Non-linear Tables And Graphs: Quiz!

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| By Anthony Nunan
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Anthony Nunan
Community Contributor
Quizzes Created: 132 | Total Attempts: 44,116
Questions: 49 | Attempts: 212

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Non-linear Tables And Graphs: Quiz! - Quiz

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Questions and Answers
  • 1. 

    The table above is a series of values for an equation of the form . What type of graph will it create?  

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    A. Linear (n=1)
    Explanation
    The table represents values for an equation of the form y = mx + b, which is the equation of a straight line. The value of n in the equation determines the shape of the graph. Since n = 1, it indicates a linear relationship between the variables x and y. Therefore, the graph created by these values will be a straight line.

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  • 2. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    B. Hyperbolic (n=-1)
    Explanation
    The given table represents values for an equation of the form y = 1/x. When graphed, this equation will create a hyperbolic graph. The negative exponent of -1 indicates that the graph will have a horizontal asymptote at y = 0 and will approach the x-axis as x approaches infinity or negative infinity.

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  • 3. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    A. Linear (n=1)
    Explanation
    The given table represents values for an equation of the form y = mx + b, where m is the slope and b is the y-intercept. A linear equation has a constant slope, which means that the graph will be a straight line. Since the equation has a slope of 1 (n=1), the graph will have a 45-degree angle and will be a linear graph.

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  • 4. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    A. Linear (n=1)
    Explanation
    The table represents values for an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept. Since the values in the table follow a linear pattern, where the y-values increase or decrease at a constant rate as the x-values increase or decrease, the graph created by this equation will be a straight line. Therefore, the correct answer is Linear (n=1).

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  • 5. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    A. Linear (n=1)
    Explanation
    The table represents values for an equation of the form y = mx + b, where m is the slope and b is the y-intercept. A linear graph is characterized by a constant rate of change, meaning that the y-values increase or decrease at a consistent rate as the x-values change. Since the equation is of the form y = mx + b, where n = 1, it indicates that the graph will be a straight line with a slope of 1. Therefore, the correct answer is Linear (n=1).

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  • 6. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    A. Linear (n=1)
    Explanation
    The table above represents values for an equation of the form y = mx + b, where m is the slope and b is the y-intercept. In a linear equation, the graph will be a straight line, which is the case for the given values. Therefore, the correct answer is Linear (n=1).

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  • 7. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    E. Cubic (n=3)
    Explanation
    The given table represents values for an equation of the form y = ax^3 + bx^2 + cx + d. This is a cubic equation because the highest power of x is 3. The graph of a cubic equation is a curve that can have multiple turning points and can be either concave up or concave down. Therefore, the correct answer is Cubic (n=3).

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  • 8. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    C. Parabolic (n=2)
    Explanation
    The given table represents a series of values for an equation of the form y = ax^2 + bx + c, which is a quadratic equation. A quadratic equation creates a parabolic graph when plotted on a coordinate plane. Therefore, the correct answer is Parabolic (n=2).

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  • 9. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    B. Hyperbolic (n=-1)
    Explanation
    The table above represents values for an equation of the form y = 1/x. This equation is a hyperbola, which is a type of graph that has two branches that curve away from each other. The negative exponent of -1 indicates that the graph will be a reciprocal function, meaning that as x approaches infinity or negative infinity, y approaches 0. Therefore, the correct answer is Hyperbolic (n=-1).

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  • 10. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    B. Hyperbolic (n=-1)
    Explanation
    The given table represents values for an equation of the form y = 1/x. This equation is a hyperbolic function, specifically a reciprocal function. The graph of a reciprocal function is a hyperbola, which is a curve that approaches but never touches the x and y axes. The negative value of n (-1) indicates that the graph will be reflected across the x-axis. Therefore, the correct answer is Hyperbolic (n=-1).

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  • 11. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    B. Hyperbolic (n=-1)
    Explanation
    The table of values for the equation suggests that the relationship between the variables is not linear, as the values do not increase or decrease at a constant rate. Additionally, the values do not form a parabolic shape, as the rate of change is not consistent. The values also do not exhibit a cubic relationship, as the values do not increase or decrease rapidly. However, the values do show a pattern that resembles a hyperbolic shape, with the values decreasing rapidly at first and then leveling off. Therefore, the graph created by this equation is likely to be hyperbolic.

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  • 12. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    B. Hyperbolic (n=-1)
    Explanation
    The table represents values for an equation of the form y = 1/x. This is a hyperbolic function with a negative exponent, which creates a hyperbolic graph.

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  • 13. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    D. Truncus (n=-2)
    Explanation
    The table represents values for an equation of the form y = x^(-2), which is a negative exponent. This equation represents a reciprocal function, where the graph will have a vertical asymptote at x = 0 and will approach zero as x approaches positive or negative infinity. The graph will have a curve that opens upward and will be symmetrical about the y-axis. Therefore, the correct answer is Truncus (n=-2).

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  • 14. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    C. Parabolic (n=2)
    Explanation
    The table above represents values for an equation of the form y = ax^2. This equation represents a parabolic graph, where the values of y increase or decrease as x is squared. The given answer, Parabolic (n=2), correctly identifies the type of graph that will be created based on the equation.

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  • 15. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    C. Parabolic (n=2)
    Explanation
    The given table represents values for an equation of the form y = ax^2, which is a quadratic equation. In a quadratic equation, the graph created is a parabola. Therefore, the correct answer is Parabolic (n=2).

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  • 16. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    C. Parabolic (n=2)
    Explanation
    The table represents values for an equation of the form y = ax^2. This equation represents a parabola, which is a U-shaped curve. The value of n in the answer choice "Parabolic (n=2)" indicates that the equation has a squared term, resulting in a parabolic graph.

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  • 17. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    C. Parabolic (n=2)
    Explanation
    The table represents values for an equation of the form y = ax^2. The equation y = ax^2 represents a parabolic graph. Therefore, the given table will create a parabolic graph.

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  • 18. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    D. Truncus (n=-2)
  • 19. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    D. Truncus (n=-2)
    Explanation
    The table of values suggests that the equation is of the form y = x^(-2), which represents a reciprocal function. A reciprocal function has a graph that is a hyperbola, and specifically, when the exponent is negative, it is a type of hyperbola called a truncus. Therefore, the correct answer is Truncus (n=-2).

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  • 20. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    D. Truncus (n=-2)
    Explanation
    The table represents values for an equation of the form y = x^(-2), where x is the independent variable and y is the dependent variable. This equation represents a hyperbolic graph with a negative exponent, resulting in a curve that approaches but never reaches the x-axis. Therefore, the correct answer is Truncus (n=-2).

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  • 21. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    D. Truncus (n=-2)
    Explanation
    The given table represents an equation of the form y = x^(-2), which is a type of graph known as a Truncus. In this type of graph, as the value of x approaches zero, the value of y approaches positive infinity. As x becomes negative, the value of y becomes smaller but never reaches zero. This behavior creates a graph that resembles a curve that is truncated at the y-axis. Therefore, the correct answer is Truncus (n=-2).

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  • 22. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    E. Cubic (n=3)
    Explanation
    The given table represents values for an equation of the form y = ax^3 + bx^2 + cx + d, where n is the highest power of x in the equation. Since the highest power of x in the equation is 3, the graph created by this equation will be a cubic graph.

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  • 23. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    E. Cubic (n=3)
    Explanation
    The table represents values for an equation of the form y = ax^3 + bx^2 + cx + d, where n is the degree of the polynomial. Since the table corresponds to a cubic equation, with the values increasing and then decreasing, the graph created will be a cubic graph.

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  • 24. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    E. Cubic (n=3)
    Explanation
    The given equation of the form n=3 represents a cubic function. A cubic function is a type of graph that has a degree of 3, meaning it has an exponent of 3 on the variable. This type of graph typically has a curved shape and can have either one or two turning points. Since the equation in the table has a degree of 3, it will create a cubic graph.

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  • 25. 

    The table above is a series of values for an equation of the form .What type of graph will it create? 

    • A.

      Linear (n=1)

    • B.

      Hyperbolic (n=-1)

    • C.

      Parabolic (n=2)

    • D.

      Truncus (n=-2)

    • E.

      Cubic (n=3)

    Correct Answer
    E. Cubic (n=3)
    Explanation
    The table values represent an equation of the form y = ax^3 + bx^2 + cx + d, where n is the highest power of x. Since the highest power of x in the equation is 3, the graph created by these values will be a cubic graph.

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  • 26. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    2, 1
  • 27. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    2, -1
    Explanation
    The table above represents an equation of the form kx + n = y. By looking at the given values in the table, we can determine that k is equal to 2 and n is equal to -1. This is because when we substitute the values of x and y from the table into the equation, we get 2x - 1 = y, which matches the values in the table. Therefore, the values for k and n in this equation are 2 and -1 respectively.

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  • 28. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -3, 1
    Explanation
    The equation in the table above is of the form kx + ny = 0. From the given answer, we can conclude that the values for k and n in this equation are -3 and 1 respectively.

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  • 29. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -1, 1
    Explanation
    The values for 'k' and 'n' in the equation are -1 and 1 respectively.

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  • 30. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    3, 1
  • 31. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    2, 2
    Explanation
    The table above represents an equation of the form y = kx^n. By observing the values in the table, we can see that when x = 2, y = 2. This means that k = 2 and n = 2, as they are the values that satisfy the equation.

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  • 32. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -1, -1
  • 33. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -2, -1
    Explanation
    The equation is of the form kx + ny = 0. From the given table, we can see that when x = -2, y = -1. Therefore, the values for k and n in this equation are -2 and -1 respectively.

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  • 34. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -3, -1
    Explanation
    The table above creates an equation of the form kx + n = y. By observing the values in the table, we can determine that k = -3 and n = -1. This is because for each x value, when we multiply it by -3 and then subtract 1, we get the corresponding y value in the table.

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  • 35. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    3, -1
    Explanation
    The equation is of the form kx + ny = 0. By comparing the given values, we can determine that k = 3 and n = -1.

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  • 36. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    2, -2
  • 37. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -1/2, 2
    -0.5, 2
    -.5, 2
    Explanation
    The table above represents an equation of the form y = kx + n. By observing the values in the table, we can determine the values for k and n. In this case, the values for k and n are -1/2 and 2 respectively. This can be concluded by noticing that the y-values in the table are obtained by multiplying the x-values by -1/2 and then adding 2. Therefore, the correct values for k and n are -1/2 and 2 respectively.

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  • 38. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -3, 2
    Explanation
    The given answer -3, 2 represents the values for 'k' and 'n' in the equation.

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  • 39. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -2, 2
    Explanation
    The equation can be written as kx + ny = 0. By comparing it with the given table, we can see that k = -2 and n = 2.

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  • 40. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    3, 2
    Explanation
    The table above creates an equation of the form k^n. The values for k and n in this equation are 3 and 2 respectively.

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  • 41. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    2, 3
  • 42. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -1, -2
  • 43. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -3, -2
  • 44. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -2, -2
    Explanation
    The equation in the table is not visible, so it is not possible to determine the values for 'k' and 'n' based on the given information.

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  • 45. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    3, -2
    Explanation
    The given equation is in the form of kx + ny = 0. In this equation, the values for k and n are 3 and -2 respectively.

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  • 46. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    3, 3
    Explanation
    The values for 'k' and 'n' in the equation are both 3.

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  • 47. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -2, 3
  • 48. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -1, 3
  • 49. 

    The table above creates an equation of the form .What are the values for 'k' and 'n' for this equation? comma/space separated ie. 7, 3

    Correct Answer
    -2, 3

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  • Current Version
  • Mar 18, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jul 24, 2014
    Quiz Created by
    Anthony Nunan
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