Answer:
It is false, because infinity is not a cardinality. The set N of positive integers is infinite and its cardinality is, if you wish, ℵ0 , the smallest infinite cardinal number, at least in an axiomatic set theory. A set S is infinite if and only if there exists a bijection between S and a proper subset of S , i.e. a subset of S different from S . Now the successor function s:N→N∗ is such a bijection; this follows from Peano’s axioms for arithmetic.
Answer:
Step-by-step explanation:
Given:
Focus of parabola: (-4, 6)
Directrix: y = 2
Required:
Equation for the parabola
<h2>
<u>SOLUTION:</u></h2>
Using the formula, 
, the equation for the parabola can be derived.
Where,
a = -4
b = 6
k = 2
Plug these values into the equation formula
Answer:
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
Step-by-step explanation:
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F.
We can say that −3.6 lie on the LHS of a number line while 43.7 lie on RHS of the number line and 0 at the mid.
43.7°F is above 0 and 3.6°F is below 0.
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
. Hence, the correct option is (d).
What do you need help with?
And try taking a picture and posting it if you can't ask the question.
Answer:
x ≥ 1/2
x ≤ -3
Step-by-step explanation:
2x² + 5x - 3 ≥ 0
Factor left side.
(2x - 1)(x + 3) ≥ 0
Set factors in an inequality to 0.
2x - 1 ≥ 0
2x ≥ 1
x ≥ 1/2
You multiply both sides by 2x - 1, so the sign switches.
x + 3 ≤ 0
x ≤ -3
