Answer:
Lori will have
cavity if she brushed for
each night.
Step-by-step explanation:
As the question suggests cavities developed varies inversely with the number of seconds spent on brushing.
Lets take the terms as
,where
is the constant of proportionality.
And
c = Number of cavities developed each year
t = Number of minutes spent on brushing per night
Now we will plugging the values of the given terms and find the value of
,for this we can re-arrange it as...![k=c\times( t)](https://tex.z-dn.net/?f=k%3Dc%5Ctimes%28%20t%29)
and ![c=4](https://tex.z-dn.net/?f=c%3D4)
![k=0.5\times 4=2](https://tex.z-dn.net/?f=k%3D0.5%5Ctimes%204%3D2)
Now as Lori will increase her brushing time so as the cavity will decrease.
So for this we have been given,
and
.
As ![c=\frac{k}{t} =\frac{2}{2} =1](https://tex.z-dn.net/?f=c%3D%5Cfrac%7Bk%7D%7Bt%7D%20%3D%5Cfrac%7B2%7D%7B2%7D%20%3D1)
So as per Paul's observation if Lori brushed for
at night she will have
cavity on that year.
Its R
you can just see in figure as square root of 50 is approximately around 7.07
Answer:
yes you are absolutely right
it will be the answer
Answer:
1) (3,5) is the new point
2) P(-1,-4) U(-5,0) N (-2,1)
Step-by-step explanation:
hope this helps. good luck
Answer:
y=4x
Step-by-step explanation:
First, find the slope
![m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%20%7D%7Bx_%7B2%7D%20-x_%7B1%7D%20%7D)
We know 2 points, (2,8) and (12,48).
(2,8) can be (x1, y1)
(12,48) can be (x2, y2)
We can say that y2 is 48, y1 is 8, x2 is 12, and x1 is 2. Substitute them in
![m=\frac{48-8}{12-2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B48-8%7D%7B12-2%7D)
![m=\frac{40}{10}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B40%7D%7B10%7D)
m=4
Now, we can use the point slope formula, since we have a point and the slope
![y-y_{1} =m(x-x_{1})](https://tex.z-dn.net/?f=y-y_%7B1%7D%20%3Dm%28x-x_%7B1%7D%29)
We know m, the slope is 4. We also know a point (2,8), which is (x1, y1). Substitute them in
y-8=4(x-2)
Distribute the 4
y-8=4*x-2*4
y-8=4x-8
Add 8 to both sides
y=4x