GRADES On her first four quizzes, Rachael has earned scores of 21,24,23, and 17 points. What score must Rachael earn on her fifth and final quiz so that both the mean and median of her quiz scores is 21? square

Show algebraically that f and g are inverse functions. (Example 3) 30 $f(x)=\frac {x^{2}}{4}+8,x\geqslant 0$ $g(x)=\sqrt {4x-32}$

Find the higher-order derivative. See Examples 1 and 3. $f^{(4)}(x)=(x^{2}+6)^{2}$ $f^{(6)}(x)=\square $

Determine the equation of the slant asymptote for the equation $f(x)=\frac {x^{2}+3}{x-1}$ Give your answer in the form ' $y=mx+b'$ Provide your answer below: $y=\square $

Find the inverse of $f(x)=\frac {-3x+3}{-4x+2}$ $f^{-1}(x)=\square $

16 The sum of a rational and irrational number is a(n) $\square $ number.

Is the first number is divisible by the second number? $736,652;9$ No Yes

Several equations are given illustrating a suspected number pattern. Determine what the next equation would be,and verify that it is indeed a true statement. $2^{2}-1^{2}=2+1$ $3^{2}-2^{2}=3+2$ $4^{2}-3^{2}=4+3$ Select the correct choice below and fill in the answer box to complete your choice. (Type an equation, Do not simplify.) A. The next equation would be $\square $ , but it is a false statement. B. The next equation would be $\square $ , and it is a true statement.

(1) Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. $32k^{4}+22k^{3}-9k-33$ $\square $

If $f(x,y)=sin(x)+sin(y)$ then $-\sqrt {2}\leqslant D_{u}f\leqslant \sqrt {2}$ True False

\[ \begin{array}{c} 7 / 10 \\ -14+(-3) \end{array} \] Type your answer.