98 points and brainliest

find a quadratic function that includes the set of values below

(0,,,0)

y=-4x^2+9x+9

Step-by-step explanation:

1st: we assume the equation will be in standard form (ax^2+bx+c)

2nd: since the graph passes through (0,9) then the y-intercept is @(0,9) or your c is 9.

3rd: since it passes through (2,11) then 11=4a+2b+c

4th: since it also passes through (3,0) then 0=9a+3b+c

* so we have c=9, 11= 4a+2b+c, and 0= 9a+3b+c*

So a=-4, b=9, c=9

plug in the numbers and you get y= 4x^2+9x+9

Hope this helps you. :3

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x

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.