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.
I don’t know sorryyyy Answer:
Step-by-step explanation:
D/t=r
d/r=t
tr=d
we will use
d/t=r
d=480
t=3
480/3=r=160
rate is 160 miles per hour
Answer:
D. 28 cm
Step-by-step explanation:
P=4s
P=4(7)
P=28