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DENIUS [597]
3 years ago
6

Solve |4-7x| -5 less than 8

Mathematics
2 answers:
LiRa [457]3 years ago
8 0

Answer:

Choice B is the correct answer.

Step-by-step explanation:

We have given an inequality.

|4-7x| -5 < 8

We have to find the solution of given inequality.

Adding 5 to both sides of given inequality, we have

|4-7x| < 8+5

|4-7x| < 13

Applying absolute value rule, we have

-13 < 4-7x < 13

-13-4 < -7x < 13-4

-17 < -7x < 9

By dividing to -7 , reverse the inequality

-9/7 < x < 17/7

Hence, the solutions are x < 17/7 or x > -9/7.

SpyIntel [72]3 years ago
7 0

Answer:

b. {x l -9/7 < x <17/7}

Step-by-step explanation:

l 4 - 7xl -5 < 8

Adding 5 on both sides, we get

l4 - 7xl < 13

Absolute function has two values.

{ 4 - 7x < 13 and (4-7x) > -13}

Now let's solve for x.

-7x < 9  and -7x > -17

x > -9/7 and x < 17/7

Now we have to combine the two inequalities and write the solution

{x l -9/7 < x <17/7}

Answer: b. {x l -9/7 < x <17/7}

Hope this will helpful.

Thank you.

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Question 7(Multiple Choice Worth 1 points) (08.02 LC) Eva conducted a survey to find out the amount of time high schoolers spend
Lady bird [3.3K]

Answer:

The answer is "Option B".

Step-by-step explanation:

The difference between most time and also the least spending time on Internet surfing is 3 hours. Since we do not have charts for tables etc., only 3 can be used we need. A range is defined as the difference between the largest and the smallest amounts. The range between both the largest as well as the smallest is unique. In this reply, it tells us that the gap between most time and the fewer hours invested surfing the web is 3 hours.

  • In option A, it is wrong since the range has nothing to do with formulas. (Of course, the dividend with a divisor results in a quotient). Only subtraction and not division may be achieved.
  • In option C, when all surf for exactly one hour, it could take the largest time of 3 hours and 3 hours, the last time. Add it into the equation and the range of the data present would've been 0.
  • In option D, It is erroneous even as the range is not the mean, and the mean seems to be the average. We search for both the range, not the mean.

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100000 less than 560313 is
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3 years ago
b) How many ways can you deal cards (from a deck of 52) to 4 people when each player gets 7 cards. 2 hidden and 5 visible. Assum
Mariana [72]

Answer:

{52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4

Step-by-step explanation:

The dealing of the cards can be seen in the following way:

We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in {52 \choose 7} ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in {7 \choose 2} ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in {45 \choose 7}. Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in {7 \choose 2} ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in {38 \choose 7}. And again, we have to choose which ones are the hidden ones, which can be chosen in {7 \choose 2} ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in {31 \choose 7} ways. And choosing which ones are the hidden ones for this player can be done in {7 \choose 2} ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).

{52 \choose 7}{7 \choose 2}{45 \choose 7}{7 \choose 2}{38 \choose 7}{7 \choose 2}{31 \choose 7}{7 \choose 2}={52 \choose 7}{45 \choose 7}{38 \choose 7}{31 \choose 7}{7 \choose 2}^4

7 0
3 years ago
I GIVE BRAINLILSTE<br> .................................
Archy [21]
The answer is a or d i’m not sure which one though sorry.
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Read 2 more answers
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