Answer:
Constant of proportionality: k=3
Equation: c=3d
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:
Then, the first step is to find the Constant of proportionality "k".
Knowing that:
We can substitute values into the equation:
Now, solving for "k", we get:
Therefore, we can write the following equation that represents that proportional relationship:
Answer: Donald J. Trump
Step-by-step explanation: 45th president of the United States
If that's a way to remember PEMDAS, then it's Please Excuse My Dear Aunt Sally.
The expression given as x³ + 4x² - 3x + 1 cannot be factored
<h3>How to determine the factor the
expression?</h3>
From the question, we have the following expression that can be used in our computation:
x³ + 4x² - 3x + 1
The above expression is a polynomial expression
The number of terms in the expression is 4
This means that, when the terms are grouped in twos, we should be above to factor the expression
[x³ + 4x²] - [3x - 1]
However, this is not the case because [x³ + 4x²] and [3x - 1] or any other combination do not have common factor
So, it is better to leave the expression without changing its form
Hence. x³ + 4x² - 3x + 1 cannot be further factored
Read more about expressions at
brainly.com/question/15775046
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