9514 1404 393
Answer:
f^-1(x) = 4+∛((x-6)/5)
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
then write the answer in functional form.
![\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3Df%28y%29%5C%5C%5C%5Cx%3D5%28y-4%29%5E3%2B6%5C%5C%5C%5Cx-6%3D5%28y-4%29%5E3%5C%5C%5C%5C%5Cfrac%7Bx-6%7D%7B5%7D%3D%28y-4%29%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%3Dy-4%5C%5C%5C%5Cy%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%5C%5C%5C%5C%5Cboxed%7Bf%5E%7B-1%7D%28x%29%3D4%2B%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-6%7D%7B5%7D%7D%7D)
__
The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.
Answer:
-8b + 9 - 5k
Step-by-step explanation:
I am assuming the blue highlighted portion is your answer, and is not a part of the initial question
(-4b + 15 - 7k) - (6 + 4b - 2k)
Combine like terms
-4b - + 4b
Negative + Positive = Negative
-4b - 4b = -8b
15 - 6 = 9
-7k - - 2k
Negative + Negative = Positive
-7k + 2k = -5k
Put them all together:
0b + 9 - 5k
Simplify
-8b + 9 - 5k
I got the same answer as you (just in a different order)
Answer:
Yes, this is a valid inference because she took a random sample of the neighborhood.
Step-by-step explanation:
As we can see, Sue's survey was perfectly random and without any prejudice.
18% of the families, according to her research, would volunteer at the shelter. According to her, 18% of the local households should be required to volunteer at the animal shelter.
Therefore, given that she chose a representative sample of the area, her conclusion is valid.
Answer:
x^-2
Step-by-step explanation:
(x*x*x)/(x*x*x*x*x)
1/x*x
1/x^2
x^-2
The value of the text statistic. F is given as : 0.742 See explanation below.
<h3>What is a test statistic?</h3>
A test statistic is a numerical value determined by a statistical test.
It quantifies the distance between your observed data and the null hypothesis of no link between variables or no difference between sample groups.
<h3>What is the solution to the answer above?</h3>
Test Statistic F is given by:
= σ²₁/σ²₂
= 0.93²/1.08²
= (0.93/1.08)²
= 0.8611²
= 0.742
Learn more about Test Statistic at;
brainly.com/question/6589776
#SPJ1
