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Chapter 1: Problem 29
Plot the points and find the slope of the line passing through the pair of points. $$(5,-7),(8,-7)$$
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Evaluate the function for the indicated values. \(h(x)=[x+3]\) (a) \(h(-2)\) (b) \(h\left(\frac{1}{2}\right)\) (c) \(h(4.2)\) (d) \(h(-21.6)\)
Finding a Mathematical Model In Exercises \(41-50\), find a mathematical model for the verbal statement. \(z\) varies jointly as the square of \(x\) and the cube of \(y\)
Sketch the graph of the function. $$g(x)=[[x]]-1$$
The cost of sending an overnight package from New York to Atlanta is 26.10 dollars for a package weighing up to, but not including, 1 pound and 4.35 dollars for each additional pound or portion of a pound. (a) Use the greatest integer function to create a model for the cost \(C\) of overnight delivery of a package weighing \(x\) pounds, \(x>0\). (b) Sketch the graph of the function.
The frequency of vibrations of a piano string varies directly as the square root of the tension on the string and inversely as the length of the string. The middle A string has a frequency of 440 vibrations per second. Find the frequency of a string that has 1.25 times as much tension and is 1.2 times as long.
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