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Algebra II

Is the answer to this system of equations (3, 8)?
$y = 7 x + 8$
$y = x + 1$
-True
-False

Cheyanne Leigh 2021-02-13

The initial value of a building is $986,260. After one year, the value of the building is $936,947. What exponential function models the expected value of the building? Estimate the value of the building after 3 years.

Maiclubk 2021-02-13

A sport utility vehicle that costs $23,300 new has a book value of $12500 after 2 years.
Linear model: $V = - 5400 t + 23300$
Exponential model: $V = 23, 300 e^{- 0.311 t}$
Find the book values of the vehicle after year and after 3 years using each model.

illusiia 2021-02-13

Let V denote rainfall volume and W denote runoff volume (both in mm). According to the article “Runoff Quality Analysis of Urban Catchments with Analytical Probability Models” (J. of Water Resource Planning and Management, 2006: 4–14), the runoff volume will be 0 if $[V \leq v_{d}]$ and will $[k (V - v_{d}) if V > v_{d} . H e r e v_{d}]$ is the volume of depression storage (a constant) and k (also a constant) is the runoff coefficient. The cited article proposes an exponential distribution with parameter $[λ f or V .]$
a. Obtain an expression for the cdf of W.
[Note: W is neither purely continuous nor purely discrete, instead it has a “mixed” distribution with a discrete component at 0 and is continuous for values $w > 0$ .]
b. What is the pdf of W for $w > 0$ ? Use this to obtain an expression for the expected value of runoff volume.

tabita57i 2021-02-13

solve the given system of differential equations.
$\frac{{d x}_{1}}{d t} = 2 x_{1} - 3 x_{2}$
$\frac{{d x}_{2}}{d t} = x_{1} - 2 x_{2}$

Anish Buchanan 2021-02-12

A famous NBA player appears at a local hot spot an average once every month. What is the probability that he will make an appearce at this same local that hot spot more than 2 times in a three month span?

Lewis Harvey 2021-02-12

The burial cloth of an Egyptian mummy is estimated to contain 560 g of the radioactive materialcarbon-14, which has a half life of 5730 years.
a. Complete the table below. Make sure you justify your answer by showing all the steps.
$\begin{array}{lll} t (in years) & m (amoun of radioactive material) \\ 0 \\ 5730 \\ 11460 \\ 17190 \end{array}$
b. Find an exponential function that models the amount of carbon-14 in the cloth, y, after t years. Make sure you justify your answer by showing all the steps.
c. If the burial cloth is estimated to contain 49.5% of the original amount of carbon-14, how long ago was the mummy buried. Give exact answer. Make sure you justify your answer by showing all the steps.

lwfrgin 2021-02-12

Given $f (x) = 3 x + 4 and g (x) = \sqrt{x}$ , calculate g(f)

Emeli Hagan 2021-02-12

Find the parent function (f) of
$h (x) = | x + 3 | - 5$

Chardonnay Felix 2021-02-12

What are the Limits at Infinity of Rational Functions?

kuCAu 2021-02-12

Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.
$\frac{\sqrt[3]{8 x^{2}}}{\sqrt{x}}$

Globokim8 2021-02-12

$3 \log_{8} (512^{x^{2}}) = 36$
Find x

Annette Arroyo 2021-02-12

Perform the indicated divisions of polynomials by monomials.
$\frac{- 16 x^{4} + 32 a^{3} - 56 a^{2}}{- 8 a}$

Phoebe 2021-02-12

Need to find:under what circumstances can synthetic division are used to divide polynomial.

Jason Farmer 2021-02-11

Write an equation in standard form $A x = B y = C$ of the line that satisfies the given conditions. Use integer values for A, B, and C. passes through (2, 8) and (-4, 16)

slaggingV 2021-02-11

Determine the algebraic modeling which of the following data sets are linear and which are exponential. For the linear sets, determine the slope. For the exponential sets, determine the growth factor or the decay factor
a) $\begin{array}{cc} x & - 2 & - 1 & 0 & 1 & 2 & 3 & 4 \\ y & \frac{1}{9} & \frac{1}{3} & 1 & 3 & 9 & 27 & 81 \end{array}$

b) $\begin{array}{cc} x & - 2 & - 1 & 0 & 1 & 2 & 3 & 4 \\ y & 2 & 2.6 & 3.2 & 3.8 & 4.4 & 5.0 & 5.6 \end{array}$

c) $\begin{array}{cc} x & - 2 & - 1 & 0 & 1 & 2 & 3 & 4 \\ y & 3.00 & 5.0 & 7 & 9 & 11 & 13 & 15 \end{array}$

d) $\begin{array}{cc} x & - 2 & - 1 & 0 & 1 & 2 & 3 & 4 \\ y & 5.25 & 2.1 & 0.84 & 0.336 & 0.1344 & 0.5376 & 0.021504 \end{array}$

Cheyanne Leigh 2021-02-11

The stature of men is normally distributed, with a mean of 69.0 inches and a standard deviation of 2.8 inches. The height of women is normally distributed, with a mean of 63.6 inches and a standard deviation of 2.5 inches. Modeling academy standards require women to be models taller than 66 inches (or 5 feet 6 inches). What percentage of women meet this requirement?

lwfrgin 2021-02-11

How the division algorithm can be used to check the result of the polynomial division.

sibuzwaW 2021-02-11

Give a polynomial division that has a quotient of x+5 and a remainder of -2

Reggie 2021-02-11

Construct a rational function that has a vertical asymptote at $x = 3$ and a removable discontinuity at $x = - 2$ .
Explain how you determined your answer.

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