In this equation, we are solving for f. The first thing we have to do is get rid of the denominator, so we have to multiply both sides by 9, which leaves us with 9C=5*(f-32). Then we divide both sides by 5, which is 9/5C=f-32. The last thing we have to do is add 32 to both sides to isolate f, which gives us our final equation of (5/9)C+32=f.
The vertex is 
Explanation:
The equation is 
To find the vertex, we need the equation in the form of 
Dividing each term by 2 in the equation
Now, completing the square by adding and subtracting 1, we get,
The first three terms can be written as 
,
![f(x)=2[(x+1)^{2}+\frac{1}{2} ]](https://tex.z-dn.net/?f=f%28x%29%3D2%5B%28x%2B1%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%20%20%5D)
Multiplying 2 into the bracket, we get,
This equation is of the form
Now, we shall find the vertex 
Thus, 
and 
Thus, the vertex is
Answer:
5.655 m³/min
Step-by-step explanation:
Halfway from the bottom of the tank, the radius is half that at the top, so is 1 m. That means the surface area of the water at that point is ...
A = πr² = π(1 m)² = π m²
The rate of flow of water into the tank is the product of this area and the rate of change of depth:
flow rate = area × (depth rate of change)
= (π m²) × (1.8 m/min) = 1.8π m³/min
flow rate ≈ 5.655 m³/min
Answer:
Quadrant II
Step-by-step explanation:
Quadrant I is ( + , + )
Quadrant II is ( - , + )
Quadrant III is ( - , - )
Quadrant IV is ( + , - )
