Answer:
Simplify the expression 3: 5
a
^3
−
6
a
?
−
8
a
+
8
Simplify the expression 4: 10
y
^2
−
11
y
−
25
This is a system of equations. The first equation represents the tank being emptied and the second equation represents the tank being filled:
k = -10t + 528
k = 14t
To solve this system of equations, we will use substitution. The second equation says that k is equal to 14t, so we can substitute 14t for k in the first equation.
14t = -10t + 528
24t = 528
t = 22
Now that we have t, we can use it to find k by plugging it in to the second equation:
k = 14(22)
k = 308
So, it will take 22 minutes for both tanks to hold equal amounts of water. They will each hold 308 kiloliters.
f(x)=0
Domain are the set of x values
f(x)=0 , we find all the x values where y =0
At x intercepts y is always 0
so we find all the x intercepts.
x intercepts are the points where the graph crosses x axis
In the graph we can see that the graph crosses x axis at
-2.5 , -0.75 and 1
-2.5 , -0.75 and 1 are the domain where f(x)=0
The slope of line A is m= 1/3
A = π*r^2
r = √(A/π) = √(45/π) ≈ 3.78
The radius is approximately 4 inches.
