now, for a rational expression, the domain, or "values that x can safely take", applies to the denominator NOT becoming 0, because if the denominator is 0, then the rational turns to
undefined.
now, what value of "x" makes this denominator turn to 0, let's check by setting it to 0 then.
![\bf 2-x^{12}=0\implies 2=x^{12}\implies \pm\sqrt[12]{2}=x\\\\ -------------------------------\\\\ \cfrac{x^2-9}{2-x^{12}}\qquad \boxed{x=\pm \sqrt[12]{2}}\qquad \cfrac{x^2-9}{2-(\pm\sqrt[12]{2})^{12}}\implies \cfrac{x^2-9}{2-\boxed{2}}\implies \stackrel{und efined}{\cfrac{x^2-9}{0}}](https://tex.z-dn.net/?f=%5Cbf%202-x%5E%7B12%7D%3D0%5Cimplies%202%3Dx%5E%7B12%7D%5Cimplies%20%5Cpm%5Csqrt%5B12%5D%7B2%7D%3Dx%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Ccfrac%7Bx%5E2-9%7D%7B2-x%5E%7B12%7D%7D%5Cqquad%20%5Cboxed%7Bx%3D%5Cpm%20%5Csqrt%5B12%5D%7B2%7D%7D%5Cqquad%20%5Ccfrac%7Bx%5E2-9%7D%7B2-%28%5Cpm%5Csqrt%5B12%5D%7B2%7D%29%5E%7B12%7D%7D%5Cimplies%20%5Ccfrac%7Bx%5E2-9%7D%7B2-%5Cboxed%7B2%7D%7D%5Cimplies%20%5Cstackrel%7Bund%20efined%7D%7B%5Ccfrac%7Bx%5E2-9%7D%7B0%7D%7D)
so, the domain is all real numbers EXCEPT that one.
Answer:
There is a positive correlation between the number of hours spent on homework and the test scores. So, the more homework you do, the better your test score.
Step-by-step explanation:
The data given is representative of a scatter plot, which shows a relationship with two sets of data that, when using a line of best fit, will show either a positive correlation (increasing), a negative correlation (decreasing) or no correlation (the data shows no overall pattern). In this case, you can see that the overall pattern of data is increasing, or a positive correlation. Which means that, in general, the more hours of homework you do, the more likely you are to receive a better test score.
Answer:
The speed Alex was going first was 16 mph
Step-by-step explanation:
The distance Alex was walking = 48 mile
The speed with which Alex was walking for the first half of the time = 2 × The speed Alex was walking for the second half of the time
The total time Alex spends on the road = 4 hours
Let x represent the speed with which Alex was walking in miles per hour, (mph), the first half of the time
Therefore, we have;
x × 2 + x/2 × 2 = 48
3·x = 48
∴ x = 48/3 = 16
Therefore, the speed with which Alex was walking in miles per hour, (mph), the first half of the time = x = 16 mph
Alex was going at 16 miles per hour (mph) first.
The best and most correct answer among the choices provided by the question is the second choice, B. y = [ x - 2 ] + 4
Hope my answer would be a great help for you. If you have more questions feel free to ask here at Brainly.
Answer:
C- 4f less than or equal to 36
Step-by-step explanation:
The fish are 4 dollars each so how many fish you buy, you will multiply 4. Example- I will buy 5 fish so 5×4=20.
You can only spend less than 36 or you can spend exactly 36 dollars.
In my example I spent less than 36 dollars. I don't know if you understand but tell me if you need help.
