x>7
Step-by-step explanation:
when dividing by a (-)
the inequality sign changes
Answer:
Step-by-step explanation:
(-9-7)/(0-1)= -16/-1= 16
y - 7 = 16(x - 1)
y - 7 = 16x - 16
y = 16x - 9
Answer:
B) A random sample may represent the population <em>is your best answer.</em>
Step-by-step explanation:
Note that the answer choice says "may", which means that it doesn't <em>always</em> represent the population. Random samples means that they ask random people, and do not have a certain rule that they have to follow (such as recipients can only be a certain race, age, etc.) and that they can ask anybody they meet. This can give not only a higher chance of a general population's opinion, but also makes sure that there is not a high chance of obtaining misleading information.
For example, a random survey would not take place at a rally, in which most of the people would believe the same thing, and would answer fairly the same for the survey. Instead, a random survey may be taken at a busy intersection during the time when most people are out. You must note that though it has the best chance of getting a <em>more accurate</em> representation, it still isn't the most accurate. For the best accuracy, <em>everyone would have to answer the survey in which the survey question would affect</em>.
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We have
.
To find inverse function
we substitute x with
and vice-versa to get
![x=\dfrac{f^{-1}(x)+5}{3f^{-1}(x)-1}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7Bf%5E%7B-1%7D%28x%29%2B5%7D%7B3f%5E%7B-1%7D%28x%29-1%7D)
Now solve for
. Note that I will use
instead.
![x=\dfrac{j+5}{3j-1} \\x(3j-1)=j+5 \\3jx-x=j+5 \\3jx-x-j-5=0 \\3jx-j=x+5 \\j(3x-1)=x+5 \\j=\dfrac{x+5}{3x-1}](https://tex.z-dn.net/?f=%3C%2Fp%3E%3Cp%3Ex%3D%5Cdfrac%7Bj%2B5%7D%7B3j-1%7D%20%5C%5C%3C%2Fp%3E%3Cp%3Ex%283j-1%29%3Dj%2B5%20%5C%5C%3C%2Fp%3E%3Cp%3E3jx-x%3Dj%2B5%20%5C%5C%3C%2Fp%3E%3Cp%3E3jx-x-j-5%3D0%20%5C%5C%3C%2Fp%3E%3Cp%3E3jx-j%3Dx%2B5%20%5C%5C%3C%2Fp%3E%3Cp%3Ej%283x-1%29%3Dx%2B5%20%5C%5C%3C%2Fp%3E%3Cp%3Ej%3D%5Cdfrac%7Bx%2B5%7D%7B3x-1%7D%3C%2Fp%3E%3Cp%3E)
So we find that
.
Hope this helps.