For ![(\frac{1}{3}, a_{0} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%2C%20a_%7B0%7D%20%29)
![y=a_{0}](https://tex.z-dn.net/?f=y%3Da_%7B0%7D)
![y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1](https://tex.z-dn.net/?f=y%20%3D%20log_%7B3%7Dx%5C%5Cy%20%3D%20log_%7B3%7D%28%5Cfrac%7B1%7D%7B3%7D%20%29%5C%5Cy%3D-%5Clog%20_3%5Cleft%283%5Cright%29%5C%5Cy%3D-1)
So the ordered pair will be ![(\frac{1}{3}, -1 )](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%2C%20-1%20%29)
For ![(1, a_{1} )](https://tex.z-dn.net/?f=%281%2C%20a_%7B1%7D%20%29)
![y=a_{1}](https://tex.z-dn.net/?f=y%3Da_%7B1%7D)
![y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0](https://tex.z-dn.net/?f=y%20%3D%20log_%7B3%7Dx%5C%5Cy%20%3D%20log_%7B3%7D1%5C%5Cy%20%3D%20log_%7B3%7D%281%29%5C%5CNote%3A%20%5Clog%20_a%281%29%3D0%5C%5Cy%20%3D%200)
So the ordered pair will be ![(1, 0 )](https://tex.z-dn.net/?f=%281%2C%200%20%29)
For ![(3, a_{2} )](https://tex.z-dn.net/?f=%283%2C%20a_%7B2%7D%20%29)
![y=a_{2}](https://tex.z-dn.net/?f=y%3Da_%7B2%7D)
![y = log_{3}x\\y = log_{3}3\\y = 1](https://tex.z-dn.net/?f=y%20%3D%20log_%7B3%7Dx%5C%5Cy%20%3D%20log_%7B3%7D3%5C%5Cy%20%3D%201)
So the ordered pair will be ![(3, 1 )](https://tex.z-dn.net/?f=%283%2C%201%20%29)
For ![(9, a_{3} )](https://tex.z-dn.net/?f=%289%2C%20a_%7B3%7D%20%29)
![y=a_{3}](https://tex.z-dn.net/?f=y%3Da_%7B3%7D)
![y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2](https://tex.z-dn.net/?f=y%20%3D%20log_%7B3%7Dx%5C%5Cy%20%3D%20log_%7B3%7D9%5C%5Cy%3D2%5Clog%20_3%5Cleft%283%5Cright%29%5C%5Cy%3D2)
So the ordered pair will be ![(9, 2 )](https://tex.z-dn.net/?f=%289%2C%202%20%29)
For ![(27, a_{4} )](https://tex.z-dn.net/?f=%2827%2C%20a_%7B4%7D%20%29)
![y=a_{4}](https://tex.z-dn.net/?f=y%3Da_%7B4%7D)
![y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3](https://tex.z-dn.net/?f=y%20%3D%20log_%7B3%7Dx%5C%5Cy%20%3D%20log_%7B3%7D27%5C%5Cy%3D3%5Clog%20_3%5Cleft%283%5Cright%29%5C%5Cy%3D3)
So the ordered pair will be ![(27, 3 )](https://tex.z-dn.net/?f=%2827%2C%203%20%29)
For ![(81, a_{5} )](https://tex.z-dn.net/?f=%2881%2C%20a_%7B5%7D%20%29)
![y=a_{5}](https://tex.z-dn.net/?f=y%3Da_%7B5%7D)
![y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4](https://tex.z-dn.net/?f=y%20%3D%20log_%7B3%7Dx%5C%5Cy%20%3D%20log_%7B3%7D81%5C%5Cy%3D4%5Clog%20_3%5Cleft%283%5Cright%29%5C%5Cy%3D4)
So the ordered pair will be ![(81, 4 )](https://tex.z-dn.net/?f=%2881%2C%204%20%29)
Answer:
3.5 hours
Step-by-step explanation:
Ediburgh -------------------------------350 miles-------------------------London
Let the distance traveled by train from Edin to London be "x"
hence the distance traveled by train from London to Edin would be "350-x"
- The rate of Edin to London train is 60
- The rate of London to Edin train is 40
Let the time they meet be"t"
Now, we know distance formula to be D = RT
Where
D is distance
R is rate
and
T is time
<u>Train from Edin to London:</u>
x = 60t
<u>Train from London to Edin:</u>
350-x = 40t
Solving for x:
350 - 40t = x
We put this into first equation:
x = 60t
350 - 40t = 60t
350 = 100t
t = 350/100
t = 3.5
They meet after 3.5 hours