Answer:
5
Step-by-step explanation:
xy-5
plug in 5 for x and 2 for y
5*2-5
multiply
10-5
subtract
5
Answer:
Step-by-step explanation:don’t kno
Answer:
g(x) = x^2 -6x +9
Step-by-step explanation:
A function f(x) translated right h units and up k units will become ...
g(x) = f(x -h) +k
You want the function f(x) = x^2 to be translated right h=3 units, so it will become ...
g(x) = f(x -3) = (x -3)^2
g(x) = x^2 -6x +9
Answer:
![R'(20) = 2000](https://tex.z-dn.net/?f=R%27%2820%29%20%3D%202000)
Step-by-step explanation:
We are given the following in the question:
Quantity, q
Selling price in dollars per yard, p
![q=f(p)](https://tex.z-dn.net/?f=q%3Df%28p%29)
Total revenue earned =
![R(p)=pf(p)](https://tex.z-dn.net/?f=R%28p%29%3Dpf%28p%29)
f(20)=13000
This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.
f′(20)=−550
This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.
We have to find R'(20)
Differentiating the above expression, we have,
![R'(p) = \displaystyle\frac{d(R(p))}{dp} = \frac{d(pf(p))}{dp} = f(p) + pf'(p)](https://tex.z-dn.net/?f=R%27%28p%29%20%3D%20%5Cdisplaystyle%5Cfrac%7Bd%28R%28p%29%29%7D%7Bdp%7D%20%3D%20%5Cfrac%7Bd%28pf%28p%29%29%7D%7Bdp%7D%20%3D%20f%28p%29%20%2B%20pf%27%28p%29)
Putting the values, we get,
![R'(p) = f(p) + pf'(p)\\\\R'(20) = f(20) + 20(f'(20))\\\\R'(20) = 13000 + 20(-550) = 2000](https://tex.z-dn.net/?f=R%27%28p%29%20%3D%20f%28p%29%20%2B%20pf%27%28p%29%5C%5C%5C%5CR%27%2820%29%20%3D%20f%2820%29%20%2B%2020%28f%27%2820%29%29%5C%5C%5C%5CR%27%2820%29%20%3D%2013000%20%2B%2020%28-550%29%20%3D%202000)
Statement A is correct.
7.99m is the unit rate for how much you will pay for each pound of meat.
5.99c is the unit rate for how much you will pay for each pound of cheese.