Exam 3: Linear Equations, Graphs, and Functions

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Graph the solution set of the inequality in the rectangular coordinate plane. - x4|x| \geq 4  Graph the solution set of the inequality in the rectangular coordinate plane. - |x| \geq 4

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Determine whether the relation defines yy as a function of xx . Give the domain. - 4x=115y4 x=11-5 y

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Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. - (2,4)(-2,-4) and (2,1)(-2,1)

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Identify whether the slope is -Identify whether the slope is -

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Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through (5,1)(5,1) ; undefined slope

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Find an equation of the line that satisfies the conditions. Write the equation in standard form. - x\mathrm{x} -intercept (2,0);m=4(-2,0) ; \mathrm{m}=4

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Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through (3,9)(3,9) ; horizontal

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Identify whether the slope is -Identify whether the slope is -

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Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.  Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.    - (4,-5) - (4,5)(4,-5)

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Solve the problem -The number of births in County AA has been increasing in recent years. Using the information given on the bar graph for the years 1960 and 1990, find an equation to model the number of births yy for the year x\mathrm{x} . Let x=0\mathrm{x}=0 correspond to the year 1960 .  Solve the problem -The number of births in County  A  has been increasing in recent years. Using the information given on the bar graph for the years 1960 and 1990, find an equation to model the number of births  y  for the year  \mathrm{x} . Let  \mathrm{x}=0  correspond to the year 1960 .

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Find the slope of the line and sketch the graph. - 3y=2x6-3 y=-2 x-6  Find the slope of the line and sketch the graph. - -3 y=-2 x-6

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Solve the problem. -Suppose all items in an ice cream truck cost $0.97\$ 0.97 per item. (a) Fill in the table with the correct response for the cost f(x)f(x) of purchasing xx items. (b). Write the linear function that gives a rule for finding the cost.  Solve the problem. -Suppose all items in an ice cream truck cost  \$ 0.97  per item. (a) Fill in the table with the correct response for the cost  f(x)  of purchasing  x  items. (b). Write the linear function that gives a rule for finding the cost.

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Which one of the following does not define yy as a function of xx ?

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Find the equation in slope-intercept form of the line satisfying the conditions. - m=7\mathrm{m}=-7 , passes through (9,4)(-9,4)

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Solve the problem -A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20%20 \% grade, or slope. If the vertical height at the end of the ramp must be 15ft15 \mathrm{ft} to assure that the stunt is a success, what must be the length of the horizontal run?  Solve the problem -A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a  20 \%  grade, or slope. If the vertical height at the end of the ramp must be  15 \mathrm{ft}  to assure that the stunt is a success, what must be the length of the horizontal run?

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Graph the compound inequality. - x+y2x+y \geq 2 and y2y \leq 2  Graph the compound inequality. - x+y \geq 2  and  y \leq 2

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Find the equation in slope-intercept form of the line satisfying the conditions. - m=2m=2 , passes through (6,3)(6,-3)

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Graph the compound inequality. - x5y4x-5 y \leq 4 or 5x+y35 x+y \leq 3  Graph the compound inequality. - x-5 y \leq 4  or  5 x+y \leq 3

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Name the quadrant, if any, in which the point is located. - (0,17)(0,-17)

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Solve the problem -It costs $23\$ 23 per hour plus a flat fee of $26\$ 26 for a plumber to make a house call. Find the total cost to have a plumber come to a house for 4 hours.

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