Answer:
x=-2
Step-by-step explanation:
14-(x+5)=3(x+9)-10
14-x-5=3x+27-10
14-5-x=3x+17
+x +x
9=4x+17
-17 -17
4x=-8
4x/4=-8/4
x=-2
Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16
= ( 4
)² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16
- 1
= (4
)² - 1²
= (4
- 1)(4
+ 1)
4
- 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16
- 1
= (2x² - 1)(2x² + 1)(4
+ 1 )
The greatest common factor of 4 and 10 is 2
Answer:
The inverse of the function is ![f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-16%7D%7B8%7D%7D)
Step-by-step explanation:
Inverse of a function:
Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.
In this question:

Exchanging x and y:



![y = \sqrt[3]{\frac{x-16}{8}}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-16%7D%7B8%7D%7D)
The inverse of the function is ![f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx-16%7D%7B8%7D%7D)
The "median" of a set is just the middle value for an odd number of ordered elements or the average of the middle two values for an even number of ordered elements. In this case you are four elements so it would be the average of the second and third terms...
median=(12.5+13.24)/2
median=12.87 (exactly, no rounding needed)