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.
Sum means add, a number means x, and four means, uh, 4...
x+4. is what you're looking for
Answer:
lions=105 elephants=252
Step-by-step explanation:
We know that there is a total of 375 lions and elephants. We also know the ratio of those. With these two we can build an equation that gives us the exact number of each of the two species.
We can multiply the ratio by x:
(5/12)*(x/x)
now we have:
5x/12x
we input these new data into the total number of both animals:
5x+12x=357
17x=357
x=357/17
x=21
remember x is not the number of any of the animals
number of lions is 5x=5*21=105
number of elephants is 12x=12*21=252
<em> 195 yards²</em>
- Step-by-step explanation:
<em><u>Area of rhombus (formula)</u></em>
<em>A = (d₁ₓd₂)/2</em>
<em>d₁ = 2ₓ7,5yd = 15 yd</em>
<em>d₂ = 2ₓ13yd = 26 yd</em>
<em>A = (15ydₓ26yd)/2</em>
<em>= 15ydₓ13yd</em>
<em>= 195 yards²</em>
<span>prime factors are prime numbers that are factors of the given number. the given number should be divisible by its factors.
to find the prime factors of 63, we have to keep dividing 63 by divisible prime numbers.
63 / 3 = 21 21 / 3 = 7 7 / 7 = 1 63 was divided by 3, 3 and 7 which are all prime numbers.
therefore 63 as a product of prime numbers are 63 = 3 x 3 x 7</span>