The scenario can be described using a piecewise function like:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
<h3>
When the value exists but the limit does not?</h3>
Remember that the limit only exists if the limit from left and the limit from the right give the same value.
Then, we can just define a piecewise function of the form:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
Clearly, this is not a continuous function.
Notice that:
So the limits from left and right are different, then:
Does not exist.
If you want to learn more about limits:
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Answer:
$13.25
Step-by-step explanation:
- Change 45% in a decimal which is 0.45.
- Multiply 0.45 and 25.
- That will give you $11.25.
- Change 8% into a decimal which is 0.08.
- Multiply 0.08 and 25.
- That will give you $2.
- Then add $11.25 and $2.
- Your final answer is $13.25
1/2. It is the slope. It rises from .5 to 1.5 (1) and runs from 1 to 3 (2)
Rise over run = 1/2
Answer:
A = 39 m²
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Shorter Diagonal d2 = 3m + 3m = 6m
Longer Diagonal d1 = 9m + 4m = 13m
<u>Step 2: Find Area</u>
- Substitute into formula: A = 1/2(13m)(6m)
- Multiplication: A = 1/2(78m²)
- Multiplication: A = 39 m²
The answer is point a. Look at the x axis and go over to -3 then do the y axis and go up to 3 and there is your point.
