The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Profit is the difference between revenue and cost. Given that:
R(r) = 2r⁴ - 3r³ + 2r - 1 and C(r) = r⁴ - r² + 2r + 3
P(r) = R(r) - C(r)
P(r) = (2r⁴ - 3r³ + 2r - 1) - (r⁴ - r² + 2r + 3) = r⁴ - 3r³ - r² - 4
The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4
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Answer:

Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>

- vertices of hyperbola:(±a,0) and (0,±b) if reversed

<h3>given:</h3>
- vertices: (0,±10)
- the hyperbola equation is inversed since the vertices is (0,±10)
- asymptotes:

<h3>let's solve:</h3>
- the asymptotes are in simplest and we know b is ±10
according to the question

therefore we got
note: the equation will be inversed
let's create the equation:

False as this function is not possible
The answer that you should get is D
To shift vertically the graph of the function
, you have to add a constant to its expression:

If k is positive, you shift the function k units above, if k in negative, you shift the function k units below.
So, if you want to shift the graph of
two units down, you have to subtract 2 (i.e., add -2):
