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35k2 - 22k + 3 = 0 35k2 - 15k - 7k + 3 = 0 5k(7k - 3) - (7k - 3) = 0 (5k - 1)(7k - 3) = 0 5k -1 = 0 or 7k - 3 = 0 5k = 1 or 7k = 3 k = 1/5 or k = 3/7
35k^2 - 22k + 3 = 0 The factors of 35 are 1, 5, 7, 35 The factors of 3 are 1, 3 We need to multiply two factors which add to a sum of 22 As we can see, 3*5 + 1*7 will add to 22. However we need -22, which is easily fixed by changing the signs of two of the factors: -3*5 + -1*7 = -22 so to factor the equation would be (7k-3)(5k-1)=0 To find solutions to the equation, set each expression in the equation equal to 0. 7k-3=0 7k=3 k=3/7 5k-1=0 5k=1 k=1/5 So, k= 3/7 or 1/5
3k-5=7k+73k-7k=7+5-4k=12k=-3
answer=3k-3
k + 5k = 6k 2 x 3 x k
17k2-4k+19-14k2-16-7k-11k2=-8k2-11k+3
K/3 + k/4 = 1 LCD=12 *divide lcd by denominator* K(4) + K(3) = 12(1) 4k + 3k = 12 7k = 12 k=12/7
2k = 5k-30 Subtract 5k from both sides: -3k = -30 Divide both sides by -3 to find the value of k remembering that a minus divided into a minus becomes a plus: k = 10
3+1+3+3+3+4+3+4+1+1+1+1+1+1+5+6 =41 Every operation is addition so all the adding can happen in one step.
It is 77
It is: 4k-10+7-7k combines to -3k-3
A 5k is 3.1 miles.