Answer:
4/(3(x-2))
Step-by-step explanation:
3x^2-21x+30=3(x^2-7x+10)=3(x-5)(x-2)
3x-15=3(x-5)
----------------------------
So the common denominator must be 3(x-5)(x-2)
2(x-2)=2x-4
Add the numerators,
(2x-16)+(2x-4)=4x-16-4=4x-20
-----------------
(4x-20)/[3(x-5)(x-2)]
simplify 4x-20 into 4(x-5)
cancel out the (x-5)'s for both the denominator and the numerator
4/[3(x-2)]
Try graphing the 3 first (you know it's positive 3 because it has a + before it, and you know the line is going to go down (negative) because it has a - before it, after that you can find the slope if the line, in this case 1/2, and move one unit down (because it's negative) and 2 to the right
Hope this helped! :)
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.