84/2 = 42
42/2 = 21
21/3 = 7
7/7 = 1
84 = 2^2 * 3 * 7
Answer:
f(x) = ![\sqrt[3]{x + 6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%206%7D)
+ 1
Step-by-step explanation:
Whenever addition or subtraction occurs within the cube root, it moves horizontally; the opposite is done for the translation, thus if it is addition, which in this case it is, instead of moving the positive direction, the function moves the negative direction.
As opposed to addition or subtraction outside of the cube root, it moves vertically, and in this case, it is translated exactly as stated. Here it states addition, thus the graph moves up in one unit.
The origin of the parent function is at ( 0, 0), in contrast, the origin of the function is at ( -6, 1 )
By using what we know, we can determine that the answer will be f(x) = + 1 since we know that the inside of the cube root should be the opposite of the x value and the outside of the cube root should be the same.
As you can see, the diagonal actually creates a right triangle. Not only that, but you’re given two legs. Therefore, you can use the Pythagorean theorem to find the distance. Specifically, 78 (73?) feet and 27 feet.
Plug in for “a” and “b” to find your distance in:
a^2 + b^2 = c^2
sqrt(a^2 + b^2) = c
Plug in and solve
Answer:
Hello!
To answer these, you can use prime factorization! Here is the first one:
1) 16x² and 8
Well we know the GCF will not have any "x" since only one of the numbers do. So, here is the prime factorization for each, excluding the "x", and I have also bolded the common numbers between the two:
16 8
2 · 8 2 · 4
2 · 4 2 · 2
2 · 2
Finally, multiply the common numbers (only once for each common number): 2 x 2 x 2= 8 is your GCF!!!
Hope this helps! :)
