21212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121vv
The sum from 1 to n is n*(n+1)/2In this case that mean 20*21/2 = 210The sum from 1 to n is n*(n+1)/2In this case that mean 20*21/2 = 210The sum from 1 to n is n*(n+1)/2In this case that mean 20*21/2 = 210The sum from 1 to n is n*(n+1)/2In this case that mean 20*21/2 = 210
One meaning could be "Arithmetic Mean". Thus is you have a sample set containing number say 1, 4, 5, 2, 7, 9, 21, 12, then the Arithmetic mean would be the sum of the numbers divided by the number of numbers. In this case it would be (1 + 4 + 5 + 2 + 7 + 9+ 21 + 12)/8 = 61/8 = 7 and 5/8
50% = 0.50 = 1/21/2 of 12 = 6
There are 12 inches per foot. Therefore, (10-1/2)/12 = (21/2)/12 = 21/24 = 7/8 foot.
21212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121vv
1, 2, 3, 4, 6, 12 1, 3, 7, 21
24
The common factors of 12 and 14 are 1 and 21 and 2
The factors of 12 are: 1, 2, 3, 4, 6, 12 The factors of 21 are: 1, 3, 7, 21 The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
hmm... i don' think you have the completed the question. This one is pretty hard! Solving quadratics can be difficult and ompleting the square is one method for solving a quadratic equation.Is the equation -84x2-8x-12=0 or -84x2+8x - 12 = 0 or -84x2 = 8x - 12?If it is the first one:Factor out the 4:-4 (21x2 + 2x + 3) = 021x2 + 2x + 3 = 0 (divide by 21 each term to both sides)x2 + (2/21)x + 3/21 = 0 (subtract 3/21 to both sides)x2 + (2/21)x = -3/21 (add (1/2 of 2/21)2 or (1/21)2 to both sides)x2 + (2/21)x + (1/21)2 = -3/21 + 1/212(x + 1/21)2 = -63/212 + 1/212(x + 1/21)2 = -62/212 (square root to both sides)x + 1/21 = ± √-62/212x + 1/21 = ± (i/21)√62 (subtract 1/21 to both sides)x = -1/21 ± (i/21)√62x = -1/21 (1 - i√62) orx = -1/21 (1+ i√62)If it is the third one:-84x2 = 8x - 12 (divide by -84 to both sides)x2 = -(2/21)x + 3/21 (add (2/21)x to both sides)x2 + (2/21)x = 3/21 (add (1/2 of 2/21)2 or (1/21)2 to both sides)x2 + (2/21)x + (1/21)2 = 3/21 + 1/212(x + 1/21)2 = 63/212 + 1/212(x + 1/21)2 = 64/212 (square root to both sides)x + 1/21 = ± √64/212x + 1/21 = ± 8/21 (subtract 1/21 to both sides)x = -1/21 ± 8/21x = -1/21 + 8/21 = 7/21 = 1/3 orx = -1/21 - 8/21 = -9/21 = -3/7
The factors of 12 are:1, 2, 3, 4, 6, 12The factors of 21 are:1, 3, 7, 21The Greatest Common Factor:GCF = 3
The factors of 21 are 1, 3, 7 and 21. The factors of 18 are 1, 2, 3, 6, and 18.
The sum from 1 to n is n*(n+1)/2In this case that mean 20*21/2 = 210The sum from 1 to n is n*(n+1)/2In this case that mean 20*21/2 = 210The sum from 1 to n is n*(n+1)/2In this case that mean 20*21/2 = 210The sum from 1 to n is n*(n+1)/2In this case that mean 20*21/2 = 210
Factors of 9: 1, 3, 9Factors of 12: 1, 2, 3, 4, 6, 12Factors of 21: 1, 3, 7, 21GCF (9, 12, 21) = 3
One meaning could be "Arithmetic Mean". Thus is you have a sample set containing number say 1, 4, 5, 2, 7, 9, 21, 12, then the Arithmetic mean would be the sum of the numbers divided by the number of numbers. In this case it would be (1 + 4 + 5 + 2 + 7 + 9+ 21 + 12)/8 = 61/8 = 7 and 5/8
50% = 0.50 = 1/21/2 of 12 = 6