Translate the following phrase into an algebraic expression. Do not

An outdoor furniture manufacturer has fixed costs of $14,000 per month and average variable costs of $12.75 per units manufactured. The company has $110,000 available to cover the monthly costs. How many units can the company manufacture? (Fixed costs are those that occur regardless of the level of production. Variable costs depend on the level of production.)

Find the absolute maximum and absolute minimum values of the function ${\displaystyle f\left(x\right)=x-325{\tan }^{-1}x}$, on the interval [0,37]

How do you find the y intercept, the equation of the axis of symmetry and the x-coodinate of the vertex
${\displaystyle f\left(x\right)=x^2-10x+5?}$

Is ${\displaystyle a{x}^2+bx=0}$ considered a quadratic equation? Or is it linear, since it simplifies to ${\displaystyle ax+b=0?}$

Let ${\displaystyle <a_n>}$ and ${\displaystyle <b_n>}$ be the arithmetic progression sequences each with common difference 2 such that ${\displaystyle a_1<b_1}$ and let ${\displaystyle c_n=\sum _{\{k=1\}}^n{a}_k}$ and ${\displaystyle d_n=\sum _{\{k=1\}}^n{b}_k}$. Suppose the points ${\displaystyle A_n(a_n,c_n)}$ and ${\displaystyle B_n(b_n,d_n)}$ are all lying on the parabola, ${\displaystyle y=p{x}^2+qx+r}$, then find value of p, q.

Find the domain of the following functions:
$f(x)=\sqrt{x}+\sqrt[3]{x}$

Solve the inequality and write the solution set in interval notation.
2|6-m|-3<7