Answer:
(c) x² -64
Step-by-step explanation:
The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...
a² -b² = (a +b)(a -b)
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You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...
a² -b² = x² -8² = x² -64
Answer:
151/30
Step-by-step explanation:
if you subsitute it you will get 3 1/10
Answer:
use desmos it shows you how to plot the graph and it shows you the graph
Step-by-step explanation:
desmos is the website's name
Answer:
9) 1/42
10) 1/14
Step-by-step explanation:
The probability of the compound event is the product of the probabilities of the parts. Note that the first draw (without replacement) modifies the probability of associated with the second draw.
<h3>9.</h3>
5 is one of 7 tiles. After drawing 5, 6 is one of 6 tiles.
P(5 then 6) = P(5) × P(6 | 5) = 1/7 × 1/6 = 1/42
<h3>10.</h3>
There are 3 odd tiles among the 7. After drawing one of them, 20 is one of 6 tiles.
P(odd then 20) = P(odd) × P(20 | odd) = 3/7 × 1/6 = 3/42 = 1/14
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Alternatively, you can consider the number of permutations of 2 tiles out of 7. That is P(7, 2) = 7!/(7-2)! = 7·6 = 42. Then the trick is to count how many of them will be the sequence of interest.
5 then 6: Among the 42 ways 2 tiles can be drawn, there is only one that is the required sequence: P(5,6) = 1/42.
odd then 20: There are 3 odd numbers, so the possible sequences of interest are (5,20), (7,20), (9,20). That is, there are 3 of 42 sequential draws that match the criteria. P(odd,20) = 3/42 = 1/14.
