Exam 2: Functions

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Write the equation for the line passing through the point (15,17) which is perpendicular to the line y = 7.

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Find the distance between the points (2,2) and (5,6).

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Draw the graph. y=13x17y = \sqrt { 13 x - 17 }

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Find the equation of the circle with radius 4 and center (2, 3).

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  Determine the correct equation for the line passing through the point (2,22)( 2,22 ) with a slope of 7 .

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  Determine the correct equation for the line passing through the point (5,8)( 5 , - 8 ) and parallel to the line x+5y=20x + 5 y = 20

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Find the midpoint of the line segment joining the points (3,1)( 3,1 ) and (2,5)( 2,5 )

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Do the graphs intersect in the given viewing rectangle? If they do, how many points of intersection are there? y=x33x,y=x+6;[4,0] by [15,15]y = x ^ { 3 } - 3 x , y = x + 6 ; [ - 4,0 ] \text { by } [ - 15,15 ]

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The graph shows the pressure experienced by an ocean diver at two different depths. Find and interpret the midpoint of the line segment shown in the graph. The graph shows the pressure experienced by an ocean diver at two different depths. Find and interpret the midpoint of the line segment shown in the graph.

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Find the equation of a vertical line passing through the point (1,2)( - 1 , - 2 )

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Determine which point A(2, 3) or B(1, 4) is closer to the origin?

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Test the equation y=9x3+5xy = 9 x ^ { 3 } + 5 x for symmetry.

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Determine the correct equation for the line passing through the point (5,-8) and parallel to the line x + 5y = 20.

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The stopping distance D of a car after the brakes have been applied varies directly as the square of the speed s. A certain car traveling at 50 mi/h can stop in 240 ft. What is the maximum speed it can be traveling if it needs to stop in 150 ft? Round your answer to one decimal place.

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Find the slope of the line through P(5,-5) and Q(-8,34).

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A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from skidding is jointly proportional to the weight \text {W } Of the car and the square of its speed s, and is inversely proportional to the radius r of the curve. A car weighing 2,500 lbs travels around a curve at 70 mi/h. The next car to round this curve weighs 4,900 lbs and requires the same force as the first car to keep from skidding. How fast is the second car traveling?  A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from skidding is jointly proportional to the weight  \text {W }  Of the car and the square of its speed s, and is inversely proportional to the radius r of the curve. A car weighing 2,500 lbs travels around a curve at 70 mi/h. The next car to round this curve weighs 4,900 lbs and requires the same force as the first car to keep from skidding. How fast is the second car traveling?

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The relationship between the Fahrenheit (F) and Celsius c) temperature scales is given by the equation F=95C+32F = \frac { 9 } { 5 } C + 32 Complete the following table to compare the two scales at the given values. C F -25 -15 -35 86 104 77

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The relationship between the Fahrenheit (F) and Celsius c) temperature scales is given by the equation F=9C/5+32F = 9 C / 5 + 32 Complete the following table to compare the two scales at the given values. C F -25 -15 -35 86 104 77

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Fill in the table of values for the function xy=7x y = 7 . x 4 -1 2 4 7 y

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Express the statement as a formula.M varies directly as x and inversely as y Use the information that if x = -20 and y = 4 then M = -25 to find the constant of proportionality.

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