Answer:
i was honestly confused at first lol
Y = -.003x²<span> + .120x + 1.909
</span>Standard form of a parabola is y = ax² + bx + c. The x coordinate of the vertex can be found with -b/2a.
-.120/(2 × -.003) + 20
So the max is at 1950 + 20 because x is years after 1950. Which is 1970.
To find when y will be 0, use the quadratic equation x = [-b +/- √(a² - 4ac)]/2a. +/- means plus or minus because I can't type the actual symbol.
x = [-.120 +/- √(-.003² - 4(-.003)(1.909))]/2(-.003) Plug in info
x = [-.120 +/- √(.000009 - 4(-.005727))]/-.006
x = [-.120 +/- √(.000009 + .022908)]/-.006
x = [-.120 +/- √(.022917)]/-.006
x=-.120/-.006 +/- √(.022917)/-.006
x = 20 +/- <span>.15138361866/-.006
x = 20 +/- -</span><span>25.2306031108
Because it is plus or minus you split it and do both.
x = 20 - </span>-25.2306031108 x = 20 + -25.2306031108<span>
x = </span>45.2306031108 x = -<span>5.23060311077
so y is 0 when x is 45.2306031108 because there is no such thing as negative time so it can't be the other one. So the answer is 1995 because you add 45 to 1950.
Since the max is at 1970, it is increasing from 1950 to 1975 and decreasing from 1975 to 1995.
Sorry I took so long, I had to look up how to do it because I couldn't remember.</span>
2 21/30 + 9 4/30
=11 25/30
=11 5/6
