New Semester Started Get 50% OFF Study Help! --h --m --s Claim Now

Question Answers

Textbooks

Find textbooks, questions and answers

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Study Help
Tutors
AI Study Planner NEW
Sell Books

Search
Sign In
Register

study help
mathematics
precalculus

Precalculus 9th edition Michael Sullivan - Solutions

Find the point on the line y = x + 1 that is closest to the point (4, 1).
Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p dollars, the revenue R (in dollars) isR(p) = - 4p2 + 4000pWhat unit price should be established for the dryer to maximize revenue? What is the maximum revenue?
The John Deere company has found that the revenue, in dollars, from sales of riding mowers is a function of the unit price p, in dollars, that it charges. If the revenue R iswhat unit price p should be charged to maximize revenue? What is the maximum revenue? R(p) + 1900p
The marginal cost C (in dollars) of manufacturing x cell phones (in thousands) is given byC(x) = 5x2 + 200x + 4000(a) How many cell phones should be manufactured to minimize the marginal cost?(b) What is the minimum marginal cost?Data from problem 77The marginal cost of a product can be thought of
The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x – 0.2x2.The monthly cost C of selling x wristwatches is C(x) = 32x + 1750.(a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue?(b) Profit is given as P(x) = R(x) – C(x).
Business The daily revenue R achieved by selling x boxes of candy is figured to be R(x) = 9.5x - 0.04x2. The daily cost C of selling x boxes of candy is C(x) = 1.25x + 250.(a) How many boxes of candy must the firm sell to maximize revenue? What is the maximum revenue?(b) Profit is given as P(x) =
Stopping Distance An accepted relationship between stopping distance, d (in feet), and the speed of a car, υ (in mph), is d = 1.1v + 0.06υ2 on dry, level concrete.(a) How many feet will it take a car traveling 45 mph to stop on dry, level concrete?(b) If an accident occurs 200 feet ahead of you,
In the United States, the birthrate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function B(a) = -0.27a2 + 14.23a - 120.16.(a) What is the age of unmarried women with the highest birthrate?(b) What is the highest birthrate of unmarried women?(c)
Find a quadratic function whose x-intercepts are -4 and 2 and whose range is [-18, ∞).
Find a quadratic function whose x-intercepts are -1 and 5 and whose range is [∞, 9).
Let f(x) = ax2 + bx + c, where a, b, and c are odd integers. If x is an integer, show that f(x) must be an odd integer.x is either an even integer or an odd integer.
On one set of coordinate axes, graph the family of parabolas f(x) = x2 + 2x + c for c = -3, c = 0, and c = 1. Describe the characteristics of a member of this family.
State the circumstances that cause the graph of a quadratic function f(x) = ax2 + bx + c to have no x-intercepts.
Why does the graph of a quadratic function open up if a> 0 and down if a < 0?
Can a quadratic function have a range of (-∞,∞)? Justify your answer.
What are the possibilities for the number of times the graphs of two different quadratic functions intersect?
A shot-putter throws a ball at an inclination of 45° to the horizontal. The following data represent the height of the ball h at the instant that it has traveled x feet horizontally.Distance, x ………………………. Height, h20 …………………………………..……. 2540
An individual€™s income varies with his or her age. The following table shows the median income I of males of different age groups within the United States for 2006. For each age group, let the class midpoint represent the independent variable, x. For the class €œ65 years and
Use the result obtained in Problem 20 to find the area enclosed by f(x) = -x2 + x + 4, the x-axis, and the lines x= -1 and x = 1.
Use the result obtained in Problem 20 to find the area enclosed by f(x) = x2 + 3x + 5, the x-axis, and the lines x= -4 and x = 4.
A track and field playing area is in the shape of a rectangle with semicircles at each end. See the figure. The inside perimeter of the track is to be 1500 meters.What should the dimensions of the rectangle be so that the area of the rectangle is a maximum?
A Norman window has the shape of a rectangle surmounted by a semicircle of diameter equal to the width of the rectangle. See the figure. If the perimeter of the window is 20 feet, what dimensions will admit the most light (maximize the area)?Circumference of a circle = 2Ï€r; area of a
In problem,(a) Draw a scatter diagram.(b) Select two points from the scatter diagram and find the equation of the line containing the points selected.(c) Graph the line found in part (b) on the scatter diagram.(d) Use a graphing utility to find the line of best fit.(e) Use a graphing utility to
In problem, a linear function is given.(a) Determine the slope and y-intercept of each function.(b) Use the slope and y-intercept to graph the linear function.(c) Determine the average rate of change of each function.(d) Determine whether the linear function is increasing, decreasing, or
A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90°. See the illustration.(a) What depth will provide maximum cross-sectional area and hence allow the most water to flow?(b) What depths will allow at least 16 square inches of water to flow? х
In problem,(a) Draw a scatter diagram.(b) Select two points from the scatter diagram and find the equation of the line containing the points selected.(c) Graph the line found in part (b) on the scatter diagram.(d) Use a graphing utility to find the line of best fit.(e) Use a graphing utility to
In problem, a linear function is given.(a) Determine the slope and y-intercept of each function.(b) Use the slope and y-intercept to graph the linear function.(c) Determine the average rate of change of each function.(d) Determine whether the linear function is increasing, decreasing, or
A parabolic arch has a span of 120 feet and a maximum height of 25 feet. Choose suitable rectangular coordinate axes and find the equation of the parabola. Then calculate the height of the arch at points 10 feet, 20 feet, and 40 feet from the center.
In problem,(a) Draw a scatter diagram.(b) Select two points from the scatter diagram and find the equation of the line containing the points selected.(c) Graph the line found in part (b) on the scatter diagram.(d) Use a graphing utility to find the line of best fit.(e) Use a graphing utility to
In problem, a linear function is given.(a) Determine the slope and y-intercept of each function.(b) Use the slope and y-intercept to graph the linear function.(c) Determine the average rate of change of each function.(d) Determine whether the linear function is increasing, decreasing, or
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 75 meters above the road surface and are 400 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the
In problem, a linear function is given.(a) Determine the slope and y-intercept of each function.(b) Use the slope and y-intercept to graph the linear function.(c) Determine the average rate of change of each function.(d) Determine whether the linear function is increasing, decreasing, or
A projectile is fired at an inclination of 45° to the horizontal, with a muzzle velocity of 100 feet per second. The height h of the projectile is modeled bywhere x is the horizontal distance of the projectile from the firing point.(a) At what horizontal distance from the firing point is the
True or FalseThe average rate of change of f(x) = 2x + 8 is 8.
A projectile is fired from a cliff 200 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 50 feet per second. The height h of the projectile above the water is modeled bywhere x is the horizontal distance of the projectile from the face of the cliff.(a)
A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?
True or FalseThe slope of a nonvertical line is the average rate of change of the linear function.
A farmer with 4000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? (See the figure.) 4000 – 2x aealiakaker
If the slope m of the graph of a linear function is _________ , the function is increasing over its domain.
Beth has 3000 feet of fencing available to enclose a rectangular field.(a) Express the area A of the rectangle as a function of x, where x is the length of the rectangle.(b) For what value of x is the area largest?(c) What is the maximum area?
For the graph of the linear function H(z) = -4z + 3, the slope is _____ and the y-intercept is ______.
David has 400 yards of fencing and wishes to enclose a rectangular area.(a) Express the area A of the rectangle as a function of the width w of the rectangle.(b) For what value of w is the area largest?(c) What is the maximum area?
For the graph of the linear function f(x) = mx + b, m is the _______ and b is the _____.
The price p (in dollars) and the quantity x sold of a certain product obey the demand equationx = -20p + 500 0 < p ≤ 25(a) Express the revenue R as a function of x.(b) What is the revenue if 20 units are sold?(c) What quantity x maximizes revenue? What is the maximum revenue?(d) What
True or FalseThe graph of the function f(x) = x2 is increasing on the interval (0, ∞).
The price p (in dollars) and the quantity x sold of a certain product obey the demand equationx = -5p + 100 0 ≤ p ≤ 20(a) Express the revenue R as a function of x.(b) What is the revenue if 15 units are sold?(c) What quantity x maximizes revenue? What is the maximum revenue?(d) What price
If f(x) = x2 - 4, find f(-2).
The price p (in dollars) and the quantity x sold of a certain product obey the demand equationP = -1/3 x + 100(a) Find a model that expresses the revenue R as a function of x.(b) What is the domain of R?(c) What is the revenue if 100 units are sold?(d) What quantity x maximizes revenue? What is the
The price p (in dollars) and the quantity x sold of a certain product obey the demand equationP = 1/6 x + 100(a) Find a model that expresses the revenue R as a function of x. (Remember, R = xp.)(b) What is the domain of R?(c) What is the revenue if 200 units are sold?(d) What quantity x maximizes
Find the average rate of change of f (x) = 3x2 - 2, from 2 to 4.
Use a graphing utility to find the line of best fit for the following data: 5 5 3 6. 6 х 12 15 y 10 13 16 19
Find the slope of the line joining the points (2, 5) and (-1, 3).
In problem, write the function whose graph is the graph of y = x3, but is:Horizontally stretched by a factor of 4
In problem:(a) Find the domain of each function.(b) Locate any intercepts.(c) Graph each function.(d) Based on the graph, find the range.(e) Is f continuous on its domain? f(x) = = x + 3 -2x - 3 if x < -2 if x = -2
In problem:(a) Find the domain of each function.(b) Locate any intercepts.(c) Graph each function.(d) Based on the graph, find the range.(e) Is f continuous on its domain? f(x) = x + 3 5 -x + 2 if -2 x 1
Use the result obtained in Problem 20 to find the area enclosed by f(x) = 2x2 + 8, the x-axis, and the lines x= -2 and x = 2.
Use the result obtained in Problem 20 to find the area enclosed by f(x) = -5x2 + 8, the x-axis, and the lines x= -1 and x = 1.
Calculus: Simpson's Rule The figure shows the graph of y = ax2+ bx + c. Suppose that the points (-h, y0), (0, y1), and (h, y2) are on the graph. It can be shown that the area enclosed by the parabola, the x-axis, and the lines x = -h and x = h isShow that this area may also be given by (2ah? + 6c)
A self-catalytic chemical reaction results in the formation of a compound that causes the formation ratio to increase. If the reaction rate V is modeled byV(x) = kx(a - x), 0 ≤ x ≤ 1where k is a positive constant, a is the initial amount of the compound, and x is the variable amount of the
A special window has the shape of a rectangle surmounted by an equilateral triangle. See the figure. If the perimeter of the window is 16 feet, what dimensions will admit the most light?Area of an equilateral triangle = (ˆš3/4)x2, where x is the length of a side of the triangle X- X-
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, use the given functions f and g.(a) Solve f(x) = 0.(b) Solve g(x) = 0.(c) Solve f(x) = g(x).(d) Solve f(x) > 0.(e) Solve g(x) ≤ 0.(f) Solve f(x) > g(x).(g) Solve f(x) ≥ 1.f(x) = x2 - 4g(x) = -x2 + 4
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, use the given functions f and g.(a) Solve f(x) = 0.(b) Solve g(x) = 0.(c) Solve f(x) = g(x).(d) Solve f(x) > 0.(e) Solve g(x) ≤ 0.(f) Solve f(x) > g(x).(g) Solve f(x) ≥ 1.f(x) = -x2 + 4 g(x) = -x - 2
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, use the given functions f and g.(a) Solve f(x) = 0.(b) Solve g(x) = 0.(c) Solve f(x) = g(x).(d) Solve f(x) > 0.(e) Solve g(x) ≤ 0.(f) Solve f(x) > g(x).(g) Solve f(x) ≥ 1.f(x) = -x2 + 1g(x) = 4x + 1
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, use the given functions f and g.(a) Solve f(x) = 0.(b) Solve g(x) = 0.(c) Solve f(x) = g(x).(d) Solve f(x) > 0.(e) Solve g(x) ≤ 0.(f) Solve f(x) > g(x).(g) Solve f(x) ≥ 1.f(x) = -x2 + 3g(x) = -3x + 3
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, use the given functions f and g.(a) Solve f(x) = 0.(b) Solve g(x) = 0.(c) Solve f(x) = g(x).(d) Solve f(x) > 0.(e) Solve g(x) ≤ 0.(f) Solve f(x) > g(x).(g) Solve f(x) ≥ 1.f(x) = x2 - 1g(x) = 3x + 3
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
What is the domain of the function f(x) = √x - 3x2?
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
What is the domain of the function f(x) = √x2 - 16?
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = 2/3 x2 + 4/3x - 1
In problem, solve each inequality.2(2x2 - 3x) > -9
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = 1/2x2 + x – 1
In problem, solve each inequality.6(x2 - 1) > 5x
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = -2x2 + 6x + 2
In problem, solve each inequality.25x2 + 16 < 40x
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = -x2 - 2x
In problem, solve each inequality.4x2 + 9 < 6x
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = 3x2 + 6x
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, solve each inequality.x2 + 2x + 4 > 0
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = 2x2 - 4x + 1
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, solve each inequality.x2 - x + 1 ≤ 0
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = x2 - 6x – 1
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = x2 + 4x + 2
In problem, solve each inequality.6x2 < 6 + 5x
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = (x - 3)2 - 10
In problem, solve each inequality.2x2 < 5x + 3
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem, graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).If necessary, write f in the form f(x) = a(x – h)2 + k.]f(x) = (x + 2)2 – 2
In problem, solve each inequality.x2 + 7x < -12
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is
In problem,(a) Graph each quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and x-intercepts, if any.(b) Determine the domain and the range of the function.(c) Determine where the function is increasing and where it is

Showing 28400 - 28500 of 29454

First
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
Last

Step by Step Answers

Services

Sitemap
Fun
Definitions
Become Tutor
Used Textbooks
Study Help Categories
Recent Questions
Expert Questions
Campus Wear
Sell Your Books

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship
Online Quiz
Give Feedback, Get Rewards

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Student Discount
Campus Ambassador

Secure Payment

Download Our App

© 2026 SolutionInn. All Rights Reserved