For this case we have the following expression:
(x + 7) / (x ^ 2 - x - 2) = A / (x - 2) + B / (x + 1)
Rewriting we have:
(x + 7) / ((x-2) (x + 1)) = A / (x - 2) + B / (x + 1)
We multiply the equality by (x-2) (x + 1):
x + 7 = A (x + 1) + B (x - 2)
Rewriting we have the following system of equations:
A + B = 1
A - 2B = 7
Solving the system we have:
A = 3
B = -2
Answer:
constants A and B are:
A = 3
B = -2
Responder:
la solución (x, y, z) es (4.48, 4.86, -1.04)
Explicación paso a paso:
Dadas las ecuaciones simultáneas;
6X + 8Y - 4Z = 5 .... 1
1X + 2Y + 5Z = 9 ... 2
9X - 3Y + 3Z = 6 .... 3
Primero necesitamos reducir el sistema de ecuaciones
Ecuación 1 * 1
Ecuación 2 * 4
__________
6X + 8Y - 4Z = 5
4X + 8Y + 20Z = 36
Restar
6x-4x - 4z-20z = 5-36
2x-24z = 31 ... 4
también
ecuación 2 * 3
ecuación 3 * 2
_______________
1X + 2Y + 5Z = 9 * 3
9X - 3Y + 3Z = 6 * 2
_______________
3x + 6y + 15z = 27
18x - 6 años + 6z = 12
Agregar
3x + 18x + 15z + 6z = 27 + 12
21x + 21z = 39 ...... 5
Resolviendo 4 y 5
2x-24z = 31 ... 4 * 21
21x + 21z = 39 ...... 5 * 2
____________
42x - 504z = 651
42x + 42z = 78
Sustraer
-504x - 42z = 651-78
-546z = 573
z = -573/546
z = -1.05
Sustituye z = -1.05 en 4
De 4;
2x-21z = 31
2x - 21 (-1,05) = 31
2x + 22,04 = 31
2x = 31-22.04
2x = 8,96
x = 8,96 / 2
x = 4,48
Obtener y
De 2:
X + 2Y + 5Z = 9
4.48 + 2y + 5 (-1.04) = 9
2 años + 4,48-5,2 = 9
2y = 9 + 0,72
2 años = 9,72
y = 9,72 / 2
y = 4,86
Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)
For a relation to be function, every x value should have its unique image in co-domain. If x is related to more than one y value, then that relation is not a function
In 1, as you can see, 1 related to -7 as well as 8. Which means 1 has two images viz. -7 and 8. But for a relation to be function, x should have only one image. Thus, it is not a function.
The worst is the 4th one in which -2 has 4 images.
Therefore, only relation B is a function.
The slope of the equation is 1/2
Given data:
The total numbers of books are n=9.
The
