Step-by-step explanation:
this is inverse variation
the function is
xy = 128
=> y = 128/x
Answer:
The equation is:
y= -2x + 3
Step-by-step explanation:
There are two ways to solve this:
You could do very long algebra but you could also just plug in your information and make life easy for yourself.
Start of by plugging in your slope into the equation. (due to y=mx+b, m= slope=-2)
y= -2x + _
Then plug in the co-ordinates give.
(1) = -2(1) + z
Then solve for z
1 = -2 +z
+2 +2
z= 3
Then plug all your information in to get
y= -2x +3
Answer:
Pipe Q
Step-by-step explanation:
Two pipes p and Q fill a water tank. Each pipe fills the tank with water at a constant rate. Pipe P fills the tank with 20 gallons of water in 4 minutes. The equation in equals n = 6t shows the number of gallons of water n with which pipe Q fills the tank in t minutes. Which pipe fills the tank with more water each minute and by how much
Solution:
Pipe P fills the tank with 20 gallons of water in 4 minutes. If n represent the number of gallons of water that fills the tank in t minutes, then for pipe P:
n = 20 gallons / 4 minutes *t
n = 5t
Also, the number of gallons of water that fills the tank in t minutes for pipe Q is given by:
n = 6t
Since the rate at which pipe Q fills the tank (i.e. 6t) is greater than the rate at which pie P fills the tank (i.e. 5t), hence Pipe P fills the tank with more water each minute by 6 gallons while pipe P fills by 5 gallons each minute.
Plug in 0
7+(-4(0)^2)
7+(0)^2
7+0=7
