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study help
mathematics
college algebra
College Algebra 12th edition Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - Solutions
Use a graphing calculator to find the solution set of each equation. Approximate the solution(s) to the nearest tenth.5e3x = 75
A person learning certain skills involving repetition tends to learn quickly at first. Then learning tapers off and skill acquisition approaches some upper limit. Suppose the number of symbols per minute that a person using a keyboard can type is given byƒ(t) = 250 - 120(2.8)-0.5t,where t is the
The exponential growth of the deer population in Massachusetts can be approximated using the modelƒ(x) = 50,000(1 + 0.06)x,where 50,000 is the initial deer population and 0.06 is the rate of growth. ƒ(x) is the total population after x years have passed. Find each value to the nearest
World population in millions closely fits the exponential function ƒ(x) = 6084e0.0120x, where x is the number of years since 2000.(a) The world population was about 6853 million in 2010. How closely does the function approximate this value?(b) Use this model to predict world population in 2020 and
The atmospheric pressure (in millibars) at a given altitude (in meters) is shown in the table.(a) Use a graphing calculator to make a scatter diagram of the data for atmospheric pressure P at altitude x.(b) Would a linear or an exponential function fit the data better?(c) The following function
Suppose $10,000 is invested at an annual rate of 2.4% for 10 yr. Find the future value if interest is compounded as follows.(a) Annually (b) Quarterly (c) Monthly (d) Daily (365 days)
A is lending money at 6.4% interest compounded annually. The rate at Bank B is 6.3% compounded monthly, and the rate at Bank C is 6.35% compounded quarterly. At which bank will we pay the least interest?
Solve each problem.Find the required annual interest rate to the nearest tenth of a percent for $5000 to grow to $6200 if interest is compounded quarterly for 8 yr.
Solve each problem.Find the required annual interest rate to the nearest tenth of a percent for $1200 to grow to $1500 if interest is compounded quarterly for 9 yr.
Solve each problem.Find the required annual interest rate to the nearest tenth of a percent for $65,000 to grow to $65,783.91 if interest is compounded monthly for 6 months.
Solve the problem.Find the present value that will grow to $5000 if interest is 3.5% compounded quarterly for 10 yr.
Find the present value that will grow to $45,000 if interest is 3.6% compounded monthly for 1 yr.
Find the present value that will grow to $25,000 if interest is 3.2% compounded quarterly for 11 quarters.
Solve each problem.Future Value Find the future value and interest earned if $56,780 is invested at 2.8% compounded(a) quarterly for 23 quarters (b) continuously for 15 yr.
Solve each problem.Future Value Find the future value and interest earned if $8906.54 is invested for 9 yr at 3% compounded(a) Semiannually (b) Continuously.
Solve the equation. —х3 32 -5
Solve the equation. |(V5)* = x+2
Solve the equation. х 27 -3
Solve the equation. (V2)* r+4 = 4* %3D
Solve the equation. x+1 ex-1
Solve the equation. x+2 () |(V5)*=
Solve the equation. x7/5 = -128
Solve the equation. x5/3 = -243 r5/3
Solve the equation. -4 256
Solve the equation. 64
Solve the equation.x3/2 = 27
Solve the equation.x5/2 = 32
Solve the equation.x2/5 = 16
Solve the equation.x2/3 = 4
Solve the equation.26-3x = 8x+1
Solve the equation.4x-2 = 23x+3
Solve the equation.322x = 16x-1
Solve the equation.274x = 9x+1
Solve the equation.e3-x = (e3)-x
Solve the equation.e4x-1 = (e2)x
Solve the equation.52+2x = 25
Solve the equation.23-2x = 8
Solve the equation. 9. 3 4
Solve the equation. х 4 25
Solve the equation.125x = 5
Solve the equation.4x = 2
Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. y = 5 (-1, 3)A(0, 4) - х (-3, –3).
Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. y (-1, 4) E(1.4) УE1 (0, 2) х
Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. y (-2, 1) Atel (-1,–1)T х (0,-2) ув -3
Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. (-2, 2) A I-_v= 3 (-1, 1)to. (0, –1)
Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. y (1, 7) (-1, 4). F(0, 5) y = 3 х
Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. y (0, 7) (-2, 1) (-3, 0) х - y = -1
Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. y (4, 9) (3, 3) (2, 1) На х bН
Write an equation for the graph given. Each represents an exponential function ƒ with base 2 or 3, translated and/or reflected. y (2, 7) +(1, 1) Н (0,-1) y = -2 х
Graph the function. Give the domain and range. x+3 2 f(x) =
Graph the function. Give the domain and range.
Graph the function. Give the domain and range.
Graph the function. Give the domain and range. x-2 f(x) = + 2
Graph the function. Give the domain and range. f(x) = - —х 3
Graph the function. Give the domain and range. f(x) = 3
Graph the function. Give the domain and range. -х-2 f(x) =
Graph the function. Give the domain and range. (3) -x+1 f(x) =
Graph the function. Give the domain and range. X-4 f(x) = -|3,
Graph the function. Give the domain and range. x+2 f(x) = 3.
Graph the function. Give the domain and range. х f(x) = + 4
Graph the function. Give the domain and range. () - f(x) = 3.
Graph the function. Give the domain and range.ƒ(x) = 2x-3 - 1
Graph the function. Give the domain and range.ƒ(x) = 2x+2 - 4
Graph the function. Give the domain and range.ƒ(x) = 2x+3 + 1
Graph the function. Give the domain and range.ƒ(x) = 2x-1 + 2
Graph the function. Give the domain and range.ƒ(x) = -2x-3
Graph the function. Give the domain and range.ƒ(x) = -2x+2
Graph the function. Give the domain and range.ƒ(x) = 2x-4
Graph the function. Give the domain and range.ƒ(x) = 2x+1
Graph the function. Give the domain and range.ƒ(x) = 2x - 4
Graph the function. Give the domain and range.ƒ(x) = 2x + 1
Graph the function.ƒ(x) = 2-|x|
Graph the function.ƒ(x) = 2|x|
Graph the function.ƒ(x) = 10-x
Graph the function.ƒ(x) = 4-x
Graph the function. f(x) =
Graph the function. f(x) = 10
Graph the function. х f(x) = 3
Graph the function. f(x) =
Graph the function. х f(x) = 4.
Graph the function. х f(x) = 3
Graph the function.ƒ(x) = 4x
Graph the function.ƒ(x) = 3x
For ƒ(x) = 3x and g(x) = [1/4]x, find each of the following. Round answers to the nearest thousandth as needed.g(2.34)
For ƒ(x) = 3x and g(x) = [1/4]x, find each of the following. Round answers to the nearest thousandth as needed.g(-1.68)
Solve the equation. Round answers to the nearest hundredth as needed. x/3 = 36 213
Use the following alphabet coding assignment to work each problem.Encode the message SAILOR BEWARE, using the one-to-one functionƒ(x) = (x + 1)3.Give the inverse function that the decoder will need when the message is received. A
Use the following alphabet coding assignment to work each problem.Encode the message SEND HELP, using the one-to-one functionƒ(x) = x3 - 1.Give the inverse function that the decoder will need when the message is received. A
Use the following alphabet coding assignment to work each problem.The function ƒ(x) = 2x - 9 was used to encode a message as-5 9 5 5 9 27 15 29 -1 21 19 31 -3 27 41.Find the inverse function and determine the message. A
Use the following alphabet coding assignment to work each problem.The function ƒ(x) = 3x - 2 was used to encode a message as37 25 19 61 13 34 22 1 55 1 52 52 25 64 13 10.Find the inverse function and determine the message. A
Use a graphing calculator to graph each function defined as follows, using the given viewing window. Use the graph to decide which functions are one-to-one. If a function is one-to-one, give the equation of its inverse. f(x) = x – 4' x+ 4; [-1,8] by [-6, 6]
Use a graphing calculator to graph each function defined as follows, using the given viewing window. Use the graph to decide which functions are one-to-one. If a function is one-to-one, give the equation of its inverse. f(x) = x + 3 x + -3; [-8, 8] by [-6, 8]
Use a graphing calculator to graph each function defined as follows, using the given viewing window. Use the graph to decide which functions are one-to-one. If a function is one-to-one, give the equation of its inverse.ƒ(x) = x4 - 5x2; [-3, 3] by [-8, 8]
Use a graphing calculator to graph each function defined as follows, using the given viewing window. Use the graph to decide which functions are one-to-one. If a function is one-to-one, give the equation of its inverse.ƒ(x) = 6x3 + 11x2 - 6; [-3, 2] by [-10, 10]
For a one-to-one function ƒ, find (ƒ-1 ° ƒ)(2), where ƒ(2) = 3.
If a line has slope a, what is the slope of its reflection across the line y = x?
Suppose ƒ(r) is the volume (in cubic inches) of a sphere of radius r inches. What does ƒ-1(5) represent?
Suppose ƒ(x) is the number of cars that can be built for x dollars. What does ƒ-1(1000) represent?
The graph of a function ƒ is shown in the figure. Use the graph to find each value.ƒ-1(-4) 4 -4 -2 12 4 -4
The graph of a function ƒ is shown in the figure. Use the graph to find each value.ƒ-1(-3) 4 -4 -2 12 4 -4
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![f(x) = x – 4' x+ 4; [-1,8] by [-6, 6]](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/images/question_images/1550/9/1/4/3885c7113544356e1550896979828.jpg)
![f(x) = x + 3 x + -3; [-8, 8] by [-6, 8]](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/images/question_images/1550/9/1/4/3575c7113356450a1550896948901.jpg)
