Answer:
x < 0
Step-by-step explanation:
If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0). So, the graph is increasing from -∞ to 0.
Answer:
2
Step-by-step explanation:
3 times (2x + 5) is 6x + 15.
6x + 15 = 9 + 3x.
Group by like terms. 6 = -3x
Divide to get x by itself. 6/-3 = -2
Thus -2 = x
Answer:
We have to prove,
(A \ B) ∪ ( B \ A ) = (A U B) \ (B ∩ A).
Suppose,
x ∈ (A \ B) ∪ ( B \ A ), where x is an arbitrary,
⇒ x ∈ A \ B or x ∈ B \ A
⇒ x ∈ A and x ∉ B or x ∈ B and x ∉ A
⇒ x ∈ A or x ∈ B and x ∉ B and x ∉ A
⇒ x ∈ A ∪ B and x ∉ B ∩ A
⇒ x ∈ ( A ∪ B ) \ ( B ∩ A )
Conversely,
Suppose,
y ∈ ( A ∪ B ) \ ( B ∩ A ), where, y is an arbitrary.
⇒ y ∈ A ∪ B and x ∉ B ∩ A
⇒ y ∈ A or y ∈ B and y ∉ B or y ∉ A
⇒ y ∈ A and y ∉ B or y ∈ B and y ∉ A
⇒ y ∈ A \ B or y ∈ B \ A
⇒ y ∈ ( A \ B ) ∪ ( B \ A )
Hence, proved......
represents the number of households that own ...blah... years 1996. So is the number of households in the year 1996; we're told that (since is the number of households in millions).
At the end of each year, this number increases by 4.85%, i.e. a factor of 1.0485. This means after 1 year, the number of households is
After 2 years, or 1 year after the first year elapses, the number is
After 3 years,
and so on, with the general pattern of
This is the function you're asked to find.