Answer:
$75
Step-by-step explanation:
First, we will find how many hours he worked. 8:00-12:00 is 4 hours, and 12:00-2:00 is 2 hours, so he worked a total of 6 hours.
Next, we have to multiply the hours worked by his hourly wage.
12.50*6=75
Answer:
2/21 :)
Step-by-step explanation:
Subtract 13 from both sides:


Divide both sides by -5. Since this is a negative number, you have to invert the inequality sign:

Which means
a) Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.
b) The function
is equivalent to the function
.
<h3>How to determine whether a limit exists or not</h3>
According to theory of limits, a function f(x) exists for x = a if and only if
. This criterion is commonly used to prove continuity of functions.
<em>Rational</em> functions are not continuous for all value of x, as there are x-values that make denominator equal to 0. Based on the figure given below, we have the following <em>lateral</em> limits:


Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.
In addition, we can simplify the function by <em>algebra</em> properties:


The function
is equivalent to the function
.
To learn more on lateral limits: brainly.com/question/21783151
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