Answer:
a) Эx ∈ R ⊇ x³ = 2
b) ∀x ∈ R, x² ≥ 0
c) Эx ∈ R ⊇ x³ = x
d) ∀x ∈ R, x ≤ x²
Step-by-step explanation:
Given the data in the question;
let us first go through some symbols and their possible meanings;
Э ⇒ there exists
∀ ⇒ for all
∈ ⇒ belongs to or set membership or element of the set
⊇ ⇒ such that
now;
a) There is a number whose cube is equal to 2
let x represent the number; so
Эx ∈ R ⊇ x³ = 2
b) The square of every number is at least 0
x² ≥ 0, ∀x ∈ R
∀x ∈ R, x² ≥ 0
c) There is a number that is equal to its square
Эx ∈ R ⊇ x³ = x
d) Every number is less than or equal to its square.
x ≤ x², ∀x ∈ R
∀x ∈ R, x ≤ x²
The answer to the system of equation is (2,0)
6x - 3y = 12 --->> 3y = 6x - 12 -->> y = 2 x -4
y = 2x - 4
y = x - 2
In this case we subtract y = x - 2 from y = 2x - 4
So, it would be
y = 2x - 4
-(y = x - 2) --->> -y = -x +2
y = 2x - 4
-y = -x + 2
---------------
0 = x - 2
Now we add 2 to both sides to isolate x
So, x = 2
Now we replace x for two in both equations.
6(2) - 3y = 12
12 - 3y = 12 (I'm distributing)
-3y = 0
3y = 0
y = 0
Now the other equation
y = 2 -2
y = 0
So, the answer is (2,0)
I hope this helps.
YOU'RE WELCOME :D
M< 1 = 128, m< 2 = 26, and m< 3 = 26.
Answer:
<h3>x=9 answer...</h3>
Step-by-step explanation:
- 6/x=18/27
- 162=18x
- x=162/18
- x=9
<h2>hope it helps.</h2><h2>stay safe healthy and happy..</h2>
Answer:
Step-by-step explanation:
Let's make this simple. Since we are given a ratio, that is the method we will use (as opposed to being told that the coordinate of the point that partitions the directed segment is one-third of the way from the first point to the second point. That's a different method). There is a formula for each of the coordinates we are looking for and they are:
and
where
a = 4 (from the ratio),
b = 3 (from the ratio),
x1 = 1, y1 = -6,
x2 = 8, y2 = 8 (those are from the endpoints of the directed segment). Filling in to find x first:
which simplifies down to
and then y:
which simplifies down to
so the coorinates are (5, 2).