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Solved Examples

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Lesson: 12.6.2: Solving Equations (By Completing the Square)  Click to change Lesson

Click on a 'View Solution' below for other questions:
BBB Solve:
5x - 3 = 12 BBB
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BBB Solve:
p3 + 6 = 9
 BBB
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BBB Solve:
7x + 4 = 25 BBB
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BBB What percent is 62 in 177.14?
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BBB Hanna had 349 feet of ribbon. 53.11% of the ribbon she had was of pink color. Find the length of the pink colored ribbon. BBB View Solution
BBB What is the place value of the digit 3 in the number 32,504? BBB View Solution
BBB The width of a rectangle is 18 its length. If the length of the rectangle is 140 cm, then find its width and write it in decimal form.
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BBB Find the common ratio of the geometric sequence for which a5 = 324 and a7 = 2916.

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BBB Choose the equivalent form of the rational number 0.7¯.
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BBB The length of the arc of the swing of a pendulum is 308 mm. If the length of the arc of each succeeding swing is decreasing by 30%, then find the total length the pendulum swings before it stops.
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BBB Evaluate ∑n = 1(116)n - 1.
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BBB Evaluate ∑n = 123(6)n - 1.
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BBB What is the sum of the infinite geometric series 1 + y55 + y110 + ... , where |y| < 1?
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BBB The average annual growth rate of a city is 0.5%, and the population of the city in 1996 was about 1.75 million. If the growth continues, then predict the population of the city in the year 2004. BBB View Solution
BBB What is the point on the y-axis at which the graph of the exponential growth function y = 46(3)x intersects it? BBB View Solution
BBB Solve: 9x&nbsp;-&nbsp;10 = 5 BBB View Solution
BBB A mechanical plant hires 915 labors on a daily wage scheme paying $8385. Men are paid $11 and women are paid $7. Find the number of men and women hired. BBB View Solution
BBB Classify the disjunction as true, false or open: 0 < - 9 or Georgia is a state. BBB View Solution
BBB Two chords a and b intersect as shown. Find the lengths of the two segments of the 14 cm chord if the lengths of the two segments of the 26 cm chord are 2 cm and 24 cm. [a = 14, b = 26] BBB View Solution
BBB Without graphing, find out how many x-intercepts the given function has.
y = 0.8x2 + 8x + 20 BBB
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BBB A mechanical plant hires 1,169 labors on a daily wage scheme paying $7,702. Men are paid $8 and women are paid $5. Find the number of men and women hired.
 BBB
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BBB Determine whether the given statement is true or false: If z ≥ 0, then |z - 6| = 6 - z
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BBB Determine whether the given sentence is True or False: If b < 0, then |- b - 7| = b + 7.
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BBB Find the number of solutions of the linear system using the substitution method.
- 16x + 17y = 32
- 64x - y = - 10
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BBB The table shows the percentages of the female and male populations who became the members of a social organisation in certain years from 1955 onwards. Which of the following is true for the given data?
Year1955196019651970197519801985199019952000
Women(%)38.740.742.346.349.354.558.560.561.963.2
Men(%)88.486.483.782.780.980.479.379.478.077.7

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