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Mars2501 [29]
3 years ago
7

In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to

solve the inequality |x-5 < 0 ?|
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

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625 sq ft.

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25 x 25 = 625
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Read 2 more answers
What is the 4th term of the expanded binomial (2x – 3y)^6
san4es73 [151]

Answer:

The 4th term of the expanded binomial is -4320x^3y^3

Step-by-step explanation:

Considering:

$ (x+y)^n = \sum_{k=0}^{n} \binom{n}{k}  x^{n-k}y^k$

$ (2x-3y)^6 = \sum_{k=0}^{6} \binom{6}{k}  (2x)^{6-k}(-3y)^k$

Now, you gotta calculate for every value of k

$ (2x-3y)^6 = \binom{6}{0}  (2x)^{6-0}(-3y)^0     +       \binom{6}{1}  (2x)^{6-1}(-3y)^1     +      \binom{6}{2}  (2x)^{6-2}(-3y)^2   +   \\ $

$\binom{6}{3}  (2x)^{6-3}(-3y)^3    +    \binom{6}{4}  (2x)^{6-4}(-3y)^4    +  \binom{6}{5}  (2x)^{6-5}(-3y)^5    +    \binom{6}{6}  (2x)^{6-6}(-3y)^6            $

I will not write every product, but just solve following the steps:

For k=0

$\binom{6}{0}  (2x)^{6-0}(-3y)^0$

$\frac{6!}{(6-0)!(0!)}   (2x)^{6-0}(-3y)^0$

$ \frac{6!}{6!} \left(2x\right)^{6-0}\cdot 1$

$1\cdot \:1\cdot \left(2x\right)^{6-0}$

$2^6x^6$

64x^6

(2x-3y)^6=64x^6-576x^5y+2160x^4y^2-4320x^3y^3+4860x^2y^4-2916xy^5+729y^6

8 0
3 years ago
Create a visual plot of the data in the table by constructing a bar graph.
sashaice [31]

The average view of the dress code is that this dress is not good

<h3>Explain how Rashad could collect data to ensure that it is a random sample of the population.</h3>

For Rashad's sample to be a random sample gotten from the population, the following must be considered.

  • First, he must have a defined population. In this case, his population is all the students in his high school (non students are not to be considered)
  • Next, he must have a defined sample size (say 10% or 20% of the total number of students in the school)
  • Next, he must select students at random (a perfect example of this is one of every five or ten students that enters the school gate.
  • Lastly, he must collect data for his sample

<h3>Create a visual plot of the data in the table by constructing a bar graph.</h3>

To do this, we simply create a bar graph.

The response would go into the x-axis, while the number of people would go into the y-axis

See attachment for bar graph

<h3>What is the average view of the dress code? How did you come to this conclusion?</h3>

The average view of the dress code is that this dress is not good

It is considered the average view of the dress code because it is the opinion with the most frequency

<h3>Will the dress change?</h3>

The number of students that do not like the dress as:

210 + 206 + 770 = 1186

Their percentage is

Percentage = 1186/(210 + 206 + 770 + 358)

Percentage = 77%

This means that

Yes, the dress will change

Read more about random sampling at:

brainly.com/question/7301139

#SPJ1

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