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Problem 93

show the graphs of \(Y_{1}=\sqrt[3]{X}\) and \(Y_{2}=5 \sqrt[3]{X}\). The point whose coordinates are given at the bottom of the screen lies on the graph of \(\mathrm{Y}_{1} .\) Use this graph, not your calculator, to find the coordinates of the corresponding point on the graph of \(\mathrm{Y}_{2}\) for the same value of \(\mathrm{X}\) shown.

Problem 94

Solve each equation graphically. $$|0.5 x+2|+|0.25 x+4|=9$$

Problem 94

Solve the following. Complete the following. (a) Write a function \(T\) that converts \(x\) tons to pounds. (b) Write a function \(O\) that converts \(x\) pounds to ounces. (c) Write a formula for the composition \((O \circ T)(x)\) (d) Explain what \((O \circ T)(x)\) calculates.

Problem 95

For each simation, if \(x\) represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (c) state the profit function, (d) determine analyrically how many ilems must be produced before a profit is realized (assume whole numbers of items), and (e) support the result of part (d) graphically. The fixed cost is \(\$ 500\), the cost to produce an item is \(\$ 10\), and the selling price of the item is \(\$ 35\).

Problem 95

Each inequality describes the range of average monthly temperatures \(T\) in degrees Fahrenheit at a certain location. (a) Solve the inequality. (b) Interpret the result. \(|T-50| \leq 22,\) Boston, Massachusetts

Problem 96

For each simation, if \(x\) represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (c) state the profit function, (d) determine analyrically how many ilems must be produced before a profit is realized (assume whole numbers of items), and (e) support the result of part (d) graphically. The fixed cost is \(\$ 180\), the cost to produce an item is \(\$ 11\), and the selling price of the item is \(\$ 20\).

Problem 96

Each inequality describes the range of average monthly temperatures \(T\) in degrees Fahrenheit at a certain location. (a) Solve the inequality. (b) Interpret the result. \(|T-10| \leq 36,\) Chesterfield, Canada

Problem 97

Each inequality describes the range of average monthly temperatures \(T\) in degrees Fahrenheit at a certain location. (a) Solve the inequality. (b) Interpret the result. \(|T-61.5| \leq 12.5,\) Buenos Aires, Argentina

Problem 97

For each simation, if \(x\) represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (c) state the profit function, (d) determine analyrically how many ilems must be produced before a profit is realized (assume whole numbers of items), and (e) support the result of part (d) graphically. The fixed cost is \(\$ 2700\), the cost to produce an item is \(\$ 100,\) and the selling price of the item is \(\$ 280\)

Problem 98

Each inequality describes the range of average monthly temperatures \(T\) in degrees Fahrenheit at a certain location. (a) Solve the inequality. (b) Interpret the result. \(|T-43.5| \leq 8.5,\) Punta Arenas, Chile

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