Algebra Word Problem Solutions

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 4. Roots of multiplicity 2 at ${\displaystyle x=\frac{1}{2}}$ and roots of multiplicity 1 at x = 6 and x = −2. y-intercept at (0,18)

To plot the complex number and find its absolute value.
Given information:
${\displaystyle z=-\sqrt{2}+\sqrt{2}i}$

Plot a complex number graph. Specify the absolute value of the number.
i+1

The exact sum of the positive roots ${\displaystyle x^2-2x-2=0}$ and ${\displaystyle x^2+2x-11=0}$

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change.Then graph the function. $y=5^x$

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Decide which, if any, are exponential, and give the exponential models for those that are.
$\begin{array}{}x& -2& -1& 0& 1& 2\\ f(x)& 0.8& 0.2& 0.1& 0.005& 0.025\\ g(x)& 80& 40& 20& 10& 2\end{array}$

Evaluate the integrals
${\displaystyle {\int }_0^1[t^{3}i+7j+(t+1)k]dt}$

Plot the complex number and find its absolute value.
z=9+7i

Express radical $\sqrt{28}+\sqrt{5}-3\sqrt{7}$ in the simplest form

Modeling: Draw models to represents $\frac{3}{4}$ and ${\displaystyle 2\frac{3}{5}}$

The historical prices of a car are recorded for 12 years as shown.

Express radical $5\sqrt{44}-\sqrt{99}$ in the simplest form

The monthly rents for Jillians

If a given population has a constant growth rate over time and is never limited by food or disease, it exhibits exponential growth.

Use the fallowing terms to create a concept map that compares models of population growth: logistic model, exponential model, density dependent factors, density independent factors, limited growth, unlimited growth, disease, drought, food availability, and forest fires.

Simplify radical expression ${\displaystyle \sqrt{\frac{2}{3a}}-2\sqrt{\frac{2}{3a}}}$

Plot the complex number and find its absolute value.
z=9i

An $8\times 8$ chessboard has a square cell (or box, like square a1) which measures $\beta$ inches on one side.

Express the two possible moves of your knight in vector form with units in inches.

What are the distances of each possible move from your original position in inches?

What are their angles from the horizontal (x-axis)?

Regarding linear equations with one independent variable, answer the following questions: a. What is the general form of such an equation? b. In your expression in part (a), which letters represent constants and which represent variables? c. In your expression in part (a), which letter represents the independent variable and which represents the dependent variable?

Contain linear equations with constants in denominators. Solve each equation. ${\displaystyle \frac{x}{3}=\frac{x}{2}-2}$