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djyliett [7]
3 years ago
12

Find the factorization of the polynomial below 64x2 + 48 x + 9

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

In order to obtain the correct answer we have to analyze the terms of the polynomial. Notice that the first term has 64 as coefficient, and 64=8*8 and the third term is 9, and 9=3*3. Those facts suggest that the factorization can be done in term of a square binomial. This assumption is confirmed noticing that 48=2*8*3. Therefore, 64x^2+48x+9 = (8x+3)(8x+3).

The answer can be checked expanding the product (8x+3)(8x+3).

Step-by-step explanation:

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Consider an experiment with a deck of 52 playing cards, in which there are 13 cards in each suit, two suits are black, and two s
lakkis [162]

Answer:

<u>P (E1) = 1/2 or 50%</u>

<u>P (E2) = 3/13 or 23%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of playing cards = 52

Number of suits = 4

Number of cards per suit = 13

Number of black suits = 2

Number of red suits = 2

2.  Suppose E1 = the outcome is a red card and E2 = the outcome is a face card (K, Q, J). Determine P(E1 or E2).

P (E1) = Number of red cards/Total of playing cards

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Study the following frequency distribution table.
m_a_m_a [10]

Answer:

Option C is correct.

f = 2

Step-by-step explanation:

The mean is the sum of variables divided by the number of variables

Mean = (Σfx)/(Σf)

xi | 15 | 17 | 20 | 30 | 10 + f

fi | 4 | 4 | 6 | 5 | 6

Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)

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458 + 6f = 25 × 18.8 = 470

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Hope this Helps!!!

6 0
3 years ago
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