Answer:g(f(x))= x^2 +6x+5
Step-by-step explanation:
g(f(x))= x^2 -4
g(f(x))= (x+3)^2 -4
g(f(x))= (x+3)(x+3) -4
g(f(x))= x^2 +6x+9-4
g(f(x))= x^2 +6x+5
Answer:
366
starts at 9, jumps by 7 each time.
so it's 9 plus 7 times the number if remaining jumps.
51x7= 357
add the origiinal 9, and you get 366
Answer:
The possible length is greater than 29 meters.
Step-by-step explanation:
If the length is x then the width is x - 2 m.
So the perimeter is 2x + 2(x - 2) = 4x - 4 m.
4x - 4 > 112
4x > 116
x > 29 m.
The first relation gives two y-values for any given x-value (except x=6).
y² +x = 6 . . . . . is not a function
Answer:
Answers provided below
Step-by-step explanation:
From the simultaneous linear equation, we have the coefficient matrix as;
(3 4 5)
(2 -1 8)
(5 -2 7)
The x-matrix is Dx is given by;
(18 4 5)
(13 -1 8)
(20 -2 7)
Similarly, the y-matrix Dy is given by;
(3 18 5)
(2 13 8)
(5 -20 7)
Also,the z-matrix Dz is given by;
(3 4 18)
(2 -1 13)
(5 -2 -20)
Determinant of the coefficient matrix from online determinant calculator is;
D = 136
Determinant of the x-matrix from online determinant calculator is; Dx = 92
Determinant of the y-matrix from online determinant calculator is; Dy = 696
Determinant of the z-matrix from online determinant calculator is; Dz = 576
From crammers rule;
x = Dx/D = 92/136
y = Dy/D = 696/136
z = Dz/D = 576/136
