Exam 4: Systems of Linear Equations

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Write the linear inequality for the given graph. Write the linear inequality for the given graph.

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A boat takes a long trip traveling 140 miles downstream in 7 hours. The return trip upstream takes 10 hours. Let b be the rate of the boat in still water in miles per hour and let c be the rate of the current in miles per hour. When the boat is traveling downstream it is moving A boat takes a long trip traveling 140 miles downstream in 7 hours. The return trip upstream takes 10 hours. Let b be the rate of the boat in still water in miles per hour and let c be the rate of the current in miles per hour. When the boat is traveling downstream it is moving   miles per hour. miles per hour.

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The graphs of two functions The graphs of two functions   and   are given below. Using the graphs determine   .  and The graphs of two functions   and   are given below. Using the graphs determine   .  are given below. Using the graphs determine The graphs of two functions   and   are given below. Using the graphs determine   .  . The graphs of two functions   and   are given below. Using the graphs determine   .

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Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent. Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent.    Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent.

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Graph the solution set for the system of inequalities. Graph the solution set for the system of inequalities.    Graph the solution set for the system of inequalities.

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You have two part-time jobs: at the library paying $7 per hour and at the student radio paying $9 per hour. You want to earn at least $175 per week. In addition you can only work at most 25 hours per week. Let b be the hours you work at the library each week and let r be the hours that you work at the radio each week. Write the system of linear inequalities that describes this situation and graphically solve the system of inequalities. You have two part-time jobs: at the library paying $7 per hour and at the student radio paying $9 per hour. You want to earn at least $175 per week. In addition you can only work at most 25 hours per week. Let b be the hours you work at the library each week and let r be the hours that you work at the radio each week. Write the system of linear inequalities that describes this situation and graphically solve the system of inequalities.

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Is the point Is the point   in the solution set of  in the solution set of Is the point   in the solution set of

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Find the inverse of Find the inverse of   . .

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The graph below shows the solution set to an inequality. Is the point The graph below shows the solution set to an inequality. Is the point   in the solution set?  in the solution set? The graph below shows the solution set to an inequality. Is the point   in the solution set?

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Solve the exponential equation Solve the exponential equation   for   . Round to the nearest thousandth. for Solve the exponential equation   for   . Round to the nearest thousandth. . Round to the nearest thousandth.

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Determine whether the given point is in the solution set of the system of inequalities graphed below. Determine whether the given point is in the solution set of the system of inequalities graphed below.    Determine whether the given point is in the solution set of the system of inequalities graphed below.

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Solve the logarithmic equation Solve the logarithmic equation   for   . A) 5 B) -5 C) 5 D) No solution E) 0 for Solve the logarithmic equation   for   . A) 5 B) -5 C) 5 D) No solution E) 0 . A) 5 B) -5 C) 5 D) No solution E) 0

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Write the linear inequality for the given graph. Write the linear inequality for the given graph.

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The value of The value of   is 13.05. is 13.05.

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Solve the exponential equation Solve the exponential equation   for   . Round to the nearest thousandth. for Solve the exponential equation   for   . Round to the nearest thousandth. . Round to the nearest thousandth.

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If solving a system of equations using the substitution method results in the one solution If solving a system of equations using the substitution method results in the one solution   which describes the system? which describes the system?

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If you have invested $3000 in a bank CD that pays 3% simple interest your interest for one year is $90.

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If the hydrogen ion concentration of a soil sample is If the hydrogen ion concentration of a soil sample is   what is the pH level of the soil? what is the pH level of the soil?

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Solve the system using the elimination method. Solve the system using the elimination method.

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If $16000 is invested at an interest rate of 6% for 25 years compounded continuously determine the annual growth rate if the money were compounded quarterly? Rounded to the nearest thousandth of a percent.

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