Exam 2: Solving Equations and Inequalities

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Solve the inequality Solve the inequality   and write the solution set in interval notation. and write the solution set in interval notation.

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D

Determine whether there is positive correlation, negative correlation, or no discernible correlation between the variables shown in the scatter plot below. Determine whether there is positive correlation, negative correlation, or no discernible correlation between the variables shown in the scatter plot below.

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C

Find all solutions of Find all solutions of   . .

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The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables. The scatter plots of different data are shown below. Determine whether there is a positive correlation, negative correlation, or no discernible correlation between the variables.

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Solve: Solve:

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Find all solutions of the following equation. Find all solutions of the following equation.

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Simplify Simplify   and write the answer in standard form. and write the answer in standard form.

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Find all solutions of the following equation algebraically. Find all solutions of the following equation algebraically.

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Find all solutions of Find all solutions of   . .

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Use absolute value notation to define the interval shown below. Use absolute value notation to define the interval shown below.   -3 3 -3 3

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Solve: Solve:

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Find all solutions of the following equation algebraically. Find all solutions of the following equation algebraically.

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Find all solutions of Find all solutions of   . .

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Given the following equation, set Given the following equation, set   and solve the resulting equation.  and solve the resulting equation. Given the following equation, set   and solve the resulting equation.

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Which of the following is a zero of the given function? Which of the following is a zero of the given function?     ,   ,   ,  Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,

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Which of the following is a zero of the given function? Which of the following is a zero of the given function?     ,   '   ,  Which of the following is a zero of the given function?     ,   '   ,  , Which of the following is a zero of the given function?     ,   '   ,  ' Which of the following is a zero of the given function?     ,   '   ,  , Which of the following is a zero of the given function?     ,   '   ,

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Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is,   where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.   Sketch a scatter plot of the data. where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied. Hooke's Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is,   where k is the measure of the stiffness of the spring and is called the spring constant. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.   Sketch a scatter plot of the data. Sketch a scatter plot of the data.

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Determine any point(s) of intersection between the following equations. Determine any point(s) of intersection between the following equations.

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Which of the following is a zero of the given function? Which of the following is a zero of the given function?     ,   ,   ,  Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,  , Which of the following is a zero of the given function?     ,   ,   ,

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Simplify Simplify   and write the answer in standard form. and write the answer in standard form.

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