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seannalove4148
30.09.2019 •
Mathematics
Hey, can you factor completely 6x^2+11x-10 as (6x-4)(x-15/6)?
i know the proper way is (3x−2)(2x+5) but i did it this way and want to know if it is correct.
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Ответ:
The answer to your question is below
Step-by-step explanation:
Factor completely 6x² + 11x - 10
1.- Multiply 6 by -10 = -60
2.- Find the prime factors of -60
-60 2
-30 2
-15 3 60 = 2 x 2 x 3 x 5
-5 5 Combine these numbers so, if add them up give +11
-1 and if multiply equals -60.
These numbers are +15 and -4
Instead of writing +11x, in the original equation, write,
+ 15x - 4x.
6x² - 4x + 15x - 10 Factorize like terms
2x(3x - 2) + 5(3x - 2) Factorize like terms
(3x - 2) (2x + 5).
Sorry, I could not get (6x - 4) (x - 15/6)
Ответ:
Step-by-step explanation:
For the columns with 5 slots, there are 15 distinct options to fill in. The number of ways to fill them in is
15 * 14 * 13 * 12 * 11 = 360360 ways (order matters)
For the column with 4 slots and 15 options. The number of ways to fill them in is
15 * 14 * 13 * 12 = 32760 ways (order matters)
Since a bingo card has 4 columns of 5 slots and 1 column with 4 slots, the total number of combination there is: