Answer:
−
3
x
=
15 Divide each term in −
3
x
=
15 by -
3
.
−
3
x
−
3
+15
=−
3
Cancel the common factor of −
3
.
Cancel the common factor.
−
3
x
−
3
=
15
−
3
Divide x
by 1
.
x
=
15
−
3 by −
3
.
x
=
−
5
Answer:
x = -5, y = -6, z = -3
Step-by-step explanation:
Given the system of three equations:
Write the augmented matrix for the system of equations
Find the reduced row-echelon form of the augmented matrix for the system of equations:
Thus, the system of three equations is
From the last equation:
Substitute it into the second equation:
Substitute y = -6 and z = -3 into the first equation:
Answer:
65 gallons per minute
Step-by-step explanation:
The total volume of the tank at any given time is given by the equation:
V(t) = 65t + 280
In order to find the rate of change of volume, we can simply differentiate this equation with respect to time. This will give us the rate of change of the volume or the rate at which water is being pumped into the tank.
Differentiating the above equation we get:
V'(t) = 65
So we can see that the rate at which water is being pumped into the tank is 65 gallons per minute
A. 2(3)+7
product is multiplication
increased is addition
