Answer:
√ x 12 = x 6 (or possibly − x 6 if you want to include the non-principal square root)
Answer:
The area of the deck that surrounds the hot tub is 17.9 m².
Step-by-step explanation:
Base of deck = 5 m
Height of deck = 5 m
Area of deck = base*height
= 5*5
= 25 m²
A circular hot tub is placed in the deck whose diameter is 3 m.
Radius = diameter/2
= 1.5 m
Area of the circular hot tub = πr²
= 3.14*(1.5*1.5)
= 7.07 m²
Area of the deck that surrounds the hot tub = Area of deck - Area of tub
= 25 - 7.07
= 17.93 m²
= 17.9 m²
A.
cannot be the power set of any set. Consult Cantor's theorem, which says that the cardinality of the power set of any set (even the empty set) is strictly greater than the cardinality of the set.
(No part b?)
c. Also not the power set of any set, because any power set must have
elements, where
is the cardinality of the original set. The cardinality of this set is 3, but there is no integer
such that
. This set would be a power set if
(that is, the set containing the empty set) were a member of it.
Answer: g(x) = 2*x
Step-by-step explanation:
We want to find the formula of g(x) if we know that g(x - 3) = 2*x - 6
Well, the first step is to find the expression (x - 3) = y in the g(x - 3)
Then:
g(x - 3) = 2*x - 6 = 2*x - 2*3
Now we can just take the common factor 2, and write this as:
2*x -2*3 = 2*(x - 3) = 2*y
then:
g( x - 3) = g(y) = 2*y
if we just replace x by y, we get:
g(x) = 2*x
This is the formula of g(x)
