Algebra Word Problem Solutions

Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. $y=3e^x$

Find the multiplier for the rate of exponential growth or decay. 3% decay ________

Graph each polynomial function. Factor first if the expression is not in factored form.
${\displaystyle f\left(x\right)=x^2(x+1)(x-1)}$

${\displaystyle \left(3\frac{z}{8}\right)-\left(\frac{z}{10}\right)=6}$

Solve the equation and check your solution. ${\displaystyle \frac{20-2x}{7}=\frac{4x+9}{8}}$

${\displaystyle {\sin }^2(-x)+{\cos }^{2}x=1}$

${\displaystyle x+\left(\frac{3}{2}\right)+x+\left(\frac{2}{3}\right)=-(-x-2)}$

Explain how to complete the square for an expression of the form $x^2+bx.$
Add ? to ${\displaystyle x^2+bx.}$

cost of store: 140 markup: 25% what is selling price

Graph linear and Y intercepts Y=4x-2

What are quantitative data measurements?
A. Measurements that are appropriate for any type of variable
B. Measurements of categorical variables and can be displayed as types or descriptions
C. Measurements that are appropriate in all experiments
D. Measurements of numerical variables and are displayed as numerical values

The article “Modeling of Urban Area Stop-andGo Traffic Noise” presents measurements of traffic noise, in dBA, from 10 locations in Bangkok, Thailand. Measurements, presented in the following table, were made at each location, in both the acceleration and deceleration lanes.
\(\begin{array}{|c|c|}\hline \text{Location} & \text{Acceleration} & \text{Decelaration} \\ \hline 1 & 78.1 & 78.6 \\ \hline 2 & 78.1 & 80.0 \\ \hline 3 & 79.6 & 79.3 \\ \hline 4 & 81.0 & 79.1 \\ \hline 5 & 78.7 & 78.2 \\ \hline 6 & 78.1 & 78.0 \\ \hline 7 & 78.6 & 78.6 \\ \hline 8 & 78.5 & 78.8 \\ \hline 9 & 78.4 & 78.0 \\ \hline 10 & 79.6 & 78.4 \\ \hline \end{array}\)
Can you conclude that there is a difference in the mean noise levels between acceleration and deceleration lanes?

Whether the temperature ${\displaystyle \left(T_p\right)}$ on the surface of the planet will be suitable for liquid water to exist mean surface temperature of the star${\displaystyle \left(T_s\right)}$ is ${\displaystyle {7700}^{\circ }C,}$ mean radius of the star r is ${\displaystyle 1.26\times {10}^{6}km,}$ the distance between the star and the planet d is ${\displaystyle 4.3\times {10}^{8}km}$ and the model formula is
${\displaystyle T_p=0.7(T_s+273){\left(\frac{r}{d}\right)}^{{}^1\mathrm{\angle }2}-273}$

To calculate:
To evaluate the expression
${\displaystyle x^{{}^5\mathrm{\angle }3}\cdot x^{{}^{\frac{-3}{4}}}}$

Solve the following absolute value inequality.
${\displaystyle |x-2|>6}$

Does the equation ${\displaystyle x^2\equiv x\cdot x\equiv 2x\cdot 4x\text{mod}7}$ show that factorization of polynomials mod 7 is not unique? Why or why not?

Complete the sentence. 0.04 is
$1/10$
of _____.

Find the rationalize the denominator of $\frac{-4}{\sqrt[3]{5x}}$

We need to calculate the simplified form of the expression,
$\frac{c^2+13c+18}{c^2-9}+\frac{c+1}{c+3}-\frac{c+8}{c-3}$

Write each radical expression using exponents and each exponential expression using radicals. Radical expression Exponential expression $\sqrt[3]{y^4}$