For determining sequences a good start is to look at the difference between adjacent numbers. For the sequence: 2, 3, 5, ?, 12 write the differences. This sequence is not a hard one.
t = 3t^3 + 22t^2 + 8t subtract t from both sides 3t^3 + 22t^2 + 7t = 0 t is common to each term t(3t^2 + 22t + 7) = 0 So, t = 0 is one solution. Factor 3t^2 + 22t + 7 to get the other two solutions.
You had the right idea when you said "the weight of the book is cancelled out by the support of the table". The force due to gravity is opposed by a force exerted on the book by the table. The NET force on the book is zero. So, the answer is b.
That looks good!
Yes, there is a solution. Start by getting a common denominator.
It looks like some parenthesis would help clear this up. 2/(x-5) = 1/(x+2) cross multiply... 2*(x+2) = x-5 = 2x + 4 = x - 5 subtract 4 from both sides 2x = x - 9 subtract x from both sides x = -9 check by substituting -9 back into the original equation. 2/(-9 - 5) = 1/(-9 + 2 ...
Math-please check my answer
math-please check my answer
No, the slope is not 3. (y2 - y1)/(x2 - x1) point 1: x1 = 3, y1 = 5 point 2: x2 = -5, y2 = -2 So... (-2 - 5)/(-5 - 3) =(-7)/(-8) =7/8