Which equations are correct? select each correct answer. 8x3(3x2)=24x6 4x3(6x2)=24x6 6b3(−2b3)=−12b6 3a3(−3a4)=−9a7?
2 answers:
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Answer:
(n + 2)² + 6
Step-by-step explanation:
pattern 1:
Total squares = 15
3² + 6 = 16
Pattern 2:
Total squares = 22
4² + 6
Pattern 3:
Total squares = 31
5² + 6
Looking at the series,
There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6
Hence, expressing the nth pattern in the form ;
(n + a)² + b
Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;
b = 6
Hence, we have ;
(n + 2)² + 6
He can read chapters of his history book in 1 hour.
<em><u>Explanation</u></em>
Franco read 3/8 of a chapter of his history book in 1/5 of an hour.
Suppose, he can read chapters of his book in 1 hour at this rate.
So, the equation according to the <u>ratio of 'the chapter to the time'</u> will be....
So, he can read chapters of his history book in 1 hour.