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mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Only one of the graphs illustrates a one-to-one function. Which one is it? A. 0 x B. 0 X C. y h 0 D. X X
Determine whether each function is one-to-one. If it is, find its inverse. {(-2,4), (-1, 1), (0, 0), (1, 1), (2,4)}
Determine whether common logarithms or natural logarithms would be a better choice to use for solving each equation. Do not actually solve.103x +1 = 13
Evaluate. log12 1
Determine whether each function is one-to-one. If it is, find its inverse. {(-2, -8), (-1, -1), (0, 0), (1, 1), (2,8)}
LetList the elements of S that are members of each set.(a) Integers (b) Rational numbers (c) Irrational numbers ={-1, -2, -√2, 0, 0.6, VII, V-8, 6, 3º0}. 4
Choose the correct response.For an exponential function ƒ(x) = ax, if 0 < a < 1, then the graph (rises / falls) from left to right.
Given that 100 = 1 and 101 = 10, between what two consecutive integers is the value of log 6.3?A. -1 and 0 B. 0 and 1 C. 6 and 7 D. 10 and 11
Determine whether each statement of a logarithmic property is true or false. If it is false, correct it by changing the right side of the equation. bloger = 1
If a function ƒ is one-to-one and the point (p, q) lies on the graph of ƒ, then which point must lie on the graph of ƒ-1? A. (-p, q) B. (-q, -P) C. (p, q) D. (q, p)
Determine whether common logarithms or natural logarithms would be a better choice to use for solving each equation. Do not actually solve.ex -2 = 24
Determine whether each statement of a logarithmic property is true or false. If it is false, correct it by changing the right side of the equation. log, b¹ = r
The asymptote of the graph of ƒ(x) = axA. Is the x-axis B. Is the y-axisC. Has equation x = 1 D. Has equation y = 1.
Given that e1 ≈ 2.718 and e2 ≈ 7.389, between what two consecutive integers is the value of ln 6.3?A. 0 and 1 B. 1 and 2 C. 2 and 3 D. 6 and 7
The graphs of both ƒ(x) = 3x and g(x) = log3 x rise from left to right. Which one rises at a faster rate as x gets large?
Determine whether each function is one-to-one. If it is, find its inverse. f(x) = -3x + 7
Simplify each expression. |-8 + 6 -|-2|(−6+2)
The table shows fat content of various menu items at McDonald’s. If the set of menu items is the domain and the set of fat contents is the range of a function, is it one-to-one? Why or why not? Menu Item Chicken McNuggets (20 pieces) Quarter Pounder with Cheese Big Breakfast with Egg Whites Bacon
Determine whether each statement of a logarithmic property is true or false. If it is false, correct it by changing the right side of the equation. logb x¹ = logb rx x'
Determine whether each function is one-to-one. If it is, find its inverse. f(x) = 6x-4
Determine whether common logarithms or natural logarithms would be a better choice to use for solving each equation. Do not actually solve.e-0.28x = 30
Evaluate. 5log5 36
Without using a calculator, give the value of each expression. In eV₂
Simplify each expression. 2(-5)+(-8)(4) - (-3)
Without using a calculator, give the value of each expression.log 109.6421
Write in logarithmic form.45 = 1024
Without using a calculator, give the value of each expression. 10log V3
Solve each equation. Approximate solutions to three decimal places.7x = 5
The table shows the most-visited social networking web sites, by number of visitors in millions, in June 2017. If the set of web sites is the domain and the set of numbers of visitors is the range of a function, is it one-to-one? Why or why not? Social Networking Web
Evaluate. eln 4
Write in logarithmic form. 2, -3 8 =
Write in logarithmic form.36 = 729
Solve each equation. Approximate solutions to three decimal places.4x = 3
Evaluate. 10log e
Use a calculator to approximate each exponential expression to three decimal places.21.9
Use the special properties of logarithms to evaluate each expression.7log7 9
Solve each equation or inequality. 7- (3+4x) + 2x = −5(x − 1) – 3 -
Determine whether each function is one-to-one. If it is, find its inverse. f(x) = x² + 3
The road mileage between Denver, Colorado, and several selected U.S. cities is shown in the table. If we consider this a function that pairs each city with a distance, is it one-to-one? How could we change the answer to this question by adding 1 mile to one of the distances shown?
The table lists caffeine amounts in several popular 12-oz sodas. If the set of sodas is the domain and the set of caffeine amounts is the range of a function, is it one-to-one? Why or why not? Soda Mountain Dew Diet Coke Sunkist Orange Soda Diet Pepsi-Cola Caffeine (in mg) 54 46 41 34 34 Coca-Cola
The table lists basic minimum wages in several states. If the set of states is the domain and the set of wage amounts is the range of a function, is it one-to-one? Why or why not? Minimum Wage (in dollars) 11.50 11.00 California 10.50 Arizona 10.50 Ohio 8.30 lowa 7.25 Data from U.S. Department of
A student erroneously wrote loga (x + y) = loga x + loga y. When his teacher explained that this was indeed wrong, the student claimed that he had used the distributive property.
Solve each equation or inequality. 2x + 2 ≤ 5x - 1
Consider the following “proof” that log2 16 does not exist.The logarithm of a negative number is not defined, so the final step cannot be evaluated. Thus log2 16 does not exist. log₂ 16 log₂ (-4) (-4) = log₂ (-4) + log₂ (-4)
Determine whether each function is one-to-one. If it is, find the inverse. {(3, 6), (2, 10), (5, 12)}
Solve each equation. Approximate solutions to three decimal places.9-x+2 = 13
Evaluate. log3 3-5
Without using a calculator, give the value of each expression.eln75.2
Use a calculator to approximate each exponential expression to three decimal places.22.7
Each function graphed is one-to-one. Graph its inverse. 4 y 0. H .3.. 다 1 X
Use the special properties of logarithms to evaluate each expression.log3 36
Use the indicated rule of logarithms to complete each equation. log10 (78) (product rule)
Solve each equation or inequality. |2x - 5 =9
Solve each equation. Approximate solutions to three decimal places.6-x+1 = 22
Evaluate. ln e5.4
Solve. log3 (x + 9) = 4
Determine whether each function is one-to-one. If it is, find the inverse. {(-1,3), (-1,3), (0, 5), (5,0), (7, 1. (7₁-1)} 2
Without using a calculator, give the value of each expression.ln e-11.4007
Solve each equation. Give exact solutions. 5 || 1 625
Write in logarithmic form.10-3 = 0.001
Use the indicated rule of logarithms to complete each equation. log10 7 8 || (quotient rule)
Use a calculator to approximate each exponential expression to three decimal places.2-1.54
Each function graphed is one-to-one. Graph its inverse. H #H y 2 0. !.... X
Use the special properties of logarithms to evaluate each expression.log5 1
Solve. log₂ 32 = x
Determine whether each function is one-to-one. If it is, find the inverse. {(-1,3), (2,7), (4,3), (5,8)}
Solve each equation or inequality. |4x + 2 > 10
Solve each equation. Approximate solutions to three decimal places.32x = 14
Without using a calculator, give the value of each expression.10 ln e4
Write in logarithmic form.361/2 = 6
Write in logarithmic form. 625 = 5
Use a calculator to approximate each exponential expression to three decimal places.2-1.88
Use the indicated rule of logarithms to complete each equation. 3log: 4 || (special property)
Solve each equation. Approximate solutions to three decimal places.53x = 11
Write in logarithmic form. 343 = 7
Solve. 1 logx = 2 81
Evaluate each logarithm to four decimal places.log 43
Determine whether each function is one-to-one. If it is, find the inverse. {(-8, 6), (-4, 3), (0, 6), (5, 10)}
The atmospheric pressure (in millibars) at a given altitude x (in meters) is approximated byUse this function to approximate the atmospheric pressure, to the nearest unit, at each altitude.(a) 2000 m (b) 10,000 m f(x) = 1013e-0.0001341.x
Use the indicated rule of logarithms to complete each equation. log10 36 (power rule)
Use a calculator to approximate each exponential expression to three decimal places.100.3
Use a calculator to approximate each exponential expression to three decimal places. -| 2.1
Solve each equation. Give exact solutions.23x-7 = 82x+2
Use a calculator to approximate each exponential expression to three decimal places.53.2
Solve. 27* = 81
Graph. 5x + 2y = 10
Solve each equation. Approximate solutions to three decimal places.2x+3 = 5x
Write in logarithmic form. 8-2/3 1 4
Evaluate each logarithm to four decimal places.log 98
Determine whether each function is one-to-one. If it is, find the inverse. {(0, 4.5), (2, 8.6), (4, 12.7)}
Use a calculator to approximate each exponential expression to three decimal places.100.5
The graph projects that the number of international travelers to the United States will increase from 51.2 million in 2000 to 90.3 million in 2020.(a) Is this the graph of a function?(b) What is the slope of the line in the graph? Interpret the slope in the context of international travelers to the
Use the indicated rule of logarithms to complete each equation. log3 39 || (special property)
Solve. 22x-3 = 8
Graph.-4x + y ≤ 5
Solve each equation. Approximate solutions to three decimal places.6x+3 = 4x
Determine whether each function is one-to-one. If it is, find the inverse. {(1, 5.8), (2, 8.8), (3, 8.5)}
Evaluate each logarithm to four decimal places.log 328.4
Write in logarithmic form. 16-3/4 1 +100 8
Use a calculator to approximate each exponential expression to three decimal places.41/3
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