ALEKS 360 ONLINE ACCESS (6 WEEKS) FOR B
5th Edition
ISBN: 9781260962024
Author: Miller
Publisher: MCG
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Chapter 9, Problem 31RE
To determine
To calculate: The solution for the absolute value equation
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For Exercises 33–38, find the exact value of each expression without the use of a calculator. (See Example 5)
For Exercises 73–104, verify that the equation is an identity.
In Exercises 1–6, solve for x.
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- America is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?arrow_forwardIn Exercises 87–88, use the graph of f(x) = |4 – x| to solve each equation or inequality. y flx) = |4 – x| y = 53- y = 1 $ 9 10 87. 14 - x| = 1 88. 14 - x| < 5arrow_forwardThe average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.arrow_forward
- In Exercises 7–12, describe the relationship between the two quantities.arrow_forwardPlease simplify completely. In #1–4, list the necessary restrictions on the variable; if none, write “none”.arrow_forwardSolve the variation problems in Exercises 68–73. 68. A company's profit varies directly as the number of products it sells. The company makes a profit of $1175 on the sale of 25 products. What is the company's profit when it sells 105 products? 69. The distance that a body falls from rest varies directly as the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds? 70. The pitch of a musical tone varies inversely as its wavelength. A tone has a pitch of 660 vibrations per second and a wavelength of 1.6 feet. What is the pitch of a tone that has a wavelength of 2.4 feet? 71. The loudness of a stereo speaker, measured in decibels, varies inversely as the square of your distance from the speaker. When you are 8 feet from the speaker, the loudness is 28 decibels. What is the loudness when you are 4 feet from the speaker? 72. The time required to assemble computers varies directly as the number of computers assembled and inversely as…arrow_forward
- The bar graph shows the percentage of households with an interfaithmarriage in 1988 and 2012. Also shown is the percentage of households in which a person of faith is married to someone with no religion.The formula I =1/4x + 26 models the percentage of U.S. households with an interfaith marriage, I, x years after 1988.The formula N =1/4x + 6 models the percentage of U.S. households in which a person of faith is married to someone with no religion, N, x years after 1988.In which years will more than 33% of U.S. households have an interfaith marriage?arrow_forwardFind X. Please give an detailed explanation!arrow_forwardplease show all the steps of the solution ,,, thank you ,,,arrow_forward
- The bar graph shows the percentage of households with an interfaithmarriage in 1988 and 2012. Also shown is the percentage of households in which a person of faith is married to someone with no religion.The formulaI =1/4x + 26 models the percentage of U.S. households with an interfaithmarriage, I, x years after 1988. The formula N =1/4x + 6 models the percentage of U.S. households in which a person of faith is married to someone with no religion, N, x years after 1988.In which years will more than 14% of U.S. households have a person of faith married to someone with no religion?arrow_forwardThe bar graph shows the percentage of households with an interfaithmarriage in 1988 and 2012. Also shown is the percentage of households in which a person of faith is married to someone with no religion.The formulaI =1/4x + 26 models the percentage of U.S. households with an interfaithmarriage, I, x years after 1988. The formula N =1/4x + 6 models the percentage of U.S. households in which a person of faith is married to someone with no religion, N, x years after 1988.In which years will more than 34% of households have an interfaith marriage and more than 15% have a faith/no religion marriage?arrow_forwardFind all the values of the constants a and b that would make the statement truearrow_forward
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