A pool is being filled with a large water hose. The height of the water in a pool is determined by 8g² + 38 – 4. Previously,
the pool had been filled with a different hose. Then, the height
was determined by 6g² + 2g – 1. Write an expression that
determines the height of the water in the pool if both hoses
are on at the same time. Simplify the expression

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation:

part a: 1.08

part b: 27.59

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.