They're not equivalent.
(vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).
(square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as --- it depends on what your textbook/source says).
To solve , you first transform it into the equivalent equation . Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.
[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so , thus a solution for the second equation is x = 10
The floor of 10.1 is 10, so , thus another solution for the second equation is x = 10.1.
The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.
Answer:
Step 3
Step-by-step explanation:
In Step 3, he divided 8 by 4 when he should've done 32 divided by 8 first.
(I don't know if it's considered to be in Step 2 or Step 3, so if Step 3 is wrong, then it's Step 2.)
I hope this helps! Have a lovely day!! :)
Answer:
i would say A. a convenience sample that is not representative of all first-year college students. there are more than 20 first-year college students in the world so obviously only talking to 20 of them won't be representative of /everyone/
and the convenience is that she only handed them out to people in the library; where she spends most of her time, therefore making it more convenient for her.
Step-by-step explanation:
(please mark brainliest if i am correct)
10. 884.222 (2 is recurring)