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noname [10]
3 years ago
5

Which is the solution of the equation 1/4 ( 3x - 1 ) = 2x -2/3

Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

x = 1/3

Step-by-step explanation:

Perform the indicated multiplication:

Clear out the fractions.  The LCD here is 12, so multiply both sides by 12, obtaining:

3(3x - 1) = 24x - 8, or

9x - 3 = 24x - 8

Combining like terms, we get 5 = 15x, so that x = 1/3.

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Answer:

The answer is option D: the advertiser is bidding $0.70 between 9 pm-12 am on weeknights.

Step-by-step explanation:

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This amount becomes:

0.40+(0.75\times0.40)

= $0.70  (OPTION D)

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6 0
3 years ago
Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?
Alja [10]

Answer:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: (a +b)^n, n > 0

Now, the BINOMIAL EXPANSION is the expansion which  describes the algebraic expansion of powers of a binomial.

Here, (a+b)^n  = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}

or, on simplification, the terms of the expansion are:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

The above statement holds for each  n > 0

Hence, the complete expansion for the given expression is given as above.

4 0
3 years ago
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Answer:

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