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    First we find the value of f(4) which is equal to...

    First we find the value of f(4) which is equal to f(4)=4^2-3=13

    Then we check each choice in order to find the one that h(f(4))= h(13)=24

    If h(x)= x+11 then h(13)= 13+11=24 .


    Therefore...
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    The double angle formula is given by cos2x=...

    The double angle formula is given by
    cos2x= cos^2x- sin^2x=1-2sin^2x=2cos^2x-1

    So, cos^22x- sin^22x = cos2(2x)=cos4x=\frac{1}{2} .

    Finally the required value is \frac{5}{cos^22x- sin^22x...
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    Complex roots occur in conjugate pairs which...

    Complex roots occur in conjugate pairs which means that if a polynomial with real coefficients has a root of the form a+bi then a-bi is also a root.

    Based on the aforementioned theorem we have...
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    The Remainder Theorem states that if a polynomial...

    The Remainder Theorem states that if a polynomial p(x) is divided by x-k then the remainder equals p(k).
    Based on remainder theorem we have that the remainder of the aforementioned division is equal...
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    Thanks Nicole!

    Thanks Nicole!
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    logarithms exponential

    If 4^a \cdot 4^b =7^{2c}, which one of the following is the value of \frac{a+b}{2c}?


    (A) \frac{log7}{log4}

    (B) \frac{log4}{ log7}

    (C) log4 \cdot log7

    (D) log(4 \cdot 7)
  7. Thread: Conic Sections

    by Oliver
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    Thanks for your quick response!:)

    Thanks for your quick response!:)
  8. Thread: Conic Sections

    by Oliver
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    Conic Sections

    Which one of the following curves is represented by the equation (x-1)^2=9-y^2?

    (A) Line

    (B) Parabola

    (C) Circle

    (D) Hyperbola
  9. Thread: median question

    by Oliver
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    Thanks! Nice solution!!:)

    Thanks! Nice solution!!:)
  10. Thread: median question

    by Oliver
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    4,270

    median question

    Which of the following is the median of this list of numbers{2,5,8,9,11,3,5,9,4,24,5,5,10}?


    (A) 4

    (B) 5

    (C) 7

    (D) 9
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    Thanks Nicole!

    Thanks Nicole!
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    trigonometry question

    Which of the following is the value of sin(x) given that sec(x)=\frac{5}{2}?


    (A) \frac{\sqrt{21}}{5}

    (B) \frac{\sqrt{21}}{2}

    (C) \frac{\sqrt{5}}{2}

    (D) \frac{\sqrt{5}}{21}
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    Thank you!!:)

    Thank you!!:)
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    straight line question

    A straight line (l) has equation -5y=4-2x , which of the following is the slope of a perpendicular line to line (l)?


    (A) \frac{5}{2}

    (B) \frac{2}{5}

    (C) \frac{-5}{2}

    (D) ...
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    Thanks Nicole!!;)

    Thanks Nicole!!;)
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    Composition of functions

    If f(x)=x+4 , g(x)=x^2-2 and h(x)= \sqrt{x}, which of the following is f(g(h(x)))?


    (A) x+2

    (B) (x+2)^2

    (C) (x+4)^2

    (D) x+4
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    Thank you for your prompt reply!

    Thank you for your prompt reply!
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    x-intercepts question

    Which of the following are the x-intercepts of the parabola y=x^2-5x+6?

    (A) (0,2) \ and \ (0,3)

    (B) (2,0) \ and \ (3,0)

    (C) (-2,0) \ and \ (3,0)

    (D) (-2,0) \ and \ (-3,0)
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    Thanks for your quick response!!

    Thanks for your quick response!!
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    vertex of parabola

    Which of the following is the vertex of the parabola y=2(x+2)^2-7?

    (A) (2,-7)

    (B) (-2,7)

    (C) (-2,-7)

    (D) (2,7)
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    Thank you very much for you quickly answer!!:)

    Thank you very much for you quickly answer!!:)
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    Newly defined symbol question

    The operation @ is defined as a@b=(a+b)^2-a. Which one of the following is the result of a@a@a?

    (A) 4a^2-a

    (B) 16a^2-a

    (C) 4a^4-a

    (D) 16a^4-a
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    Thank you for your quick reply!;)

    Thank you for your quick reply!;)
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    Domain of a function

    Which of the following is the domain of the function f(x)=log_{x-2}(x^2-4)?


    (A) x \neq3

    (B) x>2

    (C) x>2 \ and \ x \neq3

    (D) x>0 \ and \ x \neq3
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    thanks for your answer!;)

    thanks for your answer!;)
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