Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis.
Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.
as x³ - 16x ≥ 0
Thus, identifying the intervals:
Thus,
The domain of the function f(x) is:
![x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}](https://tex.z-dn.net/?f=x%5Cleft%28x%2B4%5Cright%29%5Cleft%28x-4%5Cright%29%5Cge%20%5C%3A0%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A-4%5Cle%20%5C%3Ax%5Cle%20%5C%3A0%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax%5Cge%20%5C%3A4%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%5B-4%2C%5C%3A0%5Cright%5D%5Ccup%20%5C%3A%5B4%2C%5C%3A%5Cinfty%20%5C%3A%29%5Cend%7Bbmatrix%7D)
And the Least Value of the domain is -4.
Answer:
5
Step-by-step explanation:
ITS 5
Answer: he lived 9 months in Portugal and 5 months in Brazil.
Step-by-step explanation:
Let x represent the number of months he lived in Portugal.
Let y represent the number of months he lived in Brazil.
Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. This means that
x + y = 14
He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. This means that
130x + 150y = 1920- - - - - - - - - - - 1
Substituting x = 14 - y into equation 1, it becomes
130(14 - y) + 150y = 1920
1820 - 130y + 150y = 1920
- 130y + 150y = 1920 - 1820
20y = 100
y = 100/20
y = 5
x = 14 - y = 14 - 5
x = 9
Volume formula for cylinder is pir^2h. So that will be 4 times 4 times 3 times. That will be 48 cubic inches. However you still have pi left but if we were to multiply 3.14 by 48 we’ll get around 150 but that isn’t answer choice so go with 48.
Answer:
The first angle is 68.
Step-by-step explanation:
So 
and 
