Exam 10: Graphing Equations and Inequalities

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Write the equation of the line with the given slope, m, and y-intercept, (0, b). - m=13;b=2m = \frac { 1 } { 3 } ; b = 2

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Graph the linear equation. - x+y=6x + y = 6  Graph the linear equation. - x + y = 6

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Solve. -Bruce can clear a weekly profit from his house cleaning business according to the formula y = 10.25 x - 71.75, where y is the profit in dollars and x is the number of hours on the job. a. Complete the following table and graph the results. 10 20 30 40 30.75 235.75 338.25  House Cleaning Profits \text { House Cleaning Profits }  Solve. -Bruce can clear a weekly profit from his house cleaning business according to the formula y = 10.25 x - 71.75, where y is the profit in dollars and x is the number of hours on the job. a. Complete the following table and graph the results.  \begin{array}{c|c|c|c|c} \mathrm{x} & 10 & 20 & 30 & 40 \\ \hline \mathrm{y} & 30.75 & & 235.75 & 338.25 \end{array}   \text { House Cleaning Profits }    b. Find the number of hours Bruce must work to achieve a profit of $225.50 b. Find the number of hours Bruce must work to achieve a profit of $225.50

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Identify the intercepts. -Identify the intercepts. -

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Graph the linear equation. -x = 2y Graph the linear equation. -x = 2y

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Determine if the relation is also a function. -{(-3, 6), (2, -9), (4, -2), (9, -8), (10, 8)}

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Find the domain and range. -{(11,-4), (-3,5), (3,7), (12,9)}

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Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope 12- \frac { 1 } { 2 } ; y-intercept (0, 8)

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Plot the ordered pair. -(-2, -5) Plot the ordered pair. -(-2, -5)

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Complete the ordered pairs so that they are solutions of the given linear equation. -8x + y = -31 (-5, ), (0, ), (1, )

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Find the slope of the line. -y = 6x

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Determine if the relation is also a function. -Determine if the relation is also a function. -

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Use the vertical line test to determine whether or not the graph is a graph of a function. -Use the vertical line test to determine whether or not the graph is a graph of a function. -

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Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C. -(-9, 0)and (7, -5)

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The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question.   -Between what two years is the difference in function values equal to 5%? -Between what two years is the difference in function values equal to 5%?

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Plot the ordered pair. -(5, 0) Plot the ordered pair. -(5, 0)

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Decide whether a line with the given slope is upward sloping, downward sloping, horizontal or vertical. -m = -2

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Use the vertical line test to determine whether or not the graph is a graph of a function. -Use the vertical line test to determine whether or not the graph is a graph of a function. -

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Graph the inequality. - 2x4y- 2 x \geq 4 y  Graph the inequality. - - 2 x \geq 4 y

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Solve. -The amount of gas that a helicopter uses varies directly as the number of hours spent flying. The helicopter flies for 2 hours and uses 10 gallons of fuel. Find the number of gallons of fuel that the helicopter uses to fly for 6 Hours.

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