Step-by-step explanation:
Since, Y varies inversely as the square root of x.
![\therefore \:y \: \alpha \: \frac{1}{ \sqrt{x} } \\ \therefore \: y \: = \: \frac{k}{ \sqrt{x} } ...(1)\: \\ ( \: where \: k = constant) \\ now, \: at \: x = 25 \: \: and \: \: y = 2 \\ 2 = \frac{k}{ \sqrt{25} } \\ \therefore \: 2 = \frac{k}{ \sqrt{25} } \\ \therefore \: 2 = \frac{k}{ 5 } \\ \therefore \: \: k = 2 \times 5 \\ \huge \red{ \boxed{ \therefore \: \: k = 10}} \\ \\ substituting \: k = 10 \: in \: eq. \: (1) \:we \: find : \\ y \: = \: \frac{10}{ \sqrt{x} } \\ \\ next, \: at \: x = 4 \\ y \: = \: \frac{10}{ \sqrt{4} } \\ \therefore \: y \: = \: \frac{10}{ 2 } \\ \huge \purple{ \boxed{\therefore \: y = 5}}](https://tex.z-dn.net/?f=%5Ctherefore%20%5C%3Ay%20%5C%3A%20%20%5Calpha%20%5C%3A%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7Bx%7D%20%7D%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20y%20%5C%3A%20%3D%20%20%5C%3A%20%20%5Cfrac%7Bk%7D%7B%20%5Csqrt%7Bx%7D%20%7D%20...%281%29%5C%3A%20%20%5C%5C%20%28%20%5C%3A%20where%20%5C%3A%20k%20%3D%20constant%29%20%5C%5C%20now%2C%20%5C%3A%20at%20%5C%3A%20x%20%3D%2025%20%5C%3A%20%20%5C%3A%20and%20%5C%3A%20%20%5C%3A%20y%20%3D%202%20%5C%5C%20%202%20%3D%20%20%5Cfrac%7Bk%7D%7B%20%5Csqrt%7B25%7D%20%7D%20%20%5C%5C%20%5Ctherefore%20%5C%3A%202%20%3D%20%20%5Cfrac%7Bk%7D%7B%20%5Csqrt%7B25%7D%20%7D%20%20%5C%5C%20%5Ctherefore%20%5C%3A%202%20%3D%20%20%5Cfrac%7Bk%7D%7B%205%20%7D%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%5C%3A%20k%20%3D%202%20%5Ctimes%205%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20%5Ctherefore%20%5C%3A%20%5C%3A%20k%20%3D%2010%7D%7D%20%5C%5C%20%20%5C%5C%20substituting%20%5C%3A%20k%20%3D%2010%20%5C%3A%20in%20%5C%3A%20eq.%20%5C%3A%20%281%29%20%5C%3Awe%20%5C%3A%20find%20%3A%20%20%5C%5C%20y%20%5C%3A%20%3D%20%20%5C%3A%20%20%5Cfrac%7B10%7D%7B%20%5Csqrt%7Bx%7D%20%7D%20%5C%5C%20%20%5C%5C%20next%2C%20%5C%3A%20at%20%5C%3A%20x%20%3D%204%20%5C%5C%20%20y%20%5C%3A%20%3D%20%20%5C%3A%20%20%5Cfrac%7B10%7D%7B%20%5Csqrt%7B4%7D%20%7D%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20y%20%5C%3A%20%3D%20%20%5C%3A%20%20%5Cfrac%7B10%7D%7B%202%20%7D%20%5C%5C%20%20%20%5Chuge%20%5Cpurple%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20y%20%3D%20%205%7D%7D)
Hii!! friend
i m here to
help u
I hope u know the point -slope form
,here, the equation will be
y+3= -6x -54
Answer:
I think a
Step-by-step explanation:
I will answer second attachment and after since I can't see the firs attachment
2nd attachment
if x is negative, then the first number gets infinitely small
look at the second number, the first 2 is -2 which is wrong since it should be +2
3rd option is not because if x=-2, then y=1
answer is D
3rd attachment
2nd: f(x)=60*1.15^x
3rd: no xint
6th: after 7.86 years value tripples
7th maybe: after 8 years value is 183.51, not exatly 184.00
4th attachment
nth score is
f(n)=57+4(n-1)
9th is
f(9)=57+4(9-1)
57+32=89
answer is C 89
5th
f(t)=23000(1.02)^t
t=time in years from 23000
(x-5)^2+(y+4)^2=100
hope this helps