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Questions and Answers of College Algebra

Perform each operation. -|-2| -4+|-3|
Write an equation of a line (in the form specified, if given) passing through the given point(s) and satisfying any given conditions. (2, -3); perpendicular to x = 2
Find the x-and y-intercepts. Then graph each equation.y = - 2x
Find the midpoint of each segment with the given endpoints. (0, -5) and (-9, 8)
Find the x-and y-intercepts. Then graph each equation.5x + 7y = 28
Determine whether each statement is always true, sometimes true, or never true. If the statement is sometimes true, give examples for which it is true and for which it is false.The absolute value of
Find the slope of the line passing through the points (6, 4) and (-4, -1).
Determine whether each statement is always true, sometimes true, or never true. If the statement is sometimes true, give examples for which it is true and for which it is false.The sum of two
Perform each operation. (-0.8) ²
Describe how the graph of a line with undefined slope is situated in a rectangular coordinate system.
Determine whether each statement is always true, sometimes true, or never true. If the statement is sometimes true, give examples for which it is true and for which it is false.The sum of a positive
Find the x-and y-intercepts. Then graph each equation.x - 4y = 8
Which inequality has as its graph a dashed boundary line and shading below the line? A. y ≥ 4x + 3 B. y > 4x + 3 C. y ≤ 4x + 3 D. y < 4x + 3
Which line has positive slope and negative y-coordinate for its y intercept? A. B. y * * X X 0 C. 0 X D. *
Find the slope of each line. Through (-1, 2) and (4, -5)
Perform each operation. -64
Refer to the graph of function f.(a) Find ƒ(-2).(b) Find ƒ(0).(c) For what value of x is ƒ(x) = -3?(d) Give the domain and range. #H y CO --y = f(x).. 3 40 3. 0. PHI X
For each line, find the slope and the x- and y-intercepts.3x - 2y = 13
Find the slope of each line. Through (-1, 5) and (-1,-4)
Find the slope of each line. Through (0, 3) and (-2, 4)
Which equations have a graph with just one intercept?A. x - 6 = 0 B. x + y = 0 C. x - y = 4 D. y = -4
For each line, find the slope and the x-and y-intercepts.y = 5
Write an equation of the line passing through the given point(s) and satisfying any given conditions. Give the equation (a) In slope intercept form (b) In standard form (0, 3); slope I 2 5
Evaluate each expression for p = -4, q = 1/2, and r = 16. -3(2q - 3p)
Evaluate each expression for p = -4, q = 1/2, and r = 16. Vr 8p+ 2r
Write an equation of the line passing through the given point(s) and satisfying any given conditions. Give the equation (a) In slope intercept form (b) In standard form (−2, 3) and (6, −1)
Perform each operation.-32
Simplify each expression. -(-4x + 3)
Determine whether each pair of lines is parallel, perpendicular, or neither.5x - y = 8 and 5y = -x + 3
Determine whether each pair of lines is parallel, perpendicular, or neither.2y = 3x + 12 and 3y = 2x - 5
In 2000, there were 94,000 farms in Iowa. As of 2016, there were 87,000. Find and interpret the average rate of change in the number of farms per year, to the nearest whole number.
Find the slope of each line.y = 2x + 3
Find the slope of each line.3x - 4y = 5
Find the slope of each line.y = 4
A package weighing x pounds costs ƒ(x) dollars to mail to a given location, where ƒ(x) = 3.75x.(a) Evaluate ƒ(3).(b) Describe what 3 and the value ƒ(3) mean in part (a), using the terms
Determine whether each relation defines y as a function of x. (Solve for y first if necessary.) Give the domain. y = 6 X
Find the midpoint of each segment with the given endpoints. (4, -3) and (-1, 3)
A taxicab driver charges $2.50 per mile.(a) Fill in the table with the correct response for the price ƒ(x) the driver charges for a trip of x miles.(b) The linear function that gives a rule for the
Write an equation of the line passing through the given point and satisfying the given condition. (2, -7); horizontal
Graph each line passing through the given point and having the given slope. 5 (-2, -3); m = 2/ 4
Write an equation of the line passing through the given point and satisfying the given condition. (0.5, 0.2); vertical
Graph each line passing through the given point and having the given slope. 2 (0, −2); m = − 3
Determine whether each relation defines y as a function of x. (Solve for y first if necessary.) Give the domain. у= 2 x - 4
Graph each line passing through the given point and having the given slope. (0, -4); m m = 312 2
Determine whether each relation defines y as a function of x. (Solve for y first if necessary.) Give the domain. y || 7 x - 2 X
Find the midpoint of each segment with the given endpoints. (2.5, 3.1) and (1.7, -1.3)
Write an equation of the line passing through the given point and satisfying the given condition. (0.1, 0.4); vertical
The table represents a linear function.(a) What is ƒ(2)?(b) If ƒ(2) = -1.3, what is the value of x?(c) What is the slope of the line?(d) What is the y-intercept of the line?(e) Using the answers
Write an equation of the line passing through the given point and satisfying the given condition. (0, 0); horizontal
Find the midpoint of each segment with the given endpoints. (6.2, 5.8) and (1.4, −0.6)
Graph each line passing through the given point and having the given slope. (-1, -2); m = 3
Find the midpoint of each segment with the given endpoints. 이 and 빔 이내
The table represents a linear function.(a) What is ƒ(2)?(b) If ƒ(2) = 2.1, what is the value of x?(c) What is the slope of the line?(d) What is the y-intercept of the line?(e) Using the answers
To print t-shirts, there is a $100 set-up fee, plus a $12 charge per t-shirt. Let x represent the number of t-shirts printed and ƒ(x) represent the total charge.(a) Write a linear function that
Write an equation of the line passing through the given point and satisfying the given condition. (0, 0); vertical
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) In slope intercept form (b) In standard form (7, 2); parallel to 3x - y = 8
Graph each line passing through the given point and having the given slope. (-2,-4); m = 4
Find the midpoint of each segment with the given endpoints. 21 2 4'5 and 73 4'5
The graph shows water in a swimming pool over time.(a) What numbers are possible values of the independent variable? The dependent variable?(b) For how long is the water level increasing?
Graph each line passing through the given point and having the given slope. (0, 0); m = 5
Rental on a car is $150, plus $0.50 per mile. Let x represent the number of miles driven and ƒ(x) represent the total cost to rent the car.(a) Write a linear function that models this situation.(b)
Determine whether each relation defines y as a function of x. (Solve for y first if necessary.) Give the domain.xy = 1
The table shows the percentage of students at 4-year colleges who graduated within 5 years.(a) Does the table define a function?(b) What are the domain and range?(c) What is the range element that
Find the midpoint of each segment with the given endpoints. 2 (3-7) and (214)
Determine whether each relation defines y as a function of x. (Solve for y first if necessary.) Give the domain.xy = 3
The graph shows electricity use on a summer day.(a) Is this the graph of a function? Why or why not?(b) What is the domain?(c) Estimate the number of megawatts used at 8 a.m.(d) At what time was the
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) In slope intercept form (b) In standard form (4, 1); parallel to 2x + 5y = 10
Graph each line passing through the given point and having the given slope. (0, 0); m = 5 3
The table shows the percentage of persons age 12 or older who smoked cigarettes.(a) Does the table define a function?(b) What are the domain and range?(c) What is the range element that corresponds
Find the midpoint of each segment with the given endpoints. 3 5' 3 and 2² 2.
Forensic scientists use the lengths of certain bones to calculate the height of a person. Two such bones are the tibia (t), the bone from the ankle to the knee, and the femur (r), the bone from the
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) In slope intercept form (b) In standard form (-2,-2); parallel to -x + 2y =
Graph each line passing through the given point and having the given slope. (2,-5); m = 0
Segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates of the other endpoint Q. P(5,8), M(8,2)
Based on federal regulations, a pool to house sea otters must have a volume that is “the square of the sea otter’s average adult length (in meters) multiplied by 3.14 and by 0.91 meter.” If x
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) In slope intercept form (b) In standard form (-1, 3); parallel to -x + 3y =
Graph each line passing through the given point and having the given slope. (5, 3); m = 0
Segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates of the other endpoint Q. P(7, 10), M(5, 3)
Refer to the straight-line graph and work Exercises in order.By just looking at the graph, how can we tell whether the slope is positive, negative, 0, or undefined? y ITO (-1,5) 2y=-3x +
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) In slope intercept form (b) In standard form (8,5); perpendicular to 2x - y
Graph each line passing through the given point and having the given slope. (-3, 1); undefined slope
Segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates of the other endpoint Q. P(1.5, 1.25), M(3, 1)
Refer to the straight-line graph and work Exercises in order.Apply the slope formula to find the slope of the line. y ITO (-1,5) 2y=-3x + 7 NH ...0. (3,-1) X
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) In slope intercept form (b) In standard form (2, -7); perpendicular to 5x +
Graph each line passing through the given point and having the given slope. (-4,1); undefined slope
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) In slope intercept form (b) In standard form (-2, 7); perpendicular to x = 9
Segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates of the other endpoint Q. P(2.5, 1.75), M(3, 2)
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) In slope intercept form (b) In standard form (8, 4); perpendicular to x = -3
Refer to the straight-line graph and work Exercises in order.What is the slope of any line parallel to the line shown? Perpendicular to the line shown? y ITO (-1,5) 2y=-3x + 7 NH ...0. (3,-1) X
Refer to the straight-line graph and work Exercises in order.Find the x-intercept of the graph. y ITO (-1,5) 2y=-3x + 7 NH ...0. (3,-1) X
Refer to the straight-line graph and work Exercises in order.Use function notation to write the equation of the graphed line. Use ƒ to designate the function. y ITO (-1,5) 2y=-3x +
Refer to the straight-line graph and work Exercises in order.Find the y-intercept of the graph. y ITO (-1,5) 2y=-3x + 7 NH ...0. (3,-1) X
Refer to the straight-line graph and work Exercises in order.If ƒ(x) = -8, what is the value of x? y ITO (-1,5) 2y=-3x + 7 NH ...0. (3,-1) X
Write an equation in the form y = mx for each situation. Then give the three ordered pairs associated with the equation for x-values 0, 5, and 10.x represents the number of caps sold at $26 each, and
Refer to the straight-line graph and work Exercises in order.From the graph, find ƒ(1). Then confirm this value using the equation written in Exercise 82.Data from in Exercise 82Use function
If a line has slope - 4/9, then any line parallel to it has slope______, and any line perpendicular to it has slope_______ .
Write an equation in the form y = mx for each situation. Then give the three ordered pairs associated with the equation for x-values 0, 5, and 10.x represents the number of credit hours taken at a
If a line has slope 0.2, then any line parallel to it has slope_______ , and any line perpendicular to it has slope__________ .
Write an equation in the form y = mx for each situation. Then give the three ordered pairs associated with the equation for x-values 0, 5, and 10.x represents the number of hours traveling at 45 mph,
Determine whether each pair of lines is parallel, perpendicular, or neither.The line passing through (15, 9) and (12, -7) and the line passing through (8, -4) and (5, -20)

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