Crack the Code
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Questions and Answers

Which of the following numbers is mentioned in the text?

  • 3713
  • 012342305 (correct)
  • 8
  • 89

    • What is the value of 'x' in the equation $f(x) = -4(x + 3)^2 + 2$?

  • 0
  • 3
  • 6
  • -3 (correct)

    • What is the value of 'y' in the equation $y = 3x^2 - 2x + 1$?

  • 3
  • -2
  • 1 (correct)
  • 0

    • Which of the following expressions is equivalent to $5x^2 - 10x + 5$?

    <p>$5(x - 1)^2 + 5$</p> Signup and view all the answers

    What is the value of 'a' in the equation $2a - 3 = 7$?

    <p>5</p> Signup and view all the answers

    Which of the following expressions is equivalent to $3(x - 2) - 2x$?

    <p>$x - 6$</p> Signup and view all the answers

    What is the value of 'b' in the equation $4b + 8 = 20$?

    <p>6</p> Signup and view all the answers

    Which of the following expressions is equivalent to $2x^2 - 5x + 3$?

    <p>$(2x - 1)(x - 3)$</p> Signup and view all the answers

    What is the value of 'c' in the equation $3c - 2 = 13$?

    <p>4</p> Signup and view all the answers

    Which of the following expressions is equivalent to $-2(x - 3) - 4$?

    <p>$-2x - 10$</p> Signup and view all the answers

    Which of the following is an equation in LaTeX format?

    <p>$f(x) = -4(x + 3)­­­­2 + 2$</p> Signup and view all the answers

    Which of the following equations is correct?

    <p>$f(x) = -4(x + 3)^2 + 2$</p> Signup and view all the answers

    What is the value of $x$ in the equation $2x + 5 = 15$?

    <p>$x = 10$</p> Signup and view all the answers

    What is the square root of 144?

    <p>12</p> Signup and view all the answers

    What is the derivative of $f(x) = 3x^2 - 2x + 1$?

    <p>$f'(x) = 6x - 2$</p> Signup and view all the answers

    What is the value of $y$ in the equation $2y + 3 = 7$?

    <p>$y = 2$</p> Signup and view all the answers

    What is the solution to the equation $x^2 - 5x + 6 = 0$?

    <p>$x = 2, x = 3$</p> Signup and view all the answers

    What is the area of a circle with radius 5?

    <p>$25\pi$</p> Signup and view all the answers

    What is the value of $x$ in the equation $3(x - 4) = 15$?

    <p>$x = 8$</p> Signup and view all the answers

    What is the sum of the first 10 positive integers?

    <p>55</p> Signup and view all the answers

    Which of the following is the correct way to write a math equation in LaTeX format?

    <p>$f(x) = -4(x + 3)^2 + 2$</p> Signup and view all the answers

    What is the correct way to escape double quotes in JSON?

    <p>Escape double quotes with a backslash (&quot;)</p> Signup and view all the answers

    Which of the following is the correct way to express the Pythagorean theorem in LaTeX format?

    <p>$c^2 = a^2 + b^2$</p> Signup and view all the answers

    Which of the following is the correct way to write the quadratic formula in LaTeX format?

    <p>$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$</p> Signup and view all the answers

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