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Chapter 2: Problem 74
A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 8000 square feet. Within what bounds must the length of the rectangle lie?
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The key numbers of a rational expression are its ___________ and its ____________ _____________.
In a pilot project, a rural township is given recycling bins for separating and storing recyclable products. The cost \(C\) (in dollars) of supplying bins to \(p \%\) of the population is given by \(C=\frac{25,000 p}{100-p}, \quad 0 \leq p<100\) (a) Use a graphing utility to graph the cost function. (b) Find the costs of supplying bins to \(15 \%, 50 \%,\) and \(90 \%\) of the population. (c) According to this model, would it be possible to supply bins to \(100 \%\) of the residents? Explain.
Solve the inequality and graph the solution on the real number line. \(\frac{3 x-5}{x-5} \geq 0\)
(a) find the interval(s) for \(b\) such that the equation has at least one real solution and (b) write a conjecture about the interval(s) based on the values of the coefficients. \(3 x^{2}+b x+10=0\)
Use the position equation \(s=-16 t^{2}+v_{0} t+s_{0}\), where \(s\) represents the height of an object (in feet), \(v_{0}\) represents the initial velocity of the object (in feet per second), \(s_{0}\) represents the initial height of the object (in feet), and \(t\) represents the time (in seconds). A projectile is fired straight upward from ground level \(\left(s_{0}=0\right)\) with an initial velocity of 128 feet per second. (a) At what instant will it be back at ground level? (b) When will the height be less than 128 feet?
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