Concept explainers
In Exercises 68–72, use a graphing utility to solve each radical equation. Graph each side of the equation in the given viewing rectangle. The equation’s solution set is given by the xcoordinate(s) of the point(s) of intersection. Check by substitution.
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
Additional Math Textbook Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Linear Algebra and Its Applications (5th Edition)
Intermediate Algebra
Prealgebra (7th Edition)
Algebra and Trigonometry: Structure and Method, Book 2
Elementary Algebra: Concepts and Applications (10th Edition)
- 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_forward6. (a). State the Stokes' Theorem. (b). Use the Stokes' Theorem as stated in (a) to evaluate the line integral: F- dř F = xyi+ 2yz j+ xz k where: and C is the boundary of the plane z = 1- y as shown in Figure 1. Assume C is oriented anti-clockwise as viewed from above.arrow_forwardIn Exercises 7–12, describe the relationship between the two quantities.arrow_forward
- In 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_forwardExercises 19–32, find the (a) domain and (b) range.arrow_forwardPlease simplify completely. In #1–4, list the necessary restrictions on the variable; if none, write “none”.arrow_forward
- A city manage must predict the population of the city between the years 2000 and 2050 to make plans for new business expansions and housing developments. To determine the population growth, the city manager will use the formula y = ab x . What do the variables in this formula represent?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_forwardShow all work and solutionsarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage