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study help
mathematics
survey of mathematics
Questions and Answers of
Survey of Mathematics
Fill in the blank with an appropriate word, phrase, or symbol(s).A system of equations that has an infinite number of solutions is called a(n) __________ system of equations.
Fill in the blank with an appropriate word, phrase, or symbol(s).A system of equations that has no solution is called a(n) _______ system of equations.
Fill in the blank with an appropriate word, phrase, or symbol(s).The ordered pair or ordered pairs that satisfy all equations in a system of equations is called the _________ to the system of
Fill in the blank with an appropriate word,phrase, or symbol(s).When two or more linear equations are considered simultaneously, the equations are called a(n) _________ of linear equations.
In which quadrants will the set of points that satisfy the equation x + y = 1 lie? Explain.
(a) Two lines are parallel when they do not intersect no matter how far they are extended. Explain how you can determine, without graphing the equations, whether the graphs of two different equations
The green graph shows the number of recreational vehicles sold in the United States, in thousands, for the years 20092014. The red dashed line can be used to approximate the number of
The green graph shows healthcare spending, in trillions of dollars, in the United States for the years 20122014 and projected to 2020. The red dashed line can be used to approximate
The graph below shows the hours studied and the test grades on a biology test for 7 students. The red line on the graph can be used to approximate the test grade the average student receives for the
The top graph on the right shows the daily number of workers absent from the assembly line at J. B. Davis Corporation and the number of defects coming off the assembly line for each of 9 days.
The Schwimmers’ cost for cable television is given by C = 75 + 25x, where xis the number of months of service.(a) Graph C = 75 + 25x, for x ≤ 50.(b) From the graph, estimate the
When $1000 is invested in a savings account paying simple interest for a year, the interest, i, in dollars, earned can be found by the formula i = 1000r, where r is the interest rate in decimal
Ryan sells chocolate on the Internet. His monthly profit, p, in dollars, can be estimated by p = 15n - 300, where n is the number of dozens of chocolates he sells in a month.(a) Graph p =15n -
Tanisha owns a wallpaper hanging business. Her charge, C, for hanging wallpaper is $40 plus $0.30 per square foot of wallpaper she hangs, or C = 40 + 0.30s, where s is the number of square feet of
For what value of b will the line joining the points P and Q be parallel to the indicated axis?P(-6, 2b + 3), Q(7, -1); x-axis
For what value of b will the line joining the points P and Q be parallel to the indicated axis?P(3b - 1, 5), Q(8, 4); y-axis
For what value of b will the line joining the points P and Q be parallel to the indicated axis?P(4, 7), Q(b, -2); y-axis
For what value of b will the line joining the points P and Q be parallel to the indicated axis?P(2, - 3), Q(6, b) x-axis
Points A, B, and C are three vertices of a parallelogram with sides parallel to the x-axis. Plot the three points. Determine the coordinates of the fourth point, D, to complete the
Points A, B, and C are three vertices of a rectangle. Plot the three points.(a) Determine the coordinates of the fourth point, D, to complete the rectangle.(b) Determine the area of the rectangle;
Points A, B, and C are three vertices of a parallelogram with sides parallel to the x-axis. Plot the three points. Determine the coordinates of the fourth point, D, to complete the parallelogram.A(3,
Points A, B, and C are three vertices of a rectangle. Plot the three points.(a) Determine the coordinates of the fourth point, D, to complete the rectangle.(b) Determine the area of the rectangle;
Determine the equation of the graph 3 20 -3 -2 -l, 2 3 4
Determine the equation of the graph y↑ 5- 4. 1 2 3 4 5 х -2
Determine the equation of the graph. yT 3- -3 -2 -L1 2 3 4 -2 -3
Determine the equation of the graph. 5- -1 1 2 3 4 х -2
Graph the equation using the slope and y-intercept.3x + 4y - 8 = 0
Graph the equation using the slope and y-intercept.3x - 2y + 6 = 0
Graph the equation using the slope and y-intercept.3x + 2y = 6
Graph the equation using the slope and y-intercept.7y = 4x - 7
Graph the equation using the slope and y-intercept.y = (1/2)x - 2
Graph the equation using the slope and y-intercept.y = -(1/2)x + 1
Graph the equation using the slope and y-intercept.y = 3x - 1
Graph the equation using the slope and y-intercept.y = -2x + 3
Graph the equation using the slope and y-intercept.y = -x - 2
Graph the equation using the slope and y-intercept.y = x + 2
Determine the slope of the line through the given points. If the slope is undefined, so state.(2, 1) and (-5, -9)
Determine the slope of the line through the given points. If the slope is undefined, so state.(-3, -1) and (8, -9)
Determine the slope of the line through the given points. If the slope is undefined, so state.(2, 6) and (2, -3)
Determine the slope of the line through the given points. If the slope is undefined, so state.(8, -3) and (8, 3)
Determine the slope of the line through the given points. If the slope is undefined, so state.(-3, 5) and (-1, -2)
Determine the slope of the line through the given points. If the slope is undefined, so state.(1, 5) and (4, 5)
Determine the slope of the line through the given points. If the slope is undefined, so state.(-2, 6) and (-4, 9)
Determine the slope of the line through the given points. If the slope is undefined, so state.(5, 1) and (8, 8)
Determine the slope of the line through the given points. If the slope is undefined, so state.(4, 3) and (3, 4)
Determine the slope of the line through the given points. If the slope is undefined, so state.(3, 5) and (5, 9)
Graph the equation, using the x- and y-intercepts.3x - y = -6
Graph the equation, using the x- and y-intercepts.x + 2y = 6
Graph the equation, using the x- and y-intercepts.6x = 3y - 9
Graph the equation, using the x- and y-intercepts.2x = -4y - 8
Graph the equation, using the x- and y-intercepts.2x - y = 4
Graph the equation, using the x- and y-intercepts.2x + y = 6
Graph the equation, using the x- and y-intercepts.x - y = 3
Graph the equation, using the x- and y-intercepts.x + y = 1
Graph the equation, using the x- and y-intercepts.x - y = 4
Graph the equation, using the x- and y-intercepts.x + y = 2
Graph the equation by plotting points.y = -(2/3)x
Graph the equation by plotting points.y = (1/3)x
Graph the equation by plotting points.3y = 2x - 3
Graph the equation by plotting points.y = (1/2)x + 4
Graph the equation by plotting points.y - 4x = 8
Graph the equation by plotting points.y + 3x = 6
Graph the equation by plotting points.y = -2x + 3
Graph the equation by plotting points.y = 2x - 1
Graph the equation by plotting points.y = x - 2
Graph the equation by plotting points.y = x + 1
Graph the equation and state the slope of the line if the slope exists.y = -4
Graph the equation and state the slope of the line if the slope exists.y = 3
Graph the equation and state the slope of the line if the slope exists.x = -2
Graph the equation and state the slope of the line if the slope exists.x = 3
Determine which ordered pairs satisfy the given equation.x/2 + 3y = 4 (0, 3/4) (8, 0), (10, -2)
Determine which ordered pairs satisfy the given equation.x/4 + 2y/3 = 2 (8, 0) (1, 1/2), (0, 3)
Determine which ordered pairs satisfy the given equation.2x - 3y = 9 (0, -3) (2, 1) (-3, -5)
Determine which ordered pairs satisfy the given equation.6y = 3x + 6 (1, -1) (4, 3) (2, 5)
Determine which ordered pairs satisfy the given equation.3y = 4x + 2 (2, 1) (1, 2) (0, 2/3)
Determine which ordered pairs satisfy the given equation.3x - 2y = 10 (8, 7) (-1, 4) (10/3, 0)
Determine which ordered pairs satisfy the given equation.3x - y = -5 (0, 5) (-1, 2) (2, 1)
Determine which ordered pairs satisfy the given equation.x + 3y = 11 (5, 2) (8, 1) (0, 5)
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point.Fig. 6.22. У 5- 26 ·4. 34 3- |25 33 32 28 27 -5-4 –3 –2 –1, х 2 3 4 5 31 -2 30 -3 29 -4 -5
Plot all the points on the same axes.(4.5, 3.5)
Plot all the points on the same axes.(5, 1)
Plot all the points on the same axes.(-3, 0)
Plot all the points on the same axes.(0, 2)
Plot all the points on the same axes.(0, -1)
Plot all the points on the same axes.(-1, -5)
Plot all the points on the same axes.(3, 2)
Plot all the points on the same axes.(4, -1)
Plot all the points on the same axes. (2}. 5 })
Plot all the points on the same axes.(0, -5)
Plot all the points on the same axes.(0, 0)
Plot all the points on the same axes.(0, 2)
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