Let the variable $x$ be in the range \begin{align*} -3< x <4. \end{align*} If $y= 5 x + 1$, what is the range of the variable $y$?
$\lt y \lt$
Write the function $f(x)=33e^{ 6x+2 }$ in the form $f(x)=Ae^{kx}$. What are the values of the parameters $A$ and $k$?
$A=$ , $k=$
Solve the equation $8 y^{4} \left(y^{2} - 10 y + 21\right) =0$ by factoring.
The solutions are $y = $
If there are more than one solution, separate answers by commas
The difference between two positive numbers is 2 and the sum of their squares is 100.
The numbers are
Separate answers by a comma.
Let $y(x) = - 7 e^{- 3 x - 8}$ and $u(x) = 7 x^{2} + x$. What is $y(u(x))$?
$y(u(x)) = $
Find the equation for the line through the points $(6,-7)$ and $(-10,-10)$.
$y = $
Simplify the inequality below: \begin{align*} \left|2 x - 4\right|<7 \end{align*}
$\lt x \lt$
Compute the value of $f(f(f(8)))$ for the function $f(x)=5x+3$.
$f(f(f(8))) =$
Consider the function $f(t)=15(0.3)^t. \;\;$ Find the half-life, i.e. find $t$ such that $f(t)=\frac{1}{2}f(0).$
Half-life =