Maximum height occurs when the velocity, derivative of the height function, is equal to zero...
dy/dx=-0.06x+1.53, dy/dx=0 when 0.06x=1.53, x=25.5 yds
The maximum height is then found using this x in the height equation...
h(25.5)=19.5 (to nearest tenth)
I assume they want to know the maximum distance that the football travels before it hits the ground...when h=0 that will represent total distance traveled when we solve for x...
-0.03x^2+1.53x=0
1.53=0.03x
x=51 yds
Whatever% of anything is just (whatever/100) * anything.
x = ounces of 14% iodine.
y = ounces of 29% iodine.
we know that in a 14% iodine solution, 14% is iodine and the rest is something else, we also know that "x" ounces of the solution have 14% of iodine, how much is that? (14/100) * x, or 0.14x.
likewise, in the 89 ounces of 47% solution there is (47/100) * 89 of iodine.
and likewise as well, in "y" ounces of 29% iodine there is (29/100) * y, or 0.29y of iodine.
bearing in mind that, whatever "x" and "y" may be, x + 89 = y, and that the sum of the iodine amounts also will equate 0.29y.
The answer is
or you can replace -1/5 with -0.2
follow the procedures in the attachment please.
This is most likely a proportional relationship because DOUG regularly mows his neighbors yard