Check the picture below.
so, we know the parabola has a vertex at (0 , 50), we also know it passes through (60 , 0), so then
![~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=~~~~~~%5Ctextit%7Bvertical%20parabola%20vertex%20form%7D%20%5C%5C%5C%5C%20y%3Da%28x-%20h%29%5E2%2B%20k%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22a%22~is~negative%7D%7Bop%20ens~%5Ccap%7D%5Cqquad%20%5Cstackrel%7B%22a%22~is~positive%7D%7Bop%20ens~%5Ccup%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
![\stackrel{vertex}{(0~~,~~50)}\implies y=a(x-0)^2+50\implies y = ax^2+50 \\\\\\ \begin{cases} x =60\\ y = 0 \end{cases}\implies 0=a6^2+50\implies -50=3600a\implies -\cfrac{50}{3600}=a \\\\\\ -\cfrac{1}{72}=a~\hfill therefore~\hfill \boxed{y=-\cfrac{1}{72}x^2+50}](https://tex.z-dn.net/?f=%5Cstackrel%7Bvertex%7D%7B%280~~%2C~~50%29%7D%5Cimplies%20y%3Da%28x-0%29%5E2%2B50%5Cimplies%20y%20%3D%20ax%5E2%2B50%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20x%20%3D60%5C%5C%20y%20%3D%200%20%5Cend%7Bcases%7D%5Cimplies%200%3Da6%5E2%2B50%5Cimplies%20-50%3D3600a%5Cimplies%20-%5Ccfrac%7B50%7D%7B3600%7D%3Da%20%5C%5C%5C%5C%5C%5C%20-%5Ccfrac%7B1%7D%7B72%7D%3Da~%5Chfill%20therefore~%5Chfill%20%5Cboxed%7By%3D-%5Ccfrac%7B1%7D%7B72%7Dx%5E2%2B50%7D)
so then, what's "y" when x = 25?
![y=-\cfrac{1}{72}25^2+50\implies y = -\cfrac{625}{72}+50\implies y = \cfrac{2975}{72}\implies y\approx 41.32](https://tex.z-dn.net/?f=y%3D-%5Ccfrac%7B1%7D%7B72%7D25%5E2%2B50%5Cimplies%20y%20%3D%20-%5Ccfrac%7B625%7D%7B72%7D%2B50%5Cimplies%20y%20%3D%20%5Ccfrac%7B2975%7D%7B72%7D%5Cimplies%20y%5Capprox%2041.32)
Answer:
7 / 99
Step-by-step explanation:
7 / 99 = 7 ÷ 99 = 0.07070707...
Answer:
8.48
Step-by-step explanation:
5 is the independent variable and 20.0 is the dependent variable.
Answer:
True statements are:
C. The water level decreased by \abs{-12} inches.
E. The water level experienced a change of 12 inches.
Step-by-step explanation:
A change in the water level of a swimming pool is recorded a -12 inches.
Now, from the above statements, we have to choose options statements that are true.
A. The water level increased by 12 inches. This is false.
B. The water level increased by \abs{-12} inches. This is also false.
C. The water level decreased by \abs{-12} inches. This is a true statement.
D. The water level has a height of -12 inches. This is again a false statement.
E. The water level experienced a change of 12 inches. This is a true statement. (Answer)