Question 4
Given: g(x)=-3x2 + 5x and h(x) = 2x +1
Find: g(h(x+1))

Help

9+10x

Step-by-step explanation:

Given: g(x)= -3x2 + 5x = -6+5x

    and h(x) = 2x +1

Find: g(h(x+1))

1!

h(x+1)= 2(x+1) +1

        =2x+3

2! substitute h(x+1)in function g(x)

g(h(x+1))= -6 + 5(2x+3)

             = -6+10x+15

             = 9+10x

ps. im not sure (-3x2 + 5x) is -6+5x (-3 multiply 2) or question is not clear

step-by-step explanation:

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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.