Answer:
-1/25
Step-by-step explanation:
Answer:
If the second person's pay is 891, then the 5th should be 1002.
Answer:
The school would have to give $300 and each side would be 100cm
Step-by-step explanation:
(4x - 8)cm = Side length
Solve for X
3(4x - 8) = 300
(Getting rid of the three)
(12x -24) = 300
(Getting rid of the 24)
(12x) = 324
(Getting rid of the 12)
(12x/12) = 324/12
X = 27
27 x 4
Side length = (108 - 8)
108 - 8 = 100cm
100 x 3 = 300cm (1cm = $1)
$300
Each Side would be 100cm
Answer:
a = 2, b = -9, c = 3
Step-by-step explanation:
Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:
(-1,14)
14 = a*(-1)^2 + b*(-1) + c
(2,-7)
-7 = a*2^2 + b*2 + c
(5, 8)
8 = a*5^2 + b*5 + c
Rearranging:
a - b + c = 14
4*a + 2*b + c = -7
25*a + 5*b + c = 8
This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:
A =
1 -1 1
4 2 1
25 5 1
x =
a
b
c
b =
14
-7
8
Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:
inv(A) =
0.055555556 -0.111111111 0.055555556
-0.388888889 0.444444444 -0.055555556
0.555555556 0.555555556 -0.111111111
inv(A)*b
2
-9
3
So, a = 2, b = -9, c = 3
