Answer:
Step-by-step explanation:
Honestly don't even care about the points lol. You need to divide 12^7 by 12^3, which comes out to 20,736 crates needed for the shipment of toys. If that first 12 isnt to the power of 3 simply replace it with the power that it actually is and divide 12^7 by it.
Answer:
7 ducks equals 7 pigs.
Step-by-step explanation:
English Translation
On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?
Solution
For 12 ducks, there are 5 chickens
12 ducks = 5 chickens
For 3 chickens, there are 8 turkeys
3 chickens = 8 turkeys
For 10 turkeys, there are 9 pigs
10 turkeys = 9 pigs
We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.
9 pigs = 10 turkeys
8 turkeys = 3 chickens
10 turkeys = (10×3/8) chickens = 3.75 chickens
Hence, 9 pigs = 10 turkeys = 3.75 chickens
9 pigs = 3.75 chickens.
12 ducks = 5 chickens
5 chickens = 12 ducks
3.75 chickens = (3.75×12/5) ducks = 9 ducks.
9 pigs = 3.75 chickens = 9 ducks
9 pigs = 9 ducks.
Hence, 7 pigs = 7 ducks too.
Hope this Helps!!!
first off let's notice that hmmm the vertex is above the point (3,-3), so if we "assume" is a vertical parabola, then it'd be opening downwards.... anyhow that said, let's plug in those values.
![\bf ~~~~~~\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=%5Cbf%20~~~~~~%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)
![\bf vertex~~(\stackrel{h}{2}~~,~~\stackrel{k}{1})\qquad \implies \qquad y = a(x-2)^2+1 \\\\\\ \stackrel{\textit{we also know that }}{(3~~,~~-3)} \begin{cases} x = 3\\ y = -3 \end{cases}\qquad \implies -3=a(3-2)^2+1 \\\\\\ -3=a(1)^2+1\implies -3=a+1\implies -4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = -4(x-2)^2+1~\hfill](https://tex.z-dn.net/?f=%5Cbf%20vertex~~%28%5Cstackrel%7Bh%7D%7B2%7D~~%2C~~%5Cstackrel%7Bk%7D%7B1%7D%29%5Cqquad%20%5Cimplies%20%5Cqquad%20y%20%3D%20a%28x-2%29%5E2%2B1%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%20also%20know%20that%20%7D%7D%7B%283~~%2C~~-3%29%7D%20%5Cbegin%7Bcases%7D%20x%20%3D%203%5C%5C%20y%20%3D%20-3%20%5Cend%7Bcases%7D%5Cqquad%20%5Cimplies%20-3%3Da%283-2%29%5E2%2B1%20%5C%5C%5C%5C%5C%5C%20-3%3Da%281%29%5E2%2B1%5Cimplies%20-3%3Da%2B1%5Cimplies%20-4%3Da%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20y%20%3D%20-4%28x-2%29%5E2%2B1~%5Chfill)
GCF means: greatest common factor, the biggest number by which both numbers can be divided.
We knew that both numbers are divisible by 3: both 6 and 3 are divisible by 3.
also, they are both divisible by "a": since they are products of a and other numbers or variables.
So the answer is:
3a
350
Because you do 14 cm times 25 cm to get your answer
