Answer: the cube root of 512 is 8.
Step-by-step explanation:
First divide 512 and take the least factors as I have shown,
512= 2×2×2×2×2×2×2×2×2
Now, make the triple twins of these factors,
(2×2×2)(2×2×2)(2×2×2)
Now, take one number from each pair and multiply them,
2×2×2=8
Therefore, the answer of the cube root of 512 is 8.
First, we can factor this to make it easier to solve:
3(x^3 + 13x^2 + 13x + 9)
Now, we can use the rational root theorem like so:
List factors of 9:
1, 3, 9.
List factors of 1:
1
Because of this, we know our possible rational roots are:
+/-1, +/-3, +/-9
If none of these zeros fit using the remainder theorem, then we know our roots will be irrational.
Answer:
domain = neg infinity, infinity
range = neg infinity, infinity
Step-by-step explanation:
domain is asking x values which the graph will pass through. since the line is continuous, it touches EVERY x value, same with range and y values.
Answer:

Step-by-step explanation:
From the number line, the solution to the inequality is x<4 or x>5.
We can write x<4 in interval notation as (-∞,4) and x>5 as (5,∞).
The "or" represents the union of the two intervals.
Therefore the solution to the given inequality in interval notation is:

The third choice is the correct answer.
I really don’t understand it but can you do a little more explaining