Answer:
y = -5/2x - 3
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
=
y = -5/2x - 3
Answer:
anything :)))
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Given that:
The number of paint sets, Suzanne bought= 6
As each set contains the same number of brushes.
Let x be the number of brushes each set contains.
So, the total number of brushes in 6 sets = 6x.
It is given that the total number of brushes she has is 18, which is equals to 6x.
So, the required equation is
![6x=18](https://tex.z-dn.net/?f=6x%3D18)
![\Rightarrow x=\frac {18}{6}](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D%5Cfrac%20%7B18%7D%7B6%7D)
![\Rightarrow x=3.](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D3.)
Hence, the number of paint brushes each set contains is 3.
Answer:
y+2 = -4/5(x-3)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y - -2 = -4/5(x-3)
y+2 = -4/5(x-3)
Answer:
Therefore
, A=184
Step-by-step explanation:
Given function is
![T(t)=230 -e^{-kt}](https://tex.z-dn.net/?f=T%28t%29%3D230%20-e%5E%7B-kt%7D)
where T(t) is the temperature in °C and t is time in minute and A and k are constants.
She noticed that after 18 minutes the temperature of the pie is 138°C
Putting T(t) =138°C and t= 18 minutes
![138=230 -Ae^{-k\times 18}](https://tex.z-dn.net/?f=138%3D230%20-Ae%5E%7B-k%5Ctimes%2018%7D)
![\Rightarrow -Ae^{-18k}=138-230](https://tex.z-dn.net/?f=%5CRightarrow%20%20-Ae%5E%7B-18k%7D%3D138-230)
.....(1)
Again after 36 minutes it is 184°C
Putting T(t) =184°C and t= 36 minutes
![184=230-Ae^{-k\times 36}](https://tex.z-dn.net/?f=184%3D230-Ae%5E%7B-k%5Ctimes%2036%7D)
![\Rightarrow Ae^{-36k}=230-184](https://tex.z-dn.net/?f=%5CRightarrow%20Ae%5E%7B-36k%7D%3D230-184)
.......(2)
Dividing (2) by (1)
![\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}](https://tex.z-dn.net/?f=%5Cfrac%7BAe%5E%7B-36k%7D%7D%7BAe%5E%7B-18k%7D%7D%3D%5Cfrac%7B46%7D%7B92%7D)
![\Rightarrow e^{-18k}=\frac{46}{92}](https://tex.z-dn.net/?f=%5CRightarrow%20e%5E%7B-18k%7D%3D%5Cfrac%7B46%7D%7B92%7D)
Taking ln both sides
![ln e^{-18k}=ln\frac{46}{92}](https://tex.z-dn.net/?f=ln%20e%5E%7B-18k%7D%3Dln%5Cfrac%7B46%7D%7B92%7D)
![\Rightarrow -18k =ln (\frac12)](https://tex.z-dn.net/?f=%5CRightarrow%20-18k%20%3Dln%20%28%5Cfrac12%29)
![\Rightarrow -18k= ln1-ln2](https://tex.z-dn.net/?f=%5CRightarrow%20-18k%3D%20ln1-ln2)
![\Rightarrow k= \frac{ln2 }{18}](https://tex.z-dn.net/?f=%5CRightarrow%20k%3D%20%5Cfrac%7Bln2%20%7D%7B18%7D)
Putting the value k in equation (1)
![Ae^{-18\frac{ln2}{18}}=92](https://tex.z-dn.net/?f=Ae%5E%7B-18%5Cfrac%7Bln2%7D%7B18%7D%7D%3D92)
![\Rightarrow A e^{ln2^{-1}}=92](https://tex.z-dn.net/?f=%5CRightarrow%20A%20e%5E%7Bln2%5E%7B-1%7D%7D%3D92)
![\Rightarrow A.2^{-1}=92](https://tex.z-dn.net/?f=%5CRightarrow%20A.2%5E%7B-1%7D%3D92)
![\Rightarrow \frac{A}{2}=92](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7BA%7D%7B2%7D%3D92)
![\Rightarrow A= 92 \times 2](https://tex.z-dn.net/?f=%5CRightarrow%20A%3D%2092%20%5Ctimes%202)
⇒A= 184.
Therefore
, A=184