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Problem 16
Solve each problem. (Modeling) Online Retail SalesProjected retail e-commerce sales (in billions of dollars) for the years 2016–2022 can be modeled by the equation y=52.304x+396.80, where x=0 corresponds to 2016, x=1 corresponds to 2017, and so on. Based on this model, find projected retail e-commerce sales in 2022 to the nearest tenth of a billion. (Data from www.statista.com)
Problem 16
Solve each equation. |3/ 2x - 1 | = 4
Problem 16
Determine the values of the variable that cannot possibly be solutions of each equation. Do not solve. See Examples 1 and 2. 5/(2x) - 2/x = 6
- Solve each equation using the zero-factor property. See Example 1. 2x^2 - x = 15
Problem 16
- Answer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. The sum of the squares of two consecutive even integers is 52. Find the integers.
Problem 16
- Solve each equation. 3x+5 - 5(x+1)= 6x+7
Problem 17
- Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 3(x+5)+1≥5+3x
Problem 17
Problem 17
Solve each equation. | 6x + 1/ x - 1 | = 3
Problem 17
Solve each equation. See Example 1. (2x+5)/2 - 3x/(x-2) = x
- Answer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. The difference of the squares of two positive consecutive even integers is 84. Find the integers.
Problem 17
Problem 18
Solve each equation. See Example 1. (4x+3)/4 - 2x/(x+1) = x
- Solve each equation using the zero-factor property. See Example 1. -6x^2 + 7x = -10
Problem 18
- Answer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. The difference of the squares of two positive consecutive odd integers is 32. Find the integers.
Problem 18
Problem 18a
Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √24
Problem 19
Perform each operation. Write answers in standard form. (6-i) + (7-2i)
- Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 8x-3x+2<2(x+7)
Problem 19
Problem 19
Solve each equation. See Example 1. x/(x-3) = 3/(x-3) + 3
Problem 20
Solve each problem. See Example 2. Elwyn averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 55 mph. What is the distance between the two cities to the nearest ten miles if his total traveling time was 32 hr?
- Solve each equation. 4[2x-(3-x)+5] = -6x - 28
Problem 20
- Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. 2-4x+5(x-1)<-6(x-2)
Problem 20
Problem 20
Solve each equation. See Example 1. x/(x-4) = 4/(x-4) + 4
- Solve each equation using the zero-factor property. See Example 1. x^2 - 64 = 0
Problem 20
Problem 20a
Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √-36
- Perform each operation. Write answers in standard form. 15i- (3+2i) -11
Problem 21
- Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (4x+7)/-3≤2x+5
Problem 21
- Solve each problem. See Examples 1 and 2. Dimensions of a Square. The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the squares is 149 in.2. Find the lengths of the sides of the two squares.
Problem 21
Problem 21a
Write each number as the product of a real number and i. √-25
- Solve each equation. 1/15(2x+5) = 1/9(x+2)
Problem 22
- Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (2x-5)/-8≤1-x
Problem 22
- Solve each equation using the zero-factor property. See Example 1. 9x^2 - 12x + 4 = 0
Problem 22