Answer:the 2nd row, x=0, f(x)=2
Step-by-step explanation:
When x=0, the line touches the y-axis because the f(x) has a value. therefore when x=0, y=2
you'll understand better if you sketch it out
Answer:
Constant of proportionality: ![k=3](https://tex.z-dn.net/?f=k%3D3)
Equation: ![c=3d](https://tex.z-dn.net/?f=c%3D3d)
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:
![c=kd](https://tex.z-dn.net/?f=c%3Dkd)
Then, the first step is to find the Constant of proportionality "k".
Knowing that:
![c=24;d=8](https://tex.z-dn.net/?f=c%3D24%3Bd%3D8)
We can substitute values into the equation:
![24=k(8)](https://tex.z-dn.net/?f=24%3Dk%288%29)
Now, solving for "k", we get:
![\frac{24}{8}=k\\\\k=3](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B8%7D%3Dk%5C%5C%5C%5Ck%3D3)
Therefore, we can write the following equation that represents that proportional relationship:
![c=3d](https://tex.z-dn.net/?f=c%3D3d)
Her total distance (so 265 miles) over the number of hours she drives will give miles per hour.
265miles/5hours=53 miles/hour
Answer:
Parallel
Step-by-step explanation:
they have the same slopes
Answer:
f = - ![\frac{19}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B7%7D)
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
-
= k
f = -
m ← equation of variation
When m = 2 , then
f = -
× 2 = - ![\frac{19}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B7%7D)