Exam 1: Equations and Inequalities

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A veterinarian wishes to use 84 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown below.If the total enclosed area is 270 square feet, find the dimensions of the enclosed area. A veterinarian wishes to use 84 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown below.If the total enclosed area is 270 square feet, find the dimensions of the enclosed area.

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E

Solve the quadratic equation by any convenient method. Solve the quadratic equation by any convenient method.

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Two friends fly from from one city to another (a distance apart of 2417 miles).It takes 2 hours and 25 minutes to fly the first 860 miles.At this rate, how long is the entire flight? Round to the nearest hundredth of an hour.

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Determine which of the following values of x is a solution to the equation Determine which of the following values of x is a solution to the equation

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A rectangular field has a perimeter of 374 feet and is to have an area at least 8280 square feet.Within what bounds must the length, x, of the rectangular field lie?

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Which of the following equations is not a conditional equation?

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Determine which of the following values of x is a solution to the equation Determine which of the following values of x is a solution to the equation

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Use the cost equation Use the cost equation   to find the number of units x that a manufacturer can produce when   Round answer to the nearest whole unit. to find the number of units x that a manufacturer can produce when Use the cost equation   to find the number of units x that a manufacturer can produce when   Round answer to the nearest whole unit. Round answer to the nearest whole unit.

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Find the domain of x in the expression Find the domain of x in the expression

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Solve: Solve:

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Solve the following polynomial equation by factoring and using the zero factor property. Solve the following polynomial equation by factoring and using the zero factor property.

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Find all solutions of Find all solutions of

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The demand equation for a product is The demand equation for a product is   where   is the price per unit and   is the number of units sold.The total revenue   for selling   units is given by   How many units must be sold to produce a revenue of $220,000? where The demand equation for a product is   where   is the price per unit and   is the number of units sold.The total revenue   for selling   units is given by   How many units must be sold to produce a revenue of $220,000? is the price per unit and The demand equation for a product is   where   is the price per unit and   is the number of units sold.The total revenue   for selling   units is given by   How many units must be sold to produce a revenue of $220,000? is the number of units sold.The total revenue The demand equation for a product is   where   is the price per unit and   is the number of units sold.The total revenue   for selling   units is given by   How many units must be sold to produce a revenue of $220,000? for selling The demand equation for a product is   where   is the price per unit and   is the number of units sold.The total revenue   for selling   units is given by   How many units must be sold to produce a revenue of $220,000? units is given by The demand equation for a product is   where   is the price per unit and   is the number of units sold.The total revenue   for selling   units is given by   How many units must be sold to produce a revenue of $220,000? How many units must be sold to produce a revenue of $220,000?

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A projectile is fired straight upward from ground level with an initial velocity of 120 feet per second.During what time period will its height exceed 220 feet? Round your answer to the nearest tenth of a second.

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A college charters a bus for $1848 to take a group of students to the Fiesta Bowl.When two more students join the trip, the cost per student decreases by $2.00.How many students were in the original group?

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Find the real solutions of the radical equation. Find the real solutions of the radical equation.

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Use the quadratic formula to solve the equation. Use the quadratic formula to solve the equation.

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Solve: Solve:

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Use interval notation to express the solution set for the inequality below. Use interval notation to express the solution set for the inequality below.

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Solve Solve   by factoring. by factoring.

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