Answer: In Exercises 1015, simplify each expression. Assume that each variable can

In Exercises 15, find the indicated root, or state that the expression is not a real number.281

In Exercises 15, find the indicated root, or state that the expression is not a real number.- A 1 100

In Exercises 15, find the indicated root, or state that the expression is not a real number.23 -27

In Exercises 15, find the indicated root, or state that the expression is not a real number.24 -16

In Exercises 15, find the indicated root, or state that the expression is not a real number.25 -32

In Exercises 67, find the indicated function values for each function. If necessary, round to two decimal places. If the function value is not a real number and does not exist, so state.f(x) = 22x - 5; f(15), f(4), f a 5 2 b, f(1)

In Exercises 67, find the indicated function values for each function. If necessary, round to two decimal places. If the function value is not a real number and does not exist, so state.g(x) = 23 4x - 8; g(4), g(0), g(-14)

In Exercises 89, find the domain of each square root function.f(x) = 2x - 2

In Exercises 89, find the domain of each square root function.g(x) = 2100 - 4x

In Exercises 1015, simplify each expression. Assume that each variable can represent any real number, so include absolute value bars where necessary.225x2

In Exercises 1015, simplify each expression. Assume that each variable can represent any real number, so include absolute value bars where necessary.2(x + 14) 2

In Exercises 1015, simplify each expression. Assume that each variable can represent any real number, so include absolute value bars where necessary.2x2 - 8x + 16

In Exercises 1015, simplify each expression. Assume that each variable can represent any real number, so include absolute value bars where necessary.23 64x3

In Exercises 1015, simplify each expression. Assume that each variable can represent any real number, so include absolute value bars where necessary.4 16x4

In Exercises 1015, simplify each expression. Assume that each variable can represent any real number, so include absolute value bars where necessary.25 -32(x + 7) 5

In Exercises 1618, use radical notation to rewrite each expression. Simplify, if possible.(5xy) 1 3

In Exercises 1618, use radical notation to rewrite each expression. Simplify, if possible.16 3 2

In Exercises 1618, use radical notation to rewrite each expression. Simplify, if possible.32 4 5

In Exercises 1920, rewrite each expression with rational exponents.27x

In Exercises 1920, rewrite each expression with rational exponents.1 23 19xy25

In Exercises 2122, rewrite each expression with a positive rational exponent. Simplify, if possible.8-2 3

In Exercises 2122, rewrite each expression with a positive rational exponent. Simplify, if possible.3x(ab)-4 5

In Exercises 2326, use properties of rational exponents to simplify each expression.x 1 3 # x 1 4

In Exercises 2326, use properties of rational exponents to simplify each expression.5 1 2 5 1 3

In Exercises 2326, use properties of rational exponents to simplify each expression.(8x6y3 ) 1 3

In Exercises 2326, use properties of rational exponents to simplify each expression.1x - 2 3y 1 4 2 1 2

In Exercises 2731, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation.23 x9y12

In Exercises 2731, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation.29 x3y9

In Exercises 2731, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation.1x # 23 x

In Exercises 2731, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation.23 x2 24 x2

In Exercises 2731, use rational exponents to simplify each expression. If rational exponents appear after simplifying, write the answer in radical notation.25 1 3 x

The function f(x) = 350x 2 3 models the expenditures, f(x), in millions of dollars, for the U.S. National Park Service x years after 1985. According to this model, what were expenditures in 2012?

In Exercises 3335, use the product rule to multiply.23x # 27y

In Exercises 3335, use the product rule to multiply.25 7x2 # 25 11x

In Exercises 3335, use the product rule to multiply.26 x - 5 # 26 (x - 5) 4

If f(x) = 27x2 - 14x + 7, express the function, f, in simplified form. Assume that x can be any real number.

In Exercises 3739, simplify by factoring. Assume that all variables in a radicand represent positive real numbers.220x3

In Exercises 3739, simplify by factoring. Assume that all variables in a radicand represent positive real numbers.23 54x8y6

In Exercises 3739, simplify by factoring. Assume that all variables in a radicand represent positive real numbers.24 32x3y11z5

In Exercises 4043, multiply and simplify, if possible. Assume that all variables in a radicand represent positive real numbers.26x3 # 24x2

In Exercises 4043, multiply and simplify, if possible. Assume that all variables in a radicand represent positive real numbers.23 4x2y # 23 4xy4

In Exercises 4043, multiply and simplify, if possible. Assume that all variables in a radicand represent positive real numbers.25 2x4y3z4 # 25 8xy6z7

In Exercises 4043, multiply and simplify, if possible. Assume that all variables in a radicand represent positive real numbers.2x + 1 # 2x - 1

Assume that all variables represent positive real numbers. In Exercises 4447, add or subtract as indicated.623 3 + 223 3

Assume that all variables represent positive real numbers. In Exercises 4447, add or subtract as indicated.5218 - 328

Assume that all variables represent positive real numbers. In Exercises 4447, add or subtract as indicated.23 27x4 + 23 xy6

Assume that all variables represent positive real numbers. In Exercises 4447, add or subtract as indicated.223 6 - 523 48

In Exercises 4850, simplify using the quotient rule.A 3 16 125

In Exercises 4850, simplify using the quotient rule.B x3 100y4

In Exercises 4850, simplify using the quotient rule.B 4 3y5 16x20

In Exercises 5154, divide and, if possible, simplify.248 22

In Exercises 5154, divide and, if possible, simplify.23 32 23 2

In Exercises 5154, divide and, if possible, simplify.24 64x7 24 2x2

In Exercises 5154, divide and, if possible, simplify.2200x3y2 22x -2y

In Exercises 5562, multiply as indicated. If possible, simplify any radical expressions that appear in the product.231226 + 42152

In Exercises 5562, multiply as indicated. If possible, simplify any radical expressions that appear in the product.23 51 23 50 - 23 22

In Exercises 5562, multiply as indicated. If possible, simplify any radical expressions that appear in the product.1 27 - 32521 27 + 6252

In Exercises 5562, multiply as indicated. If possible, simplify any radical expressions that appear in the product. 1x - 21121 1y - 2112

In Exercises 5562, multiply as indicated. If possible, simplify any radical expressions that appear in the product. 25 + 2822

In Exercises 5562, multiply as indicated. If possible, simplify any radical expressions that appear in the product.1223 - 21022

In Exercises 5562, multiply as indicated. If possible, simplify any radical expressions that appear in the product. 27 + 21321 27 - 2132

In Exercises 5562, multiply as indicated. If possible, simplify any radical expressions that appear in the product.17 - 325217 + 3252

In Exercises 6375, rationalize each denominator. Simplify, if possible.4 26

In Exercises 6375, rationalize each denominator. Simplify, if possible.A 2 7

In Exercises 6375, rationalize each denominator. Simplify, if possible.12 23 9

In Exercises 6375, rationalize each denominator. Simplify, if possible.A 2x 5y

In Exercises 6375, rationalize each denominator. Simplify, if possible.14 23 2x2

In Exercises 6375, rationalize each denominator. Simplify, if possible.A 4 7 3x

In Exercises 6375, rationalize each denominator. Simplify, if possible.5 25 32x4y

In Exercises 6375, rationalize each denominator. Simplify, if possible.6 23 - 1

In Exercises 6375, rationalize each denominator. Simplify, if possible.27 25 + 23

In Exercises 6375, rationalize each denominator. Simplify, if possible.10 225 - 322

In Exercises 6375, rationalize each denominator. Simplify, if possible.1x + 5 1x - 3

In Exercises 6375, rationalize each denominator. Simplify, if possible.27 + 23 27 - 23

In Exercises 6375, rationalize each denominator. Simplify, if possible.223 + 26 226 + 23

In Exercises 7679, rationalize each numerator. Simplify, if possible.A 2 7

In Exercises 7679, rationalize each numerator. Simplify, if possible.23 3x 23 y

In Exercises 7679, rationalize each numerator. Simplify, if possible.27 25 + 23

In Exercises 7679, rationalize each numerator. Simplify, if possible.27 + 23 27 - 23

In Exercises 8084, solve each radical equation.22x + 4 = 6

In Exercises 8084, solve each radical equation.2x - 5 + 9 = 4

In Exercises 8084, solve each radical equation.22x - 3 + x = 3

In Exercises 8084, solve each radical equation.2x - 4 + 2x + 1 = 5

In Exercises 8084, solve each radical equation.(x2 + 6x) 1 3 + 2 = 0

According to the Centers for Disease Control and Prevention, the average American adult is 23 pounds overweight and collectively we are 4.6 billion pounds overweight. The graph shows the percentage of obese American adults for selected years from 1980 through 2010. 35% 25% 20% 30% 15% 10% 5% Percentage of Obese Adults in the United States Year 1980 15% 1994 23% 2000 31% 2004 32% 2010 34% 0 Percentage of Obese Adults Source: Centers for Disease Control and Prevention The function f(x) = 3.52x + 15 models the percentage of obese American adults, f(x), x years after 1980. a. Find and interpret f1302. Round to the nearest percent. How does this rounded value compare with the percentage of obese adults displayed by the graph?b. According to the model, in which year will 36% of adults be obese?

Out of a group of 50,000 births, the number of people, f(x), surviving to age x is modeled by the function f(x) = 50002100 - x. To what age will 20,000 people in the group survive?

In Exercises 8789, express each number in terms of i and simplify, if possible.2-81

In Exercises 8789, express each number in terms of i and simplify, if possible.2-63

In Exercises 8789, express each number in terms of i and simplify, if possible.- 2-8

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.(7 + 12i) + (5 - 10i)

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.(8 - 3i) - (17 - 7i)

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.4i(3i - 2)

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.(7 - 5i)(2 + 3i)

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.. (3 - 4i) 2

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.(7 + 8i)(7 - 8i)

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.2-8 # 2-3

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.6 5 + i

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.3 + 4i 4 - 2i

In Exercises 9099, perform the indicated operation. Write the result in the form a + bi.5 + i 3i

In Exercises 100101, simplify each expression. 100. i 16 101. i