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A question of prime factors... The answer is 2 x 2 x 3 x 5 x 7 = 420 2 x 2 x 3 x 5 x 7 gives us a factor of 2... 2 x 2 x 3 x 5 x 7 and of 3... 2 x 2 x 3 x 5 x 7 and of 4... 2 x 2 x 3 x 5 x 7 and of 5... 2 x 2 x 3 x 5 x 7 and of 6... 2 x 2 x 3 x 5 x 7 and of 7.
2 x 3 x 7 x 25 5 x 5 x 6 x 7 3 x 5 x 7 x 10 3 x 5 x 5 x 14 2 x 5 x 7 x 15 2 x 5 x 5 x 21 2 x 3 x 5 x 35
f(x)= (x-7) /(-2x+7)(2x+5) set -2x+7=0 -2x=-7 x=7/2 set 2x+5=0 2x=-5 x=-5/2 x=7/2 and x=-5/2 are vertical asymptotes.
1 x 350 2 x 175 5 x 70 7 x 50 10 x 35 14 x 25 2 x 5 x 35 2 x 7 x 25 5 x 5 x 14 5 x 7 x 10 2 x 5 x 5 x 7
Prime factors are 2, 2, 2, 2, 5, 5, 5, 7 Other factors are combinations, i.e. 2 x 2 = 4 2 x 5 = 10 2 x 7 = 14 5 x 5 = 25 5 x 7 = 35 2 x 2 x 2 = 8 2 x 2 x 5 = 20 2 x 2 x 7 = 28 2 x 5 x 5 = 50 2 x 5 x 7 = 70 5 x 5 x 5 = 125 5 x 5 x 7 = 175 2 x 2 x 2 x 2 = 16 2 x 2 x 2 x 5 = 40 2 x 2 x 2 x 7 = 56 2 x 2 x 5 x 5 = 100 2 x 2 x 5 x 7 = 140 2 x 5 x 5 x 5 = 250 2 x 5 x 5 x 7 = 350 5 x 5 x 5 x 7 = 875 2 x 2 x 2 x 2 x 5 = 80 2 x 2 x 2 x 2 x 7 = 112 2 x 2 x 2 x 5 x 5 = 200 2 x 2 x 2 x 5 x 7 = 280 2 x 2 x 5 x 5 x 5 = 500 2 x 2 x 5 x 5 x 7 = 700 2 x 5 x 5 x 5 x 7 = 1,750 2 x 2 x 2 x 2 x 5 x 5 = 400 2 x 2 x 2 x 2 x 5 x 7 = 560 2 x 2 x 2 x 5 x 5 x 5 = 1,000 2 x 2 x 2 x 5 x 5 x 7 = 1,400 2 x 2 x 5 x 5 x 5 x 7 = 3,500 2 x 2 x 2 x 2 x 5 x 5 x 5 = 2,000 2 x 2 x 2 x 2 x 5 x 5 x 7 = 2,800 2 x 2 x 2 x 5 x 5 x 5 x 7 = 7,000
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A question of prime factors... The answer is 2 x 2 x 3 x 5 x 7 = 420 2 x 2 x 3 x 5 x 7 gives us a factor of 2... 2 x 2 x 3 x 5 x 7 and of 3... 2 x 2 x 3 x 5 x 7 and of 4... 2 x 2 x 3 x 5 x 7 and of 5... 2 x 2 x 3 x 5 x 7 and of 6... 2 x 2 x 3 x 5 x 7 and of 7.
4900 = 2 x 2 x 5 x 5 x 7 x 7 or 22 x 52 x 72
14000 = 14 x 1000 = 2 x 7 x 10 x 100 = 2 x 7 x 2 x 5 x 2 x 50 = 2 x 7 x 2 x 5 x 2 x 2 x 25 = 2 x 7 x 2 x 5 x 2 x 2 x 5 x 5 = 24 x 53 x 7
x + 2x - x + 7 = 4x - x + 2 Clean this up. 2x + 7 = 3x + 2 Subtract 2x from both sides. 7 = x + 2 Now subtract 2 from both sides. 5 = x ◄ Check 5 + 2(5) - 5 + 7 = 4(5) - 5 + 2 5 + 10 - 5 + 7 = 20 - 5 + 2 15 - 5 + 7 = 15 + 2 10 + 7 = 17 ■
2 is one of them, 350 isn't prime you have to keep splitting it up. The prime factorization of 700 is 2x2x5x5x7
700 = 2 * 2 * 5 * 5 * 7 = 22 * 52 * 7
700 = 2 X 2 X 5 X 5 X 7 The answer is 2, 5, 7
hcf(490, 1750) = 70 Using factorisation: 490 = 2 x 5 x 7² 1750 = 2 x 5³ x 7 hcf = 2 x 5 x 7 = 70
(x + 7)2 = 5 x + 7 = ±√5 x + 7 - 7 = -7 ± √5 x = -7 ± √5
7 x-5 = 2