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- Determine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. -6(2x+1) - 3(x-4) = -15x+1
Problem 36
- Solve each inequality. Give the solution set in interval notation. | 7 - 3x | > 4
Problem 36
Problem 36
Solve each equation. See Example 2. 3x2/(x-1) + 2 = x/(x-1)
- Solve each equation using the square root property. See Example 2. (-2x + 5)^2 = -8
Problem 36
Problem 37
Solve each inequality. Give the solution set in interval notation.
Problem 37
Solve each problem. See Example 4. In planning her retirement, Kaya deposits some money at 2.5% interest, and twice as much money at 3%. Find the amount deposited at each rate if the total annual interest income is $850.
Problem 37a
Find each product or quotient. Simplify the answers. √-10 / √-40
- Determine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. -0.6(x-5)+0.8(x-6) = 0.2x - 1.8
Problem 38
- Solve each inequality. Give the solution set in interval notation. See Example 4. 1≤(4x-5)/2<9
Problem 38
- Solve each inequality. Give the solution set in interval notation. | 7 - 3x | ≤ 4
Problem 38
- Find the coordinates of the other endpoint of each line segment, given its midpoint and one endpoint. See Example 5(b). midpoint (-9, 8), endpoint (-16, 9)
Problem 38
- Solve each equation using completing the square. See Examples 3 and 4. x^2 - 7x + 12 = 0
Problem 38
- Solve each inequality. Give the solution set in interval notation. | (2/3)x + 1/2 | ≤ 1/6
Problem 39
Problem 39
Solve each problem. See Example 4. Zhu inherited $200,000 from her grandmother. She first gave 30% to her favorite charity. She invested some of the rest at 1.5% and some at 4%, earning $4350 interest per year. How much did she invest at each rate?
- Solve each equation. 2x²+x-15 = 0
Problem 39
Problem 39a
Find each product or quotient. Simplify the answers. √-6 * √-2 / √3
- Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. I=Prt,for P (simple interest)
Problem 40
- Solve each inequality. Give the solution set in interval notation. | 5/3 - (1/2) x | > 2/9
Problem 40
Problem 40
Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2-7x+10<0
- Solve each equation. -2x² +11x = -21
Problem 41
- Solve each inequality. Give the solution set in interval notation. | 0.01x + 1 | < 0.01
Problem 41
- Solve each equation using completing the square. See Examples 3 and 4. x^2 - 2x - 2 = 0
Problem 41
- Solve each problem. See Example 2. Length of a WalkwayA nature conservancy group decides to construct a raised wooden walkway through a wetland area. To enclose the most interesting part of the wetlands, the walkway will have the shape of a right triangle with one leg 700 yd longer than the other and the hypotenuse 100 yd longer than the longer leg. Find the total length of the walkway.
Problem 41
Problem 41
Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2-x-6>0
Problem 41a
Write each number in standard form a+bi. -6-√-24 / 2
- Explain why the equation | x | = √x² has infinitely many solutions.
Problem 42
Problem 42
Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x2-7x+10>0
- Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. P=2l+2w,for w (perimeter of a rectangle)
Problem 42
- Solve each equation or inequality. |4x + 3| - 2 = -1
Problem 43
Problem 43
Solve each problem. See Examples 5 and 6. Formaldehyde is an indoor air pollutant formerly found in plywood, foam insulation, and carpeting. When concentrations in the air reach 33 micrograms per cubic foot (μg/ft^3), eye irritation can occur. One square foot of new plywood could emit 140 μg per hr. (Data from A. Hines, Indoor Air Quality & Control.) A room has 100 ft^2 of new plywood flooring. Find a linear equation F that computes the amount of formaldehyde, in micrograms, emitted in x hours.