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Artyom0805 [142]
3 years ago
15

Solve the inequality 5x - 4 > 4 - 3x​

Mathematics
2 answers:
padilas [110]3 years ago
8 0

Step-by-step explanation:

5x-4>4-3x

5x+3x>4+4

8x>8

8x/8>8/8

x=1

olga55 [171]3 years ago
3 0

Answer:

x>1

Step-by-step explanation:

5x - 4 > 4 - 3x

Add 3x to each side

5x+3x - 4 > 4 - 3x+3x

8x -4 > 4

Add 4 to each sdie

8x-4+4 > 4+4

8x> 8

Divide each side by 8

8x/8 >8/8

x > 1

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A true-false question is to be posed to a husband and wife team. Both the husband and the wife will give the correct answer with
marysya [2.9K]

Answer:

Choose either strategy both are equally successful

Step-by-step explanation:

Given:-

- The probability of success for both husband (H) and wife (W) are:

                              P ( W ) = 0.8 , P ( H ) = 0.8

Find:-

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Solution:-

Strategy 1

- First note that P ( W ) & P ( H ) are independent from one another, i.e the probability of giving correct answer of husband does not influences that of wife's.

- This strategy poses an event such that either wife knows the answer and answer it correctly or the husband knows and answers in correctly.

- We will assume that probability of either the husband or wife knowing the answer is 0.5 and the two events of knowing and answering correctly are independent. So,

                           P ( Wk ) = P (Hk) = 0.5

- The event P(S1) is:

                           P(S1) = P ( Hk & H ) + P ( Wk & W )

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                           P(S1) = 0.8

- Hence, the probability of success for strategy 1 is = 0.8

Strategy 2

- Both agree , then the common answer is selected otherwise, one of their answers is chosen at random.

- The success of strategy 2, will occur when both agree and are correct, wife is correct and answers while husband is not or husband is correct and he answers.

- The event P(S2) is:

                   P(S2) = P ( H & W ) + P ( H / W' & Hk ) + P ( H' / W & Wk )

                   P(S2) = P ( H & W ) + P ( H / W') P ( Hk ) + P ( H' / W) P (Wk)

                   P(S2) = P ( H & W ) + P ( H / W')*0.5  + P ( H' / W)*0.5

                   P(S2) = 0.5* [ P ( H & W ) + P ( H / W') ]  + 0.5* [ P ( H' / W) + P ( H & W )]

                   P(S2) = 0.5*P(H) + 0.5*P(W)

                   P(S2) = 0.5*0.8 + 0.5*0.8

                   P(S2) = 0.8

- Hence, the probability of success for strategy 2 is = 0.8

Both strategy give us the same probability of success.

                 

                       

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What is the form of the Difference of Cubes identity?
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Solution:

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I will show you , how this identity is valid.

Taking R H S

(a-b)(a² +b²+ab)

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Cancelling  like terms , we get

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Answer:

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Step-by-step explanation:

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