Answer:
A. CONSISTENT; INDEPENDENT
Step-by-step explanation:
We say a system of equations is inconsistent when the system has no solutions. In two variable case, the lines are parallel.
The system of equations is consistent when the system has solutions. The solutions could be unique or there could be infinite of them.
When the solution is unique, we call it an Independent Consistent system.
If the equations are constant multiples of each other then they have infinite solutions and such a system is called as Consistent Dependent system.
The given equations are:
Solving for and
, we have:
and
.
We see that the system has a unique solution. So it should be Consistent and Independent.
9514 1404 393
Answer:
x = -3/2
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero:
x = -4, x = 1
The axis of symmetry is the vertical line halfway between these zeros.
x = (-4 +1)/2 = -3/2
The equation of the axis of symmetry is x = -3/2.
Answer: y = -4/3x + 0. Yes, that point lies on the line
Step-by-step explanation:
Use this equation, Δy/Δx and this one, y = mx + b. Or, change in the y value divided by the change in the x value.
-4 + 8 = 4
3 - 6 = -3
The slope, m, is -4/3. Now solve for b by plugging in the slope.
. B is equal to 0
To see if that point lies on the function, plug it in the equation and see if it is true. Multiply -4 x -3 to get 12, divide by 3 to get 4, then add 0. The equation says that 4 = 4, which is infact true