w-4=-12-3w
Add 12 to each side:
w + 8 = -3w
Subtract 1w from each side:
8 = -4w
Divide both sides by -4:
w = 8 / -4
w = -2
First, you are going to distribute the 3 into the (6x+2x) and the 8 into the (5x+6). After that, the parenthesis should be gone. Then, move all the x values to one side, and the constants to the other. Then, solve as you normally would.
Answer:
127.5
Step-by-step explanation:
The given series is 26 + 24.5 + 23 + 21.5 + ... - 17.5
The first term of this series is a=26
The common difference is d=24.5-26=-1.5
The last term of the series is -17.5
The nth term is given by:
n=30
The sum of the series:
Answer:
−1(5−2)(5+2)
Step-by-step explanation:
Eliminate redundant parentheses
(−11²+6)−1(14² +2)
Distribute
−11² + 6 -- 1(14² +2)
−11² + 6 - 14² − 2
I would think that all but one point would be on the line. One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation. Next time, would you please enclose the coordinates of each point inside parentheses: (2.5,14), (2.25,12), and so on, to avoid confusion.
14-12
slope of line thru 1st 2 points is m = ---------------- = 2/0.25 = 8
2.50-2.25
What is the eqn of the line: y = mx + b becomes
14 = (8)(2.5) + b; find b:
14-20 = b = -6. Then, y = 8x - 6.
Now determine whether (12,1.25) lies on this line.
Is 1.25 = 8(12) - 6? Is 1.25 = 90? No. So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).
Why not work this problem out yourself using my approach as a guide?
