Solve the inequality for x. show each step of the soultion 12x> 9(2x-3)-21

x< 8

Step-by-step explanation:

12x > 9(2x-3) -21

12x > 18x- 27 - 21

12x > 18x -48

Adding 48 on both the sides

12x + 48 > 18x -48+48

12x + 48 > 18x

Subtracting 12x from both the sides

12x - 12x +48 > 18x - 12x

48 > 6x

Dividing both the sides by 6

8 > x

Thus x < 8

a

step-by-step explanation:

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.