C; A and B are incorrect because the shift is not vertical, it is horizontal. This is because 3 is in parenthesis or a 'grouping' (same thing if it is in an exponent) and is being modified. Since the graph is being translated down 3 units, D is incorrect since it is a translation up 3 units. The answer is C.
You can identify similar polygon by comparing their corresponding angles and sides. ( if they are the same the ratio of the lengths is the scale factor. Also check if their sides are proportional.)
In 10 days they will have the same amount of cards
Answer: B) 2^(5/12)
Explanation:
The cube root is the same as an exponent of 1/3
![\sqrt[3]{x} = x^{1/3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B1%2F3%7D)
Multiply this exponent 1/3 by the other exponents 5 and 1/4 to get
(1/3)*5*(1/4) = (1/3)*(5/1)*(1/4) = (1*5*1)/(3*1*4) = 5/12
which is the final exponent. The base 2 stays the same the entire time.
