Answer:
Step-by-step explanation:
Let's take a real situation. Suppose he has 1500 books in total
2/3 of them are fiction. Of means multiply.
them = 1500
2/3 * 1500 = 3000/3 = 1000
Now of the one thousand fiction books 4/5 of them are mysteries.
4/5 * 1000 = 4000/5 = 800.
Now let's see what happens when we just do this by answering the question directly.
2/3 * 4/5 = 8/15 This has the meaning that 8 out of every 15 books = mysteries.
Try this on the 1500 books.
8/15 * 1500 = 9000/15 = 800. So the answers are the same and the answer the computer expects should be 8/15 or 0.533333333
Just to check, does 0.5333333 * 1500 = 800? Try it.
Answer:
d
Step-by-step explanation:
if am not wrong I think the answer is d the last one
You add the 3 and -1 and then devide 5 than when you put your answer dont forget the sqared. hope this help you.
Answer:
The answer is expression 4㏒w(x² - 6) - (1/3)㏒w(x² + 8) ⇒ 3rd answer
Step-by-step explanation:
* Lets revise some rules of the logarithmic functions
- log(a^n) = n log(a)
- log(a) + log(b) = log(ab) ⇒ vice versa
- log(a) - log(b) = log(a/b) ⇒ vice versa
* Lets solve the problem
- The expression is
![log_{w}\frac{(x^{2}-6)^{4}}{\sqrt[3]{x^{2}+8}}](https://tex.z-dn.net/?f=log_%7Bw%7D%5Cfrac%7B%28x%5E%7B2%7D-6%29%5E%7B4%7D%7D%7B%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D%7D)
∵ log(a/b) = log(a) - log(b)
∴ ![log_{w}(x^{2}-6)^{4}-log_{w}\sqrt[3]{x^{2}+8}](https://tex.z-dn.net/?f=log_%7Bw%7D%28x%5E%7B2%7D-6%29%5E%7B4%7D-log_%7Bw%7D%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D)
∵ ∛(x² + 8) can be written as (x² + 8)^(1/3)
∵ log(a^n) = n log(a)
∴ 
∴ ![log_{w}\sqrt[3]{x^{2}+8}=\frac{1}{3} log_{w} (x^{2}+8)](https://tex.z-dn.net/?f=log_%7Bw%7D%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%2B8%7D%3D%5Cfrac%7B1%7D%7B3%7D%20log_%7Bw%7D%20%28x%5E%7B2%7D%2B8%29)
∴ 
* The answer is expression 4㏒w(x² - 6) - (1/3)㏒w(x² + 8)
