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nata0808 [166]
3 years ago
8

Factor the polynomial by grouping. 12x^x+x−13

Mathematics
1 answer:
tekilochka [14]3 years ago
5 0

Answer:

  (x -1)(12x +13)

Step-by-step explanation:

You are looking to rewrite the middle term as the sum of terms that have factors of (12)(-13) that have a total of +1. Those factors are -12 and +13, so the expression you are factoring by grouping is ...

  12x^2 +13x -12x -13

  = x(12x +13) -1(12x +13)

  = (x -1)(12x +13)

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19. There were 20 drinks in a cooler.
ella [17]

For this case we have that the complete question is:

There were 20 drinks in a cooler. Joey drank 15% of the drinks. Sandra drank 1/5 of the drinks. Hannah drank 1/4 of the drinks. Tammy drank 30% of the drinks. How many drinks are left in the cooler? a 0 b 2 c 5 d 9

We propose a rule of three:

20 ---------> 100%

x ------------> 15%

Where the variable "x" represents the amount of drinks equivalent to 15%.

x = \frac {15 * 20} {100}\\x = 3

So, Joey drank 3 drinks.

On the other hand, we have that Sandra drank \frac {1} {5}of the drinks:

20 * \frac {1} {5} = \frac {20} {5} = 4

Thus, Sandra drank 4 drinks.

In addition, Hannah drank\frac {1} {4} of the drinks:

20 * \frac {1} {4} = 5

So Hannah drank 5 drinks.

Finally, Tammy drank 30% of the drinks:

20 ---------> 100%

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Where the variable "y" represents the amount of drinks equivalent to 30%.

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Option B

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