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Algebra II

The graph of a polynomial function has the following characteristics: a) Its domain and range are the set of all real numbers. b) There are turning points at $x = - 2$ , 0, and 3. a) Draw the graphs of two different polynomial functions that have these three characteristics. b) What additional characteristics would ensure that only one graph could be drawn?

Elleanor Mckenzie 2021-05-22

Determine which equations are linear equations in the variables x, y, and z. If any equation is not linear, explain why not.
$3 \cos x - 4 y + z = \sqrt{3}$

pancha3 2021-05-22

Do all rational functions have vertical asymptotes? Why or why not? If not, give an example of a rational function that does not have a vertical asymptote.

ringearV 2021-05-22

The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits.
$lim_{x \to - \infty} \frac{\sqrt{x^{2} + 1}}{x + 1}$

Khadija Wells 2021-05-22

Describe the key characteristics of the graphs of rational functions of the form $f (x) = \frac{a x + b}{c x + d}$ . Explain how you can determine these characteristics using the equations of the functions. In what ways are the graphs of all the functions in this family alike? In what ways are they different? Use examples in your comparison.

cistG 2021-05-22

Determine whether each equation represents exponential growth or exponential decay. Find the rate of increase or decrease for each model. Graph each equation. $y = 0.2 (3.8)^{x}$

Tabansi 2021-05-22

$(\frac{10^{x} - (10^{- x})}{11} = 12) .$

nagasenaz 2021-05-22

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
$9 m^{2} - 25$

fortdefruitI 2021-05-21

Use the unique factorization theorem to write the following integers in standard factored form.
4116

sjeikdom0 2021-05-21

Find two different sets of parametric equations for the rectangular equation $y = 6 x - 5$

Brittney Lord 2021-05-21

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 5. Roots of multiplicity 2 at $x = m i n u s; 3$ and $x = 2$ and a root of multiplicity 1 at $x = m i n u s; 2$ . y-intercept at (0, 4).

kuCAu 2021-05-21

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator weighs 245 pounds and each cement bag weighs 95 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

e1s2kat26 2021-05-21

Solve the equation. Round your answers to the nearest hundredth. $2^{x} = 100$

Brennan Flores 2021-05-21

Decide whether $Z [\sqrt{- 5}]$ unique factorization domain or not (ring theory)

geduiwelh 2021-05-21

Factor: $x^{2} - 8 x y + 12 y^{2}$

Dolly Robinson 2021-05-20

Find all rational zeros of the polynomial, and write the polynomial in factored form.
$P (x) = 3 x^{5} - 14 x^{4} - 14 x^{3} + 36 x^{2} + 43 x + 10$

postillan4 2021-05-19

Show that $x + y$ is a factor of $x^{2 n - 1} + y^{2 n - 1}$ for all natural numbers n.

Lewis Harvey 2021-05-19

Solve the following quadratic equations by factorization method
$\frac{x + 3}{x - 2} - \frac{1 - x}{x} = \frac{17}{4}$

Josalynn 2021-05-19

The method of undetermined coefficients can sometimes be used to solve first-order ordinary differential equations. Use the method to solve the following equations.
$y^{'} - 3 y = 5 e^{3 x}$

vestirme4 2021-05-19

In converting $r = 5$ from a polar equation to a rectangular equation, describe what should be done to both sides of the equation and why this should be done.

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