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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 $x + 27 = 31$?

5 (B) Signup and view all the answers

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

$x = 4$ (B) Signup and view all the answers

What is the decimal equivalent of the fraction 5.7?

5.7 (B) Signup and view all the answers

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

0.00000045254 (A) 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}?

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

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

$10x + 26$ cm (A) Signup and view all the answers

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

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