Algebra Word Problem Solutions

Find the multiplier for the rate of exponential growth or decay. 12% growth ________

a. $4u-3v-w=0$
b. $4\times 324\times 32$
c. $4\times (16\times 25)4\times (16\times 25)$
d. $(250+86)+50$

${\displaystyle x^4{(x^2-3)}^6{\sin }^{2}8x}$

Tell whether the function represents exponential growth or decay. z(x)=47(0.55)^x

Write an exponential growth or decay function to model each situation. Then find the value of the function after the given amount of time. The student enrollment in a local high school is 970 students and increases by 1.2% per year, 5 years.

Saw a board 8 ft 4 in. long into nine equal pieces. If the loss per cut is 1/8 in., how long will each piece be?

Solve the following equation for x
${\displaystyle 5(x-3)=35}$

${\displaystyle \frac{16-\left(4\left(\frac{1}{2}\right)\right)}{\left(\frac{1}{2}\right)+2\left(\frac{1}{8}\right)}}$

${\displaystyle x²-5x=18+2x}$

For what value of the constant c is the function f continuous on ${\displaystyle (-\infty ,+\infty )?}$
$$ ${\displaystyle f\left(x\right)=\{\left(c{x}^2\right)+4x,\left(x^3\right)-cx\}\text{if}x<5,\text{if}x\Rightarrow 5}$ c=

Are the associative properties true for all integers? Explain.

${\displaystyle f\left(x\right)=\frac{5}{9}(x-32)}$ find the inverse function

Write two rational and three irrational numbers that are between 3 and 4 with explanation.

Use your knowledge of the graphs of polynomial functions to make a rough sketch of the graph of ${\displaystyle y=-2x^3+x^2-5x+2}$

In addition to quadratic and exponential models, another common type of model is called a power model. Power models are models in the form ${\displaystyle \hat{y}=a\cdot x^p}$. Here are data on the eight planets of our solar system. Distance from the sun is measured in astronomical units (AU), the average distance Earth is from the sun. $\begin{array}{|ccc|}\hline \text{Planet}& \text{Distance from sun}\text{(astronomical units)}& \text{Period of revolution}\text{(Earth years)}\\ \text{Mercury}& 0.387& 0.241\\ \text{ Venus }& 0.723& 0.615\\ \text{ Earth }& 1.000& 1.000\\ \text{ Mars }& 1.524& 1.881\\ \text{ Jupiter }& 5.203& 11.862\\ \text{ Saturn }& 9.539& 29.456\\ \text{ Uranus }& 19.191& 84.070\\ \text{ Neptune }& 30.061& 164.810\\ \hline\end{array}$ Calculate and interpret the residual for Neptune.

The current student population of Tucson is 2900. If the population increases at a rate of 14.8% each year. What will the student population be in 7 years?
Write an exponential growth model for the future population P(x) where x is in years:
P(x)=
What will the population be in 7 years? (Round to nearest student)

The product of 2 decimals is 20.062 one of the factors has 2 decimals .how many decimals in other factors.

What is a quadratic equation in standard form with rational coefficients that has a root of 5 + 4i?

Need to calculate:The factorization of $x^3+8x^2-3x-24$.

Need to find and correct error in the function $y=-9.5x^2-47.5x+63$ as shown.
$x=\frac{-b}{2a\times x}=\frac{-47.5}{2(-9.5)\times x}=\frac{-47.5}{-19\times x}=-(-2.5)x=2.5$
$y=-9.5(2.5{)}^2-47.5(2.5)+63y=59.375-118.75+63y=-115.125$