The rate of change of the linear relationship is -1.
Explanation:
It is given that there is a linear relationship between all these points, these points lie on a straight line.
The equation to find the slope passing through two points
and
is given by

Substituting the points
and
, we get,

Thus, the slope is -1.
Thus, the rate of change of the linear relationship is -1.
Answer:
Uh dude their are no questions??
Step-by-step explanation:
Answer: y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2
Step-by-step explanation:
vertex form is y=a(x-h)^2 + k
here we can see the vertex is (3,0) which is (x,y). Or (h,k) in this case.
so to plug that into vertex form, we now have y=a(x-3)^2 + 0. or just y=a(x-3)^2.
now we need to find "a" which is the leading coefficient. to do that we can plug in the (6,-6) for the x and y parts of the above equation. so we'd have
-6=a(6-3)^2. which goes to -6=a(2)^2 which is -6=4a. divide each side by 4 to get a = -2/3. plug this in for a
the final equation would be y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2
Given:
The volume of water in a tank is modeled by the function

where, x is the number of minutes after the faucet filling the tank is turned on.
To find:
The y-intercept and what does it represent in this context?
Solution:
We have,

Substituting x=0, we get



Therefore, the y-intercept is 2 and it represents the volume of water in a tank before the faucet filling the tank is turned on.