Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Using the profit function, it is found that:
a) She earns $36 after 25 years.
b) The function was shifted right 4 units and up 1 units.
What is the profit function?
The profit, in x years after 2015, is given by:
[tex]p(x) = 12\sqrt[3]{x + 2}[/tex]
Item a:
She earns $36 after x years, considering x for which p(x) = 36, hence:
[tex]p(x) = 12\sqrt[3]{x + 2}[/tex]
[tex]36 = 12\sqrt[3]{x + 2}[/tex]
[tex]\sqrt[3]{x + 2} = 3[/tex]
[tex](\sqrt[3]{x + 2})^3 = 3^3[/tex]
[tex]x + 2 = 27[/tex]
[tex]x = 25[/tex]
She earns $36 after 25 years.
Item b:
The new function is:
[tex]h(x) = 12\sqrt[3]{x - 2} + 1[/tex]
At the domain, we have that [tex]x + 2 \rightarrow x - 2[/tex], that is, [tex]x \rightarrow x - 4[/tex], hence it was shifted right 4 units.
At the range, we have that [tex]h(x) = h(x - 4) + 1[/tex], hence it was shifted up 1 unit.
You can learn more about functions at https://brainly.com/question/24380382
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
