Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
True
using the converse of Pythagoras' identity
Given 3 sides of a triangle, if the longest side squared is equal to the sum of the squares of the other 2 sides then triangle is right.
longest side squared = 26² = 676
sum of other 2 sides squared = 24² + 10² = 576 + 100 = 676
Hence triangle is right
Side A’B’ and D’C’ are related because they are both parallel which I think means that they would be the same length
Answer:
B. List each book on a separate piece of paper, place them all in a hat, and pick three
D. Number the books from 1 to 9 and use a random number table to produce 3 different one digit numbers corresponding to the books selected
Step-by-step explanation:
A simple random sample is a subset of a statistical population where every member has an equal chance of being selected.For example in a company with 500 workers, names of 100 workers can be selected from a hat containing the names of 500 workers.
Answer:
The least common denominator is 21
Step-by-step explanation:
3 & 7 equal 21 which is the least common factor that it equals