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.
No because since multiplying by 10³ is multiplying by 10 times 10 times 10 which equals 1000 and multiplying by 10 factors of 3 is multiplying by 3 times 3 times 3 times 3…….for 10 times equals 59049
Step-by-step explanation:
B. 20 only
hope it helps.
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First off, you really don't need to write "what percent???" here.
25% of 80 is 0.25(80) = 20.