I think this is right x+5z+5
Answer:
It is a singular matrix system.
Step-by-step explanation:
A column of all zeros in a matrices says that the variable associated with that column has no effect on the output.
For example If the first column of a matrix consists of zeros, this means that the coefficient of the first variable is zero in every equation in the system . This means that if there is any solution at all, then there must be an infinite number of them, since you can set that first variable to any value at all and still satisfy all of the equations.
Answer:
-45/8
Step-by-step explanation:
Answer:
maximum value at (5, 9 )
Step-by-step explanation:
The vertex is the point on the graph where it goes from an increasing function to a decreasing function as x increases from left to right.
vertex = (5, 9 )
Since the function increases to the vertex then turns at the vertex and decreases.
It reaches a maximum value at the vertex of y = 9
Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
