This polynomial cannot be factored because it is prime. Hope this helps. :)
<h3>Given</h3>
- Set A: A = {-26, -25, -24, -23, - 22, - 21}
- Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}
<h3>(a) </h3>
<em />
<em>Cardinality means the number of elements in the set.</em>
Cardinality of the set A:
n(A) = 6, since we can count 6 elements.
Set B has even numbers between 6 and 20, both included:
- B = {6, 8, 10, 12, 14, 16, 18, 20}
Then its cardinality is:
<h3>(b) </h3>
To solve this we need to compare the elements of sets A or B with numbers given:
- -22 ∈ A, True ⇒ -22 is listed as element of A
- 6 ∈ B, True ⇒ 6 is listed as element of B
- - 21 ∉ A, False ⇒ - 21 is listed as element of A
- 2 ∈ B, False ⇒ 2 is not listed as element of B
Answer:
Constant rate of change for Jaz height will be 0.5 inch per month
Step-by-step explanation:
Jaz present height is 43 inches.
Eighteen months later her height will be 52 inches.
Now we know rate of change will be represented by the formula
Rate of change of height =
=
= 0.5 inch per month
The constant rate of change for Jaz height will be 0.5 inch per month.
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Answer:
x=1, x=-4
Two distinct real roots
Step-by-step explanation:
x² + 3x- 4 = (x - 1)(x + 4)
x=1, x=-4
Two distinct real roots
