Answer:
<em>0.5 < x < 15.5</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
Answer:

Step-by-step explanation:
Given
f(x) = 
Finding f(-1) means, we have to put -1 in the places of x in the function,
So, putting x=-1 in the function

As the power 3 is odd, the minus will remain the same, while in the 2nd term minus will be eliminated due to even power. So,
=> 
=> 1
Hence,

Answer:
8 in
Step-by-step explanation:
volume of a cube is found by multiplying three sides or finding the third power of a side
, where V is volume and s is side length
we are given that V = 512, so

![s=\sqrt[3]{512}](https://tex.z-dn.net/?f=s%3D%5Csqrt%5B3%5D%7B512%7D)
s=8
Answer:
1/5
Step-by-step explanation: