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College Algebra 11th Edition Michael Sullivan, Michael Sullivan III - Solutions

Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(-100)
Refer to the given graph, and complete each statement with the correct inequality symbol , or ≥. y_ y -x +3 4 y 0 X
Write each relation as a set of ordered pairs. A C- B D. F 4 2 -3 0
Determine the slope of each line segment in the given figure.FG ·D· H y E +
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form (-2, 6) and (4,1)
Express each relation using a different form. (For example, if the given form is a set of ordered pairs, use a graph.) There is more than one correct way to do this.y is half of x.
Express each relation using a different form. (For example, if the given form is a set of ordered pairs, use a graph.) There is more than one correct way to do this.{(0, 2), (2, 4), (4, 6)}
Refer to the given graph, and complete each statement with the correct inequality symbol , or ≥. y3x - 2 E-H y 0 DX
A student plotted the point with coordinates (-4, 2) incorrectly by moving 2 units from 0 to the right along the x-axis and then 4 units down parallel to the y-axis.
Determine the slope of each line segment in the given figure.EF ·D· H y E +
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(100)
Use the given information to determine the quadrants in which the point (x, y) must lie. (a) xy > 0 (b) xy
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form 2/3 (-3, 6); slope:
Match each equation with the graph that it most closely resembles.y = 2x A. D. G. X X X B. E. H. J 0 X X X C. F. I. x * # X
Name the quadrant, if any, in which each point is located. (a) (-2,-10) (c) (-9, 12) (e) (0, -8) (b) (4,8) (d) (3,-9) (f) (2.5, 0)
Write each relation as a set of ordered pairs. Year 2010 2012 2014 2016 Average ACT Composite Score 21.0 21.1 21.0 20.8
Refer to the given graph, and complete each statement with the correct inequality symbol , or ≥. y-3 y 0 X
What must be true about the value of at least one of the coordinates of any point that lies along an axis?
Determine the slope of each line segment in the given figure.DE ·D· H y E +
Write each relation as a set of ordered pairs. Year 1960 1980 2000 2016 Average Movie Ticket Price (in dollars) 0.76 2.69 5.39 8.65
Determine the slope of each line segment in the given figure.CD ·D· H y E +
Match each equation with the graph that it most closely resembles.y = 2x - 3 A. D. G. X X X B. E. H. J 0 X X X C. F. I. x * # X
Refer to the given graph, and complete each statement with the correct inequality symbol , or ≥. X 0: 4 +
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.g(3)
Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form (4, -2); slope -3
Name the quadrant, if any, in which each point is located. (a) (1,6) (c) (-3, 6) (e) (-3,0) (b) (-4,-2) (d) (7,-5) (f) (0, -0.5)
Match each equation with the graph that it most closely resembles.y = -2x - 3 A. D. G. X X X B. E. H. J 0 X X X C. F. I. x * # X
Write each relation as a set of ordered pairs. X -1 0 1 y -1 -1 -1
Which equation is written in standard form as specified in the text?Write the equations not written in standard form in that form. A. y = -4x7 D. x + y = 0 B. -3x + 4y = 12 E. 6x2y = 10 C. x - 6y = 3 F. 3y 5x = -15 -
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.g(-1)
Determine the slope of each line segment in the given figure.BC ·D· H y E +
Solve each problem by locating ordered pairs on the graphs. The graph shows the percentage of Americans who moved in selected years.(a) If the ordered pair (x, y) represents a point on the graph, what does x represent? What does y represent?(b) Estimate the percentage of Americans who moved in
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.g(-2)
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(-5)
In each statement, fill in the first blank with either solid or dashed. Fill in the second blank with either above or below.The boundary of the graph of y ≥ -x + 2 will be a____ line, and the shading will be ______ the line.
Match each equation with the graph that it most closely resembles.y = -2x + 3 A. D. G. X X X B. E. H. J 0 X X X C. F. I. x * # X
Write each relation as a set of ordered pairs. X 2 2 2 y -2 0 1
Match the description in Column I with its equation in Column II. I (a) Slope -0.5, b = -2 (b) x-intercept (4, 0), y-intercept (0, 2) (c) Passes through (4, -2) and (0, 0) 1 (d) m = passes through (-2,-2) 1 n = ½, passes through the origin (e) m (f) Slope 2, b = 0 II A. y = -x B. y = -x-2 C. x -
Determine the slope of each line segment in the given figure.AB ·D· H y E +
Solve each problem by locating ordered pairs on the graphs.The graph indicates personal spending in billions of dollars on medical care in the United States.(a) If (x, y) represents a point on the graph, what does x represent? What does y represent?(b) Estimate spending in 2016.(c) Write an ordered
In each statement, fill in the first blank with either solid or dashed. Fill in the second blank with either above or below.The boundary of the graph of y < -x + 2 will be a______ line, and the shading will be_____ the line.
Write the equation 10x - 7y = 70 in slope-intercept form.
Which of the following defines y as a linear function of x? А. У 4 T 5 4 B. y = X C. y = x² D. y = √x
A ladder leaning against a wall has slope 3. How many feet in the horizontal direction correspond to a rise of 15 ft? 15 ft
Fill in each blank with the correct response.The equation y = 4 has a_____ line as its graph, and x = 4 has a _______ line as its graph.
Determine whether each ordered pair is a solution of the given inequality.x - 5 > 0 (a) (0, 0) (c) (-1,3) (b) (5,0) (d) (6,2)
Fill in each blank with the correct response.To find the x-intercept of a line, we let_____ equal 0 and solve for_______. To find the y-intercept, we let_____equal 0 and solve for_______.
If a walkway rises 2 ft for every 24 ft on the horizontal, which of the following express its slope (or grade)? A. 12% D. 12 B. 2 24 E. 8.3% C. F. -19 बात 12 24
The following equations all represent the same line. Which one is in standard form as specified in this section? A. 3x – 2y = 5 = B. y || 3 2 - 5 2 C. 3 -X - 5 2 5 v = 1 D. 3x = 2y + 5
Fill in each blank with the correct response.The point with coordinates (0, 0) is the_______ of a rectangular coordinate system.
A hill rises 30 ft for every horizontal 100 ft. Which of the following express its slope (or grade)? A. 0.3 D. 30 100 B. E. 3 10 10 3 C. 3- 3 F. 30%
Find the slope of each line passing through the given points or having the given equation. (3, -3) and (8,-6)
Complete each statement. Choices may be used more than once.A(n) ________ is any set of ________ {(x, y)}. function independent variable domain ordered pairs vertical line test dependent variable relation range
Determine whether each ordered pair is a solution of the given inequality.x - 2y ≤ 4 (a) (0,0) (c) (7,1) (b) (2, -1) (d) (0, 2)
Determine whether each ordered pair is a solution of the given inequality.x + y > 0 (a) (0,0) (c) (2, -1) (b) (-2, 1) (d) (-4, 6)
Which equation is in point-slope form? A. y = 6x + 2 B. 4x + y = 9 C. y 3 = 2(x - 1) D. 2y = 3x - 7
Find the slope of each line passing through the given points or having the given equation. (4, -5) and (-1,-5)
Complete each statement. Choices may be used more than once.A(n) ________ is a relation in which, for each distinct value of the first component of the ________ , there is exactly one value of the second component. function independent variable domain ordered pairs vertical line test dependent
Which equation in Exercise 2 is in slope-intercept form?Data from in Exercise 2Which equation is in point-slope form? A. y = 6x + 2 B. 4x + y = 9 C. y 3 = 2(x - 1) D. 2y = 3x - 7
Find the slope of each line passing through the given points or having the given equation. y = x - 5
Complete each statement. Choices may be used more than once.In a relation {(x, y)}, the ________ is the set of x-values, and the ________ is the set of y-values. function independent variable domain ordered pairs vertical line test dependent variable relation range
Fill in each blank with the correct response.For any value of x, the point (x, 0) lies on the_______ -axis. For any value of y, the point (0, y) lies on the_______ -axis.
Determine whether each ordered pair is a solution of the given inequality.y ≤ 1 (a) (0,0) (c) (2, -1) (b) (3, 1) (d) (-3, 3)
A hill has slope 0.05. How many feet in the vertical direction correspond to a run of 50 ft? 50 ft (not to scale)
Find the slope of each line passing through the given points or having the given equation. 3x - 7y = 21
Fill in each blank with the correct response.The equation 2x + y = 4 has a straight _______ as its graph. One point that lies on the graph is (3, ____ ). If we solve the equation for y and use function notation, we have a(n) _______ function ƒ(x) = _______ . For this function, ƒ(3) = ____ ,
Complete each statement. Choices may be used more than once.The relation {(0, -2), (2, -1), (2, -4), (5, 3)} (does / does not) define a function. The set {0, 2, 5} is its ________ , and the set { -2, -1, -4, 3} is its ________ . function independent variable domain ordered pairs vertical line
Find the slope of each line passing through the given points or having the given equation. x 4 = 0
Match each situation in parts (a)–(d) with the most appropriate graph in choices A–D.(a) Sales rose sharply during the first quarter, leveled off during the second quarter, and then rose slowly for the rest of the year.(b) Sales fell sharply during the first quarter and then rose slowly during
Complete each statement. Choices may be used more than once.Consider the function d = 50t, where d represents distance and t represents time. The value of d depends on the value of t, so the variable t is the ________ , and the variable d is the ________ . function independent
Write the equation y + 2 = -3(x - 4) in slope-intercept form.
Complete each statement. Choices may be used more than once.The ________ is used to determine whether a graph is that of a function. It says that any vertical line can intersect the graph of a(n) ________ in no more than (zero/one/two) point(s). function independent variable domain ordered
Match each equation with the graph that it most closely resembles.y = 2x + 3 A. D. G. X X X B. E. H. J 0 X X X C. F. I. x * # X
Using the given axes, draw a graph thatillustrates the following description.Profits for a business were $10 million in 2013. They rose sharply from 2013 through 2015, remained constant from 2015 through 2017, and then fell slowly from 2017 through 2018. Profit (in millions of
In each statement, fill in the first blank with either solid or dashed. Fill in the second blank with either above or below.The boundary of the graph of y ≤ -x + 2 will be a_____ line, and the shading will be ______the line.
Find the slope of each line passing through the given points or having the given equation. 4x + 7y = 3
Write the equation y + 2 = -3(x - 4) in standard form.
Fill in each blank with the correct response.To graph a straight line, we must find a minimum of______ points. The points (3,______) and (______ , 4) lie on the graph of 2x - 3y = 0.
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.g(0)
Fill in each blank with the correct response.The equation of the x-axis is______ . The equation of the y-axis is______ .
In each statement, fill in the first blank with either solid or dashed. Fill in the second blank with either above or below.The boundary of the graph of y > -x + 2 will be a _____ line, and the shading will be ______ the line.
Let ƒ(x) = -3x + 4 and g(x) = -x2 + 4x + 1. Find the following.ƒ(-3)
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) V1 + x³ = 3
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 2 = 8
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) -2(53x) + 8 = 4 + 5x
In Problems 1–7, find the real solutions of each equation. ส ||
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) (2x + 7)² = 20
In Problems 1–7, find the real solutions of each equation. x(x - 1) = 6
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) X x - 1 9 5 x = 1
In Problems 1–7, find the real solutions of each equation. x43x² 4 = 0 -
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) x(1 + x) = 6
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 9 = (x - 1)x
In Problems 1–7, find the real solutions of each equation. V2x 5 + 2 = 4
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 2 X 3 3 4 X 6
In Problems 1–7, find the real solutions of each equation. |2x - 3| + 7 = 10
In Problems 1–7, find the real solutions of each equation. 3x² x + 1 = 0
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 1 - 3x 4 x + 6 3 + 2
In Problems 1–7, find the real solutions of each equation. 3x³ + 2x² 12x - 8 = 0
In Problems 8–10, solve each inequality. Express your answer using interval notation. Graph the solution set. -3 ≤ VI 3x - 4 2 ≤6
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) (x - 1)(2x + 3) = 3

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