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Problem 22
Solve each problem. See Example 2. Two planes leave Los Angeles at the same time. One heads south to San Diego, while the other heads north to San Francisco. The San Diego plane flies 50 mph slower than the San Francisco plane. In 1/2 hr, the planes are 275 mi apart. What are their speeds?
Problem 23
Solve each problem. See Example 2. In the Apple Hill Fun Run, Mary runs at 7 mph, Janet at 5 mph. If they start at the same time, how long will it be before they are 1.5 mi apart?
- Solve each equation. 0.2x - 0.5 = 0.1x+7
Problem 23
- Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. (1/3)x+(2/5)x-(1/2)(x+3)≤1/10
Problem 23
- Solve each problem. See Examples 1. Dimensions of a Parking Lot. A parking lot has a rectangular area of 40,000 yd2. The length is 200 yd more than twice the width. Find the dimensions of the lot.
Problem 23
- Determine whether each relation defines a function, and give the domain and range. See Examples 1–4.
Problem 23
Problem 23a
Write each number as the product of a real number and i. √-10
- Perform each operation. Write answers in standard form. (-8+2i)(-1+i)
Problem 24
- Solve each inequality. Give the solution set in interval notation. See Examples 1 and 2. -(2/3)x-(1/6)x+(2/3)(x+1)≤4/3
Problem 24
Problem 24
Solve each equation. See Example 1. 3/(x2+x-2) - 1/(x2-1) = 7/(2x2+6x+4)
- Solve each equation using the zero-factor property. See Example 1. 36x^2 + 60x + 25 = 0
Problem 24
- Perform each operation. Write answers in standard form. (5-11i)(5+11i)
Problem 25
- Solve each equation. -4(2x-6) +8x= 5x+24+x
Problem 25
Problem 25
Solve each problem. See Example 2. At the 2008 Summer Olympics in Beijing, Usain Bolt set a new Olympic and world record in the 100-m dash with a time of 9.69 sec. If this pace could be maintained for an entire 26-mi marathon, what would his time be? How would this time compare to the fastest time for a marathon, which is 2 hr, 3 min, 23 sec, set in 2013? (Hint: 1 m ≈ 3.281 ft.) (Data from Sports Illustrated Almanac.)
Problem 25a
Write each number as the product of a real number and i. √-288
Problem 26
Solve each equation. See Example 2. (4x+3)/(x+1) + 2/x = 1/(x2+x)
Problem 26
Solve each equation using the square root property. See Example 2. x2 = 121
- Determine whether the three points are the vertices of a right triangle. See Example 3. (-4,3),(2,5),(-1,-6)
Problem 27
- Perform each operation. Write answers in standard form. -5i(3-i)²
Problem 27
- Solve each equation. 0.5x+ 4/3x= x+10
Problem 27
Problem 27
Solve each equation. See Example 2. x/(x-1) - 1/(x+1) = 2/(x2-1)
- Solve each equation using the square root property. See Example 2. 27 - x^2 = 0
Problem 27
- Volume of a Box. A rectangular piece of metal is 10 in. longer than it is wide. Squares with sides 2 in. long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in.^3, what were the original dimensions of the piece of metal?
Problem 27
Problem 27
Solve each problem. See Example 2. Callie took 20 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 15 min. If the current in that part of the river is 5 km per hr, what was her boat speed?
Problem 27a
Write each number as the product of a real number and i. -√-18
- Solve each inequality. Give the solution set in interval notation. | 3x - 4 | < 2
Problem 28
- Solve each equation using the square root property. See Example 2. 48 - x^2 = 0
Problem 28
Problem 29
Perform each operation. Write answers in standard form. -12 -i / -2 -5i
- Solve each equation. 0.08x+0.06(x+12) = 7.72
Problem 29
- Solve each inequality. Give the solution set in interval notation. See Example 4. -5<5+2x<11
Problem 29