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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:
e   Solve:
5x - 3 = 12   e
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e   Solve:
p3 + 6 = 9
   e
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e   Solve:
7x + 4 = 25   e
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e   What percent is 62 in 177.14?
   e
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e   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.   e View Solution
e   What is the place value of the digit 3 in the number 32,504?   e View Solution
e   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.
   e
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e   Find the common ratio of the geometric sequence for which a5 = 324 and a7 = 2916.

   e
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e   Choose the equivalent form of the rational number 0.7¯.
   e
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e   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.
   e
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e   Evaluate ∑n = 1(116)n - 1.
   e
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e   Evaluate ∑n = 123(6)n - 1.
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e   What is the sum of the infinite geometric series 1 + y55 + y110 + ... , where |y| < 1?
   e
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e   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.   e View Solution
e   What is the point on the y-axis at which the graph of the exponential growth function y = 46(3)x intersects it?   e View Solution
e   Solve: 9x&nbsp;-&nbsp;10 = 5   e View Solution
e   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.   e View Solution
e   Classify the disjunction as true, false or open: 0 < - 9 or Georgia is a state.   e View Solution
e   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]   e View Solution
e   Without graphing, find out how many x-intercepts the given function has.
y = 0.8x2 + 8x + 20   e
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e   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.
   e
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e   Determine whether the given statement is true or false: If z ≥ 0, then |z - 6| = 6 - z
   e
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e   Determine whether the given sentence is True or False: If b < 0, then |- b - 7| = b + 7.
   e
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e   Find the number of solutions of the linear system using the substitution method.
- 16x + 17y = 32
- 64x - y = - 10
   e
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e   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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