Answer:
The vertex of the parabola is (-2,0)
Step-by-step explanation:
The given function is:
Now, in order to find the vertex for the parabola, that is v(h,k), comparing the above equation with the standard form of equation that is 
, we get
a=-3, b=-6 and c=0
We know, 
and 
, therefore
and 
Thus, the vertex is given as:(h,k)=(-2,0).
1000 since the 348 in 1348 is closer to 1000 than 2000
Answer:
<u>55.44 inches</u>
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
<u>the predicted rainfall in 2017 is 55.44 in</u>
To solve this problem, you first need to subtract 100,034-9,348. You do this because Lexi scored that many points LOWER than Rial. You then take the answer to that subtraction problem (90,696) and add 9,749 to that answer. You do this because Susie scored 9,749 MORE than Lexi. You should get 100,435. This is Susie's score, so your final answer is 100,435 points.
