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Chapter 2: Problem 42
What is the slope of a line that is perpendicular to the line whose equation is \(A x+B y+C=0, A \neq 0\) and \(B \neq 0 ?\)
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Exercises \(103-105\) will help you prepare for the material covered in the next section. Solve by completing the square: \(y^{2}-6 y-4=0\).
Express the given function \(h\) as \(a\) composition of two functions \(f\) and \(g\) so that \(h(x)=(f \circ g)(x)\). $$h(x)=|2 x-5|$$
Complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}+3 x-2 y-1=0$$
If equations for two functions are given, explain how to cobtain the quotient function and its domain.
A department store has two locations in a city. From 2012 through \(2016,\) the profits for each of the store's two branches are modeled by the functions \(f(x)=-0.44 x+13.62\) and \(g(x)=0.51 x+11.14 .\) In each model, \(x\) represents the number of years after \(2012,\) and \(f\) and \(g\) represent the profit, in millions of dollars. a. What is the slope of \(f ?\) Describe what this means. b. What is the slope of \(g ?\) Describe what this means. c. Find \(f+g .\) What is the slope of this function? What does this mean?
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