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Questions and Answers

What is the derivative of the function $f(x) = 12x^3 - 52x^2 + 8x - 9$?

  • $36x^2 - 104x + 8$ (correct)
  • $24x^2 - 104x + 8$
  • $36x^2 - 52x + 8$
  • $12x^2 - 52x + 8$

What is the solution for y in the equation $3y = x + 6$?

  • $y = \frac{x + 6}{3}$ (correct)
  • $y = 3x + 6$
  • $y = \frac{x - 6}{3}$
  • $y = 3(x + 2)$

What is the simplified expression of $\frac{x-3}{3} + \frac{x+5}{4} - \frac{2x-1}{6}$?

  • $\frac{2x+1}{12}$
  • $\frac{5x+2}{12}$ (correct)
  • $\frac{-x+1}{12}$
  • $\frac{x+1}{12}$

What is the value of x in the equation $x + 27 = 31$?

<p>5 (B)</p> Signup and view all the answers

What value of $x$ satisfies the equation $22 = 32 - \frac{2x^2}{5}$?

<p>$x = 4$ (B)</p> Signup and view all the answers

What is the decimal equivalent of the fraction 5.7?

<p>5.7 (B)</p> Signup and view all the answers

What is the value of $452.54 imes 10^{-9}$ in standard decimal form?

<p>0.00000045254 (A)</p> Signup and view all the answers

What are the values of f(2) and g(2) for the functions f(x) = x + 3 and g(x) = \frac{2}{x}?

<p>f(2) = 5, g(2) = 1 (A)</p> Signup and view all the answers

What is the perimeter of a rectangle with length $(4x + 5)$ cm and width $(x + 8)$ cm?

<p>$10x + 26$ cm (A)</p> Signup and view all the answers

Which of the following points lies in the first quadrant? (Select all that apply)

<p>A=(2,1) (A), B=(14,9) (B), C=(24,23) (C), D=(10,13) (D)</p> Signup and view all the answers

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