Answer:
13 - 4x = 1 - x
Subtract 13 from both sides.
-4x = -12 - x
Add x to both sides.
-3x = -12
Divide both sides by -3.
x=4
:)
It seems like you forgot to post the answer choices. However, bats are one animal where they can fly but they aren't birds. So this is one counter-example to prove the claim false. Another example would be any flying insects.
Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
<h3>What are the exponential functions?</h3>
The given exponential functions, f(x) and g(x), are respectively given by:
When x < 0, one possible value is x = -1, hence evaluating the functions at these values:


, hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
More can be learned about exponential functions at brainly.com/question/25537936
The average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.
<h3>What is the Average Rate of Change of a Function?</h3>
Average rate of change =
.
Given the function,
,
The average rate of change using the intervals of, x = 2 to x = 6 would be solved as shown below:
a = 2
b = 6
f(a) =
= 34
f(b) =
= 754
Average rate of change = 
Average rate of change = 180
Therefore, the average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.
Learn more about average rate of change on:
brainly.com/question/8728504
Answer:
The best choice would be hiring a random employee from company A
Step-by-step explanation:
<em>Supposing that the performance rating of employees follow approximately a normal distribution on both companies</em>, we are interested in finding what percentage of employees of each company have a performance rating greater than 5.5 (which is the mean of the scale), when we measure them in terms of z-scores.
In order to do that we standardize the scores of both companies with respect to the mean 5.5 of ratings
The z-value corresponding to company A is

where
= mean of company A
= 5.5 (average of rating between 1 and 10)
s = standard deviation of company A

We do the same for company C

This means that 27.49% of employees of company C have a performance rating > 5.5, whereas 71.42% of employees of company B have a performance rating > 5.5.
So, the best choice would be hiring a random employee from company A