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Algebra II

Using the following table of values for the rational functions f, s, and h. $\begin{matrix} x & -10000 & -1000 & -100 & 100 & 1000 & 10000 \\ f(x) & -10001.9997 & -1001.9970 & -101.9694 & 97.9706 & 997.9970 & 9997.9997 \\ g(x) & -6.0004 & -6.0040 & -6.0404 & -5.9604 & -5.9960 & -5.9996 \\ h(x) & -0.0005 & -0.0050 & -0.0506 & 0.0496 & 0.0050 & 0.0005 \end{matrix}$
Based rule that defines the functions f, g, and h. How does the degree of the numerator compare to the degree of the denominator, (e.g., greater than, less than, or equal to.)?

DofotheroU 2021-05-16

Use the discriminant to determine the number of real solutions of the equation.
$x^{2} = 6 x - 9$

nitraiddQ 2021-05-16

A computer valued at $1500 loses 20% of its value each year. a. Write a function rule that models the value of the computer. b. Find the value of the computer after 3 yr. c. In how many years will the value of the computer be less than $500? Use the exponential function to answer part b.

zi2lalZ 2021-05-16

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.

Tyra 2021-05-16

Solve the equation $\log (x + 3) + \log x = 1$ , inequality, or system of equations.

chillywilly12a 2021-05-16

Replace the Cartesian equation with equivalent polar equations.
$x^{2} + (y - 2)^{2} = 4$

slaggingV 2021-05-16

Solve the following equation. Indicate which of the values you find are allowed to be solutions to the original equation.
$\frac{- 40}{x^{2}} + \frac{13}{x} = 1$

Haven 2021-05-16

Consider the following differential equation.
2y+y-y=0

UkusakazaL 2021-05-14

For each of the following pairs, write a and b in standard form and use these factorizations to find (a, b) and [a, b].
a=52920, b = 25200

Lennie Carroll 2021-05-14

Use two different groupings to factor ac-ad+bd-bc in two ways. Then explain why the two factorizations are the same.

DofotheroU 2021-05-14

Factor the trinomial shown below. Show that your factorization is correct by multiplying the two binomial factors.
$5 x^{2} + 13 x - 6$

Anonym 2021-05-14

Factor each polynomial. If a polynomial cannot be factored, write prime. It is necessary to account for the biggest common factor:
$6 a^{2} - 48 a - 120$

Annette Arroyo 2021-05-14

For the equation (-1,2), $y = \frac{1}{2} x - 3$ , write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equation.

ankarskogC 2021-05-14

Find a recursive rule that models the exponential decay of $y = 32, 000 {(0.95)}^{t}$

chillywilly12a 2021-05-14

Suppose that a population that is growing exponentially increases from 800,000 people in 2007 to 1,000,000 people in 2010. Without showing the details, describe how to obtain the exponential growth function that models the data.

rocedwrp 2021-05-14

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 2800 pounds. If the elevator operator weighs 265 pounds and each cement bag weighs 65 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

Amari Flowers 2021-05-13

What is the complete factorization of $12 x^{6} - 3 x^{2}$ ?

Tobias Ali 2021-05-13

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
$3 x^{2} + 4 x - 7$

ddaeeric 2021-05-13

Complete the factorization
$2 t^{2} (6 t - 1) + 3 (6 t - 1)$

CoormaBak9 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

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