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bixtya [17]
4 years ago
7

Explain how to graph -√(x-3). (How do you graph sqrt functions that have a negative sign in front of them?)

Mathematics
1 answer:
agasfer [191]4 years ago
6 0
Firstly put f(x) =  \sqrt{x} then observe

f(x+3)= \sqrt{x+3}
\Rightarrow -f(x+3) = -\sqrt{x+3}

Then it becomes a case of standard transformations of the function f. i.e. take the regular square root function, shift it left 3 units and reflect it in the x-axis.
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What is the standard deviation of the following data? 52 61 31 44 47 45 25 48 47
Elena-2011 [213]
Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.

For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16

For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9


3 0
3 years ago
Mary is paid $12 per hour at her weekend part-time job. She earns an average of $132 each weekend, but her earnings can vary by
RSB [31]

Given:

Mary is paid $12 per hour at her weekend part-time job.

She earns an average of $132 each weekend, but her earnings can vary by $36.

To find:

The inequality for number of hours.

Solution:

Let h be the number of hours Mary could work in one weekend.

Total earning for h hours = $12h

She earns an average of $132 each weekend, but her earnings can vary by $36. So,

132-36\leq \text{Total earning}\leq 132+36

96\leq \text{Total earning}\leq 168

96\leq 12h\leq 168

Divide all sides by 12.

\dfrac{96}{12}\leq \dfrac{12h}{12}\leq \dfrac{168}{12}

8\leq h\leq 14

Therefore, the correct option is D.

8 0
3 years ago
A squirrel family collected 72nuts to the store for the winter.They spread teh nuts out evenly between their 6 favorite location
RideAnS [48]

Answer:

The crow stole 6 nuts

Step-by-step explanation:


6 0
4 years ago
Read 2 more answers
Students in 7th and 8th grade were asked the types of movies they prefer. The results of the survey are shown in the two-way tab
Andreyy89

A table is a arrangement of the data or the information. For the given table statement second, third and fifth are the correct statements.

Given information-

A four by four table in given for the survey of the 7th and 8th group students for the movie preference.

The first column has no label with entries drama, action, comedy, total.

The second column is labeled 7th with entries 11%, 25%, 14%, 50%.

The third column is labeled 8th with entries 15%, 19%, 16%, 50%.

The fourth column is labeled total with entries 26%, 44%, 30%, 100%.

<h3>Table </h3>

A table is a arrangement of the data or the information

Now look at the statement.

  • 1) More 7th graders were surveyed than 8th graders- As both 7th grade and the 8th grade student surveyed are 50 percent. Thus the statement 1 is incorrect.
  • 2) The marginal relative frequency for action movies is 44%-Total 7th grade students like the action movies are 25 percent. Total 8th grade students like the action movies are 19 percent. The sum of both is 44 percent. Thus this is correct statement.
  • 3) The joint relative frequency for 8th graders who like comedy movies is 16%- From the table it can be said that the frequency of the 8th grade students likes the comedy movie is 16 percent. Thus this is a correct statement.
  • 4) Most students prefer drama movies- The highest number of the movie preferred by the students is action movie. Thus this is an incorrect statement.
  • 5) Half of the 7th graders prefer action movies- The 50 percent of the 7th grade is surveyed in which 25 percent like the action movie.25 is the half of the 50. Thus it is a correct statement.

Hence for the given table statement second, third and fifth are the correct statements.

Learn more about the data representation in table here;

brainly.com/question/7727331

4 0
2 years ago
Hey honeys, anyone wanna help me out here? &lt;3
Sindrei [870]

Answer:

D:4

Step-by-step explanation:

12(4)-5=5(4)+23

43=43

Hope this helps

3 0
3 years ago
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