Find the real solution(s) of the polynomial equation. Check your solution(s). $x^{3}+2 x^{2}+3 x+6=0$

Sketch the graph of the rational function. To aid in sketching the graphs, check for intercepts, symmetry, vertical asymptotes, and horizontal asymptotes. $f(x)=\frac{x+4}{x-5}$

Washing 2 cars and 3 trucks takes 130 min. Washing 2 cars and 5 trucks takes 190 min. How long does it take to wash each type of vehicle?

The rates for two different rental companies are shown below. At how many miles will the cost to rent a car be the same for both companies?

$$\begin{array}{|c|c|c|} \hline \text{Company} & \text{Deposit }(\$) & \text{Charge per Mile}\\ \hline \text{ABC Rentals} & 25 & 0.20\\ \hline \text{Rent and Go} & 30 & 0.15\\ \hline \end{array}$$

Choose an appropriate data display for the situation. Explain your reasoning. the percent of votes that each candidate received in an election

At a certain time, there are 100 milligrams of a radioactive substance. The substance decays so that after t years the number of milligrams present, N, is given by $N=100 e^{-0.045 t}$ How many milligrams, rounded to the nearest tenth of a milligram, are present after 20 years?

Sketch the graph of the rational function. To aid in sketching the graphs, check for intercepts, symmetry, vertical asymptotes, and horizontal asymptotes. $f(t)=\frac{1-2 t}{t}$

A software company is producing a new computer application. The equation S = p(54 - 0.75p) relates price p in dollars to total sales S in thousands of dollars. Use the discriminant to determine if it is possible for the company to earn $1,000,000 in sales.

What Grignard reagent and carbonyl compound can be used to prepare the antidepressant venlafaxine (trade name Effexor)?

If $f(x)=x^{3}$ and $g(x)=2 x+1,$ find the following. (a) (f + g)(x) (b) (f - g)(x) (c) (f - g)(-6) (d) (fg)(x) (e) $\frac{f}{g}(x)$ (f) $\frac{f}{g}(1)$ (g) $(f \circ g)(x)$ (h) $(g \circ f)(x)$ (i) $(g \circ f)(2)$

Determine the truth of each statement. $\frac{x+3}{5}=\frac{x}{5}+3$

Use a convergence test of your choice to determine whether the following series converge. $\sum_{k=1}^{\infty}\left(\frac{k}{2 k+3}\right)^{k}$

Circle the common root words in each set of three words. Write the meaning of the root word in the blank. Use a dictionary if necessary. bicycle, cyclical, cyclone _____

$M$ is the midpoint of $\overline{AB}$

$$AM = 14$$

$$MB = 3x - 10$$

Find $x$ and $AB$.