Answer:
A reflection in the x-axis, and a vertical translation of 8 units down
Step-by-step explanation:
The given function is
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
The transformed function is
![g(x) = - \sqrt[3]{x} - 8](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20-%208)
To see the transformation that occurred, we can rewrite g(x) in terms of f(x).
That is:

Therefore f(x) is reflected in the x-axis and translated 8 units down.
The resulting graph decreases from left to right over its entire domain.
<h2>
Answer with explanation:</h2>
By considering the given information, we have
Null hypothesis : 
Alternative hypothesis : 
Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.
Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.
; 
Test statistic : 
i.e. 
Degree of freedom : n-1 = 20-1=19
Significance level = 0.01
For two tailed, Significance level 
By using the t-distribution table, the critical value of t =
Since , the observed t-value (7.25) is greater than the critical value (2.861) .
So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.
We conclude that there is some significance difference between the mean score for sober women and 35.0.
Photographing stars requires you to keep your exposure open for a long time. Taking pictures of star trails would take about 30 minutes to three hours. If you multiply that for the 6 stars stated above in the problem then you would be needing that much time if the stars were close and approximately 3 to 18 hours capture their star trails if they were far apart from each other.
The answer is 67 because you cross multiply 4/100 with x/1675 (: