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Math Help - Algebra 2

  1. #1
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    Algebra 2

    True or False. Please explain, give an example, or provide the correct answer to support their choice.

    1. y = 2x + 1 is an example of a quadratic equation.


    2. ln is a special logarithm where the base equals to 10


    3. The graph of y = 2x passes through the point (1, 0).
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  2. #2
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    Re: Algebra 2

    Hello, eric132!


    True or False.
    Please explain, give an example, or provide the correct answer to support their choice.

    1. y = 2x + 1 is an example of a quadratic equation. . false

    A quadratic equation has a variable to the second power (which is the variable's highest power).

    Examples: . \begin{array}{ccc}y \:=\:2x^2+1 \\ y^2 \:=\:2x+1 \end{array}




    2. ln is a special logarithm where the base equals 10. . false

    ln is a logarithm with the base e, which is approximately 2.71828...




    3. The graph of y = 2x passes through the point (1, 0). . false

    \text{The point }(1, 0)\text{ means: }\:x = 1,\;y = 0

    \text{Substituting, we get: }\:0 \,=\,2^1\:\text{ which is }not\text{ a true statement.}

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  3. #3
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    Re: Algebra 2

    Quote Originally Posted by Soroban View Post
    Hello, eric132!



    A quadratic equation has a variable to the second power (which is the variable's highest power).

    Examples: . \begin{array}{ccc}y \:=\:2x^2+1 \\ y^2 \:=\:2x+1 \end{array}
    Actually, every linear function is considered to be a degenerate form of a quadratic equation, just with the coefficient of x^2 being 0.
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