All Matches

Solution Library

Expert Answer

Textbooks

Search Textbook questions, tutors and Books

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Tutors
Study Help
Hire a Tutor
AI Study Help New

Search
Sign In
Register

study help
mathematics
college algebra

Questions and Answers of College Algebra

Pressure in a Liquid The pressure on a point in a liquid is directly proportional to the distance from the surface to the point. In a certain liquid, the pressure at a depth of 4 m is 60 kg per m2.
Solve each problem.p varies jointly as q and r2, and p = 100 when q = 2 and r = 3. Find p when q = 5 and r = 2.
Solve each problem.If z varies inversely as w, and z = 10 when w = 1/2 , find z when w = 10.
Solve each problem.ƒ varies jointly as g2 and h, and ƒ = 50 when g = 5 and h = 4. Find ƒ when g = 3 and h = 6.
Solve each problem.If x varies directly as y, and x = 12 when y = 4, find x when y = 12.
Solve each problem.If x varies directly as y, and x = 20 when y = 14, find y when x = 50.
Antique-Car Competition Antique-car owners often enter their cars in a concours d’elegance in which a maximum of 100 points can be awarded to a particular car based on its attractiveness. The
After a 2-in. slice is cut off the top of a cube, the resulting solid has a volume of 32 in.3. Find the dimensions of the original cube. х- 2 х х
Use an end behavior diagramto describe the end behavior of the graph of each polynomial function.ƒ(x) = 10x6 - x5 + 2x - 2 or
Use an end behavior diagramto describe the end behavior of the graph of each polynomial function.ƒ(x) = -x3 - 4x2 + 2x - 1 or
Use an end behavior diagramto describe the end behavior of the graph of each polynomial function.ƒ(x) = 5x5 + 2x3 - 3x + 4 or
Determine whether each statement is true or false. If false, explain why.If z = 7 - 6i, then z̅ = -7 + 6i.
Concept Check The rational function has two holes and one vertical asymptote.(a) What are the x-values of the holes?(b) What is the equation of the vertical asymptote? x3 + 7x2 – 25x – 175 f(x):
Connecting Graphs with Equations Find a rational function ƒ having the graph shown. |x= 1 y : =-3
Solve each problem.Concept Check Work each of the following.(a) Sketch the graph of a function that is never negative and has the lines x = -1 and x = 1 as vertical asymptotes, the x-axis as a
Solve each problem.Concept Check Work each of the following.(a) Sketch the graph of a function that does not intersect its horizontal asymptote y = 1, has the line x = 3 as a vertical asymptote, and
Graph each rational function. 4x2 – 9 f(x) = 2х + 3
Graph each rational function. -2 f(x) = x? + 1
Graph each rational function. х? — 1 f(x) : х
Graph each rational function. x2 + 4 х f(x) x + 2 х
Graph each rational function. 2x f(x) : х2 — 1
Graph each rational function. 6х f(x) = х2 +х — 2
Graph each rational function. 4x - 2 f(x) Зх + 1
Graph each rational function. 4 f(x) =
The function ƒ(x) = 1/x is negative at x = -1 and positive at x = 1 but has no zero between -1 and 1. Explain why this does not contradict the intermediate value theorem.
Dimensions of a Box The width of a rectangular box is three times its height, and its length is 11 in. more than its height. Find the dimensions of the box if its volume is 720 in.3. х Зх x+11
Medicare Beneficiary Spending Out-of-pocket spending projections for a typical Medicare beneficiary as a share of his or her income are given in the table. Let x = 0 represent 1990, so x = 8
Graph each polynomial function in the viewing window specified. Then approximate the real zeros to as many decimal places as the calculator will provide.ƒ(x) = x4 - 4x3 - 5x2 + 14x - 15; window:
Graph each polynomial function in the viewing window specified. Then approximate the real zeros to as many decimal places as the calculator will provide.ƒ(x) = x3 - 8x2 + 2x + 5; window: [-10, 10]
For each polynomial function, identify its graph from choices A–F.ƒ(x) = -(x - 2)2(x - 5)2 С. У A. B. y х х х F. D. E. y y y 2 5 х х х 0 2 5
Find a polynomial function ƒ(x) of least degree having only real coefficients and zeros as given. Assume multiplicity 1 unless otherwise stated.1 - √3, 1 + √3, and 1
For each polynomial function, identify its graph from choices A–F.ƒ(x) = -(x - 2)(x - 5) С. У A. B. y х х х F. D. E. y y y 2 5 х х х 0 2 5
For each polynomial function, identify its graph from choices A–F.ƒ(x) = (x - 2)(x - 5) С. У A. B. y х х х F. D. E. y y y 2 5 х х х 0 2 5
For each polynomial function, identify its graph from choices A–F.ƒ(x) = (x - 2)2(x - 5)2 С. У A. B. y х х х F. D. E. y y y 2 5 х х х 0 2 5
For each polynomial function, identify its graph from choices A–F.ƒ(x) = -(x - 2)2(x - 5) С. У A. B. y х х х F. D. E. y y y 2 5 х х х 0 2 5
For each polynomial function, identify its graph from choices A–F.ƒ(x) = (x - 2)2(x - 5) С. У A. B. y х х х F. D. E. y y y 2 5 х х х 0 2 5
Graph each polynomial function.ƒ(x) = -2x4 + 7x3 - 4x2 - 4x
Graph each polynomial function.ƒ(x) = x4 + x3 - 3x2 - 4x - 4
Graph each polynomial function.ƒ(x) = x4 - 3x2 + 2
Graph each polynomial function.ƒ(x) = 2x3 + x2 - x
Graph each polynomial function.ƒ(x) = -2x3 + 7x2 - 2x - 3
Graph each polynomial function.ƒ(x) = (x - 2)2(x + 3)
Repeat Exercise 53 for a polynomial function with dominating term -9x6.Exercise 53If the dominating term of a polynomial function is 10x7, what can we conclude about each of the following features of
If the dominating term of a polynomial function is 10x7, what can we conclude about each of the following features of the graph of the function?(a) Domain (b) Range (c) End
Give an example of a fourth-degree polynomial function having exactly two distinct real zeros, and then sketch its graph.
For each polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor ƒ(x) into linear factors.ƒ(x) = (2x2 - 7x + 3)3 (x - 2 - √5)
Give an example of a cubic polynomial function having exactly one real zero, and then sketch its graph.
For each polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor ƒ(x) into linear factors.ƒ(x) = (x - 2)3(x2 - 7)
For each polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor ƒ(x) into linear factors.ƒ(x) = x3 - 2x2 - 13x - 10
Graph each polynomial function. Factor first if the polynomial is not in factored form.ƒ(x) = x2(x - 2)(x + 3)2
Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the
Graph each polynomial function. Factor first if the polynomial is not in factored form.ƒ(x) = x3 + 5x2 + 2x - 8
Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and ( f ) the
Factor ƒ(x) into linear factors given that k is a zero.ƒ(x) = 2x3 + (3 + 2i)x2 + (1 + 3i)x + i; k = -i
Use an end behavior diagramto describe the end behavior of the graph of each polynomial function.ƒ(x) = 7 + 2x - 5x2 - 10x4 or
Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the
Factor ƒ(x) into linear factors given that k is a zero.ƒ(x) = x3 + (7 - 3i)x2 + (12 - 21i)x - 36i; k = 3i
Use an end behavior diagramto describe the end behavior of the graph of each polynomial function.ƒ(x) = 3 + 2x - 4x2 - 5x10 or
Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the
Factor ƒ(x) into linear factors given that k is a zero.ƒ(x) = 8x3 + 50x2 + 47x - 15; k = -5
Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the
Factor ƒ(x) into linear factors given that k is a zero.ƒ(x) = 6x3 + 25x2 + 3x - 4; k = -4
Use an end behavior diagramto describe the end behavior of the graph of each polynomial function.ƒ(x) = 9x6 - 3x4 + x2 - 2 or
Graph each quadratic function. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the
Factor ƒ(x) into linear factors given that k is a zero.ƒ(x) = 6x3 + 17x2 - 63x + 10; k = -5
Weight on and above Earth The weight w of an object varies inversely as the square of the distance d between the object and the center of Earth. If a man weighs 90 kg on the surface of Earth, how
If y varies directly as the square root of x, and y = 12 when x = 4, find y when x = 100.
Consider the rational function(a) Determine the equation of the oblique asymptote.(b) Determine the x-intercepts.(c) Determine the y-intercept.(d) Determine the equation of the vertical asymptote.(e)
Graph the following on the same coordinate system.(a) y = x2 (b) y = x2 - 2(c) y = x2 + 2(d) How do the graphs in parts (b) and (c) differ from the graph of y = x2?
Graph each rational function. x2 – 1 f(x) х %3D x2 – 9
Graph each rational function. f(x) = 3x - 1 -2
Oil Pressure The pressure of oil in a reservoir tends to drop with time. Engineers found that the change in pressure is modeled by f (t) = 1.06t3 - 24.6t2 + 180t for t (in years) in the interval [0,
Match each function with its graph without actually entering it into a calculator. Then, after completing the exercises, check the answers with a calculator. Use the standard viewing window.ƒ(x) =
Factor ƒ(x) into linear factors given that k is a zero.ƒ(x) = 2x3 - 3x2 - 5x + 6; k = 1
Give the maximum number of turning points of the graph of each function.(a) ƒ(x) = x5 - 9x2 (b) ƒ(x) = 4x3 - 6x2 + 2
Connecting Graphs with Equations Find a cubic polynomial function ƒ having the graph shown. (0, 24) 10 х -3 2
Solve each problem.Find a value of k such that when the polynomial x3 - 3x2 + kx - 4 is divided by x - 2, the remainder is 5.
Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first.5x2 - 14x + 10; x + 2
Use the capabilities of a calculator to find the coordinates of the vertex of the graph. Express coordinates to the nearest hundredth.
Graph each polynomial function.ƒ(x) = -x3 - 4x2 + 11x + 30
Match each function with its graph without actually entering it into a calculator. Then, after completing the exercises, check the answers with a calculator. Use the standard viewing window.ƒ(x) =
Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first.4x2 + 2x + 54; x - 4
Graph each polynomial function.ƒ(x) = 2x2(x - 2)2
Graph each polynomial function.ƒ(x) = x3 - 5x2 + 3x + 9
Use end behavior to determine which one of the following graphs is that of ƒ(x) = -x7 + x - 4. AL PLOATaUTA EHE FAIH A. A PLONT UTA EIC FAIAN B. 10 | 10- 10 10 +-10 -10 -10 D. Oi PLOAT TR EHE FADIAH
Use synthetic division to perform each division.Graph the polynomial functions ƒ(x) = x4 and g(x) = -2(x + 5)4 + 3 on the same axes. How can the graph of g be obtained by a transformation of the
Use synthetic division to perform each division.Consider the polynomial function ƒ(x) = x3 - 5x2 + 2x + 7.(a) Use the intermediate value theorem to show that ƒ has a zero between 1 and 2.(b) Use
Use synthetic division to perform each division.Why can’t the polynomial function ƒ(x) = x4 + 8x2 + 12 have any real zeros?
Use synthetic division to perform each division.Find a fourth degree polynomial function ƒ having only real coefficients, -1, 2, and i as zeros, and ƒ(3) = 80.
Use synthetic division to perform each division.Given that -2 is a zero, find all zeros of ƒ(x) = x3 + 8x2 + 25x + 26.
Use synthetic division to perform each division.Use the factor theorem to determine whether the polynomial x - 3 is a factor of 6x4 - 11x3 - 35x2 + 34x + 24. If it is, what is the other factor? If it
Use synthetic division to perform each division.Use synthetic division to determine ƒ(5) for ƒ(x) = 2x3 - 9x2 + 4x + 8.
Use synthetic division to perform each division. 2x3 – 11x? + 25 х — 5
Use synthetic division to perform each division. 3x3 + 4x2 – 9x + 6 x + 2
A small rocket is fired directly upward, and its height s in feet after t seconds is given by the function s(t) = -16t2 + 88t + 48.(a) Determine the time at which the rocket reaches its maximum
Graph the quadratic function ƒ(x) = -2x2 + 6x - 3. Give the intercepts, vertex, axis, domain, range, and the largest open intervals of the domain over which the function is increasing or decreasing.
The remainder theorem indicates that when a polynomial ƒ(x) is divided by x - k, the remainder is equal to ƒ(k). For ƒ(x) = x3 - 2x2 - x + 2, use the remainder theorem to find each of the
For each polynomial function, use the remainder theorem to find ƒ(k).ƒ(x) = x2 + 4; k = 2i
For each polynomial function, use the remainder theorem to find ƒ(k).ƒ(x) = 2x3 - 3x2 - 5x + 4; k = 2
Use synthetic division to divide ƒ(x) by x - k for the given value of k. Then express ƒ(x) in the form ƒ(x) = (x - k)q(x) + r.ƒ(x) = -5x4 + x3 + 2x2 + 3x + 1; k = 1

Showing 13900 - 14000 of 16375

First
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
Last

Services

Sitemap
Fun
Definitions
Become Tutor
Study Help Categories
Recent Questions
Expert Questions

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Campus Ambassador

Secure Payment

Download Our App

© 2024 SolutionInn. All Rights Reserved