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Algebra II

Determine whether the function is a polynomial function.
$R (x) = 8 x + 6$
polynomial not a polynomial
If it is a polynomial function, identify the leading coefficient, the constant term, and the degree. (If it is not a polynomial function, enter DNE for all three answers.)
(a) leading coefficient
(b) constant term
(c) the degree

Armorikam 2021-08-01

Graph the polynomial by transforming an appropriate graph of the form $y = x^{n}$ .
Show clearly all x- and y-intercepts. $P (x) = 81 - {(x - 3)}^{4}$

ruigE 2021-08-01

For the following exercises, use a graphing utility to create a scatter diagram of the data given in the table. Observe the shape of the scatter diagram to determine whether the data is best described by an exponential, logarithmic, or logistic model. Then use the appropriate regression feature to find an equation that models the data. When necessary, round values to five decimal places.
$\begin{array}{cccccccccc} x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ f (x) & 20 & 21.6 & 29.2 & 36.4 & 46.6 & 55.7 & 72.6 & 87.1 & 107.2 & 138.1 \end{array}$

Jaya Legge 2021-08-01

Write the radical expression using exponents and each exponential expression using radicals.
$\sqrt[3]{7^{2}}$

Harlen Pritchard 2021-08-01

To calculate: Polynomial equation with real coefficients that has roots $0, i \sqrt{3}$ .

Haven 2021-08-01

To calculate: The single radical of the expression $\sqrt{x \sqrt{x \sqrt{x}}}$

Jerold 2021-07-31

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

Daniaal Sanchez 2021-07-31

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. When does population increase the fastest for the Gompertz equation
$P {(t)}^{'} = α \ln (\frac{K}{P (t)}) P (t) ?$

BenoguigoliB 2021-07-31

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. Then graph the function.
$f (x) = {(0.2)}^{x}$

Amari Flowers 2021-07-31

Consider the following sequence:
${8, - 24, 72, - 216, 648}$
It this an geometric sequence?
a) The squence is geometric. The common ratio is: $r = ?$
b) The sequence is arithmetic.
c) The sequence is neither geometric nor arithmetic.

opatovaL 2021-07-31

Evaluate each arithmetic series described.
$\sum_{m = 1}^{40} (3 m - 6)$

Reeves 2021-07-30

To find: The square of a polynomial ${(4 a - 3 b)}^{2}$ using indicated operation.

allhvasstH 2021-07-30

Assume the following sequence is arithmetic: $7, 12, \dots$
a) Create a table for this sequence
$\begin{array}{cc} x \\ y \end{array}$

b) What is the common difference?
What is zero term?
c) Write the equation for $y = ?$

Cheyanne Leigh 2021-07-30

Find the radical form of the expression $25 x^{\frac{1}{2}}$ .

defazajx 2021-07-30

The simplified value of the radical expression $\sqrt[3]{\frac{1}{2}}$

illusiia 2021-07-30

Simplify the expression. Express your answer using rational indicators if the letters represent positive numbers.
$\frac{\sqrt{a^{3} b}}{\sqrt[4]{a^{3} b^{2}}}$

iohanetc 2021-07-30

Simplify the expression. Then express your answer using rational indicators. Let the letters stand for positive numbers.
$\frac{\sqrt{x y}}{\sqrt[4]{16 x y}}$

emancipezN 2021-07-30

Use a graphing calculator to determine the exponential regression equation to model the relationship between the decades since 1950 and the population. a. The calculator returns two values, a and b. Write these values below. Round a to the nearest whole number and b to the nearest thousandth, if necessary. $a = ?, b = ?$ . b. The general form of an exponential function is $y = a b^{x}$ . b. The general form of an exponential function is $y = a b^{x}$ . Use this general form and the values of a and b from Part (a) to write an exponential function that models Nevada's population growth. c. Use a graphing calculator to graph the data points and the function from Part (b). Sketch the graph and the data points below. Is the exponential function a good approximation of the data? Explain.

Braxton Pugh 2021-07-30

Simplify radical expression $3 \sqrt{125} - \sqrt{20} + \sqrt{27}$

sjeikdom0 2021-07-29

Express radical $\sqrt{10} + 2 \sqrt{7} - 2 \sqrt{10}$ in the simplest form

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Algebra II

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