Learning Materials
Features
Discover
Chapter 1: Problem 19
Find the slope and \(y\) -intercept (if possible) of the equation of the line. Sketch the line. $$y-3=0$$
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
The table shows the monthly revenue \(y\) (in thousands of dollars) of a landscaping business for each month of the year \(2013,\) with \(x=1\) representing January. $$\begin{array}{|c|c|}\hline \text { Month, \(x\) } & \text { Revenue, \(y\) } \\\\\hline 1 & 5.2 \\\2 & 5.6 \\\3 & 6.6 \\ 4 & 8.3 \\\5 & 11.5 \\\6 & 15.8 \\\7 & 12.8 \\\8 & 10.1 \\\9 & 8.6 \\\10 & 6.9 \\\11 & 4.5 \\\12 & 2.7 \\\\\hline \end{array}$$ A mathematical model that represents these data is \(f(x)=\left\\{\begin{array}{l}-1.97 x+26.3 \\ 0.505 x^{2}-1.47 x+6.3\end{array}\right.\) (a) Use a graphing utility to graph the model. What is the domain of each part of the piecewise-defined function? How can you tell? Explain your reasoning. (b) Find \(f(5)\) and \(f(11),\) and interpret your results in the context of the problem. (c) How do the values obtained from the model in part (a) compare with the actual data values?
Beam Load The maximum load that can be safely supported by a horizontal beam varies jointly as the width of the beam and the square of its depth and inversely as the length of the beam. Determine the changes in the maximum safe load under the following conditions. A. The width and length of the beam are doubled. B. The width and depth of the beam are doubled.
Write a sentence using the variation terminology of this section to describe the formula. Area of a triangle: \(A=\frac{1}{2} b h\)
Match the data with one of the following functions $$f(x)=c x, g(x)=c x^{2}, h(x)=c \sqrt{|x|}, \quad \text {and} \quad r(x)=\frac{c}{x}$$ and determine the value of the constant \(c\) that will make the function fit the data in the table. $$\begin{array}{|c|c|c|c|c|c|}\hline x & -4 & -1 & 0 & 1 & 4 \\\\\hline y & -1 & -\frac{1}{4} & 0 & \frac{1}{4} & 1 \\\\\hline\end{array}$$
Use a graphing utility to graph the function. Be sure to choose an appropriate viewing window. $$f(x)=4-2 \sqrt{x}$$
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine