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vichka [17]
3 years ago
10

Use the zero product property to find the solution to the equation 6x^2-5x=56

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer:

x = -8/3 or 7/2

Solution:

6x^2 - 5x = 56

6x^2 - 5x - 56 = 0

6x^2 -21x +16x - 56 = 0

3x(2x-7) + 8(2x-7) = 0

(3x + 8)(2x-7) =

3x + 8 = 0  or 2x - 7 = 0

x = -8/3 or 7/2

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Like terms are:
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A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl
Andrew [12]

Answer: \dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9} or  \dfrac{228}{91885} .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = ^{52}C_9

Now , the combination of 9 cards such that exactly 6 of them are  face cards =  ^{12}C_{6}\times^{40}C_3

Now , the probability that the hand contains exactly 6 face cards will be :-

\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}

=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}

Hence, the probability that the hand contains exactly 6 face cards. is  \dfrac{228}{91885} .

6 0
3 years ago
which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11?
gtnhenbr [62]
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3 0
3 years ago
Read 2 more answers
.21 of what number is 7.98
AlladinOne [14]
.21 as a percentage is 21%
You can divide 7.98 by 21 then multiply by 100 which gives you an answer of 38.

Hope this helps :)
8 0
3 years ago
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