Answer:
Step-by-step explanation:
12x³ = 2²·3·x³
The greatest common factor of 12x³ and 3x² is 3x².
12x³ - 3x² = (4x - 1)3x²
Answer: f (x) = 0.75 minus 0.25x
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a1 = 0.5
d = 0.25 - 0.5 = - 0.25
n = 25
The rule for the sequence is
an = 0.5 + (n - 1)-0.25
an = 0.5 - 0.25n + 0.25
an = 0.5 + 0.25 - 0.25n
an = 0.75 - 0.25n
Substituting f(x) for an and x for n, it becomes
f(x) = 0.75 - 0.25x
Answer:
12.5
Step-by-step explanation:
With 4 jacks in the deck of 52, there is a 4/52 = 1/13 probability of drawing 1 jack.
With 13 clubs in the deck, there is a 13/52 = 1/4 probability of drawing 1 card of clubs.
1 of the cards in the deck is both a jack and of suit of clubs, which has a 1/52 probability of being drawn.
P(club OR jack) = P(club) + P(jack) - P(club AND jack) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13
So the answer is B.
