Answer: 6.1 and 6.3
Step-by-step explanation: just did it
Here it is:
The first set has (0,1) and (0,5), which assigns to the *same* x, more than one value of *y*. That's not a function. It's a curve. Think about a circle, or instance. It's NOT a function, but it's a curve.
The second one has for each *x* a single *y*
BTW, there's no problem if for *different* x there is the same *y*:
y = 5,
all x, have the same y, equal to 5. That's a function, or y = x^2, etc
Answer:
The length of the edge of the cube = 4 inches
Step-by-step explanation:
* Lets describe the cube
- It has 6 faces all of them are squares
- It has 8 vertices
- It has 12 equal edges
∵ The volume of any formal solid = area of the base × height
∵ The base of the cube is a square
∴ Area base = L × L = L² ⇒ L is the length of the edge of it
∵ All edges are equal in length
∴ Its height = L
∴ The volume of the cube = L² × L = L³
* Now we have the volume and we want to find the
length of the edges
∵ Its volume = 64 inches³
∴ 64 = L³
* Take cube root to the both sides
∴ ∛64 = ∛(L³)
∴ L = 4 inches
* The length of the edge of the cube = 4 inches
Answer:
Simplifying
2x(3x + -8) = 0
Reorder the terms:
2x(-8 + 3x) = 0
(-8 * 2x + 3x * 2x) = 0
(-16x + 6x2) = 0
Solving
-16x + 6x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2x'.
2x(-8 + 3x) = 0
Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:
Simplifying
x = 0
Solving
x = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x = 0
Subproblem 2
Set the factor '(-8 + 3x)' equal to zero and attempt to solve:
Simplifying
-8 + 3x = 0
Solving
-8 + 3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 3x = 0 + 8
3x = 0 + 8
Combine like terms: 0 + 8 = 8
3x = 8
Divide each side by '3'.
x = 2.666666667
Simplifying
x = 2.666666667
Solution
x = {0, 2.666666667}
Step-by-step explanation:
