Answer:
c. ![\frac{1}{12n} = {[12n]}^{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12n%7D%20%3D%20%7B%5B12n%5D%7D%5E%7B-1%7D)
Step-by-step explanation:
![[\frac{1}{4}][\frac{2}{5}][\frac{1}{2}][\frac{4}{7}][\frac{5}{8}][\frac{2}{3}][\frac{7}{n}] = \frac{560}{6720n} = [12n]^{-1} = \frac{1}{12n}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B4%7D%5D%5B%5Cfrac%7B2%7D%7B5%7D%5D%5B%5Cfrac%7B1%7D%7B2%7D%5D%5B%5Cfrac%7B4%7D%7B7%7D%5D%5B%5Cfrac%7B5%7D%7B8%7D%5D%5B%5Cfrac%7B2%7D%7B3%7D%5D%5B%5Cfrac%7B7%7D%7Bn%7D%5D%20%3D%20%5Cfrac%7B560%7D%7B6720n%7D%20%3D%20%5B12n%5D%5E%7B-1%7D%20%3D%20%5Cfrac%7B1%7D%7B12n%7D)
* To make this simpler, reduce these two fractions in lowest terms.
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Answer:
Step-by-step explanation:
for y intercept
we calculate f(0) and the value is y intercept
for the slope we have 2 points (x1,y1) and (x2,y2)
the slope is (y2-y1)/(x2-x1)
The given numbers are 13, 27, 81, 21,43, 48,23,39,45.
Square number is that number which is a perfect square means if you multiply a number by itself the number you obtained is a perfect square i.e it's square root is a natural number.
√13=not a natural number
√27=√3×√3×√3=3√3=irrational number
√81=√9×√9=9=a natural number
√21=not a natural number
√43=not a natural number
√48=4√3=not a natural number
√23=not a natural number
√39=not a natural number
√45=3√5=not a natural number
So, out of following numbers 13 27 81 21 43 48 23 39 45→81 is the only square number.
