Which expression is equivalent to the given expression? 6y−12 6y−12 a)6y−12y−126y−12y−12 b)3y+3y−12 c)6y+6y−126y+6y−12 d)12y−6−6

3y+3y−12 is the right option

According to addition rules of algebra, only those terms can be added whose powers are same. Same terms while adding and subtracting at the same time cancel each other. As we can see that the second option 3y + 3y will give us -6y and then -12 is with it so it results 6y - 12 and that is the required function.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.