I'm assuming there is a typo in the question, and the expression is actually "6x+40". That expression factored is 2(3x+20).
Answer:
![log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1](https://tex.z-dn.net/?f=log_3%28%5Cfrac%7B21%7D%7B5%7D%29%20%3D%20log_3%287%29%20-%20log_3%285%29%2B%201)
Step-by-step explanation:
Given
![log_3(\frac{21}{5})](https://tex.z-dn.net/?f=log_3%28%5Cfrac%7B21%7D%7B5%7D%29)
Required
Express in terms of
and ![log_3(7)](https://tex.z-dn.net/?f=log_3%287%29)
![log_3(\frac{21}{5})](https://tex.z-dn.net/?f=log_3%28%5Cfrac%7B21%7D%7B5%7D%29)
Express 21 as 7 * 3
![log_3(\frac{21}{5}) = log_3(\frac{7 * 3}{5})](https://tex.z-dn.net/?f=log_3%28%5Cfrac%7B21%7D%7B5%7D%29%20%3D%20log_3%28%5Cfrac%7B7%20%2A%203%7D%7B5%7D%29)
Apply law of logarithm
![log_3(\frac{21}{5}) = log_3(7) + log_3(3) - log_3(5)](https://tex.z-dn.net/?f=log_3%28%5Cfrac%7B21%7D%7B5%7D%29%20%3D%20log_3%287%29%20%2B%20log_3%283%29%20-%20log_3%285%29)
. So, we have:
![log_3(\frac{21}{5}) = log_3(7) + 1 - log_3(5)](https://tex.z-dn.net/?f=log_3%28%5Cfrac%7B21%7D%7B5%7D%29%20%3D%20log_3%287%29%20%2B%201%20-%20log_3%285%29)
Rewrite:
![log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1](https://tex.z-dn.net/?f=log_3%28%5Cfrac%7B21%7D%7B5%7D%29%20%3D%20log_3%287%29%20-%20log_3%285%29%2B%201)
Answer:
a=10 students because there are 10 answers.
b=5
Step-by-step explanation:
a=10 students because there are 10 answers.
b, you need to list the numbers all out and rearrange them from smallest to largest.
0, 0, 1, 2, 3, 7, 9, 10, 13, 15
The median means the middle which is 3 and 7
Because we have two numbers, we need to find the middle number of 3 and 7 which is <u><em>5</em></u>
√-1. the i represents an imaginary number where you take the square root of -1.
<h3>
Answer: -4</h3>
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Explanation:
We can pick any two rows from the table to get the (x,y) points needed to find the slope.
Let's say we pick the second and third rows
Subtract the y values: 14-6 = 8
Subtract the x values in the same order: 1-3 = -2
Divide the differences: 8/(-2) = -4
The slope is -4
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You can use the slope formula
Let's say the points are (x1,y1) = (1,14) and (3,6)
m = (y2-y1)/(x2-x1)
m = (6-14)/(3-1)
m = -8/2
m = -4
It's the same basic idea as the previous section. You subtract the y values together (y2-y1) and the x values together (x2-x1) and divide the differences to get m. The order of subtraction doesn't matter as long as you stay consistent. If you do something like y2-y1 and x1-x2, then you'll get the wrong slope value.