Answer:
4(x - 1) = 4x - 4
3x + 6 = 3(x + 2)
Step-by-step explanation:
The first equation is

We simplify to get;

This is not true, therefore this equation has no solution.
The second equation is

Combine like terms:



This has a unique solution.
The 3rd equation is

Group similar terms:

The 4th equation is :


This is always true. The equation has infinite solution.
The 5th equation is:

This also has infinite solution
The 6th equation is

It has a unique solution.
(4x2 – 4x – 7)(x + 3)
(4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3)
4x2(x) – 4x(x) – 7(x) + 4x2(3) – 4x(3) – 7(3)
4x3 – 4x2 – 7x + 12x2 – 12x – 21
4x3 – 4x2 + 12x2 – 7x – 12x – 21
4x3 + 8x2 – 19x – 21
Answer: First option 13
Solution
If ABCD is a rhombus, the diagonals must be perpendicular, then the angle (5x+25)° must be a right angle (90°):
(5x+25)°=90°
5x+25=90
Solving for x: Subtracting 25 both sides of the equation:
5x+25-25=90-25
Subtracting:
5x=65
Dividing both sides of the equation by 5:
5x/5=65/5
Dividing:
x=13
Answer: The value of x must be 13
Answer: No, A and B are not independent events.
∵ it does not satisfy the rule of probability for independent events i.e.
P(A∩B)=P(A).P(B)
Explanation:
Let A be the event that the black dice shows 2 or 5
Let B be the event that the sum of two dice is atleast 7
Sample space of A={
(
}
Sample space of B= {
,
,
}
P(A)= 
⇒P(A)=
⇒P(A)=
Similarly,
P(B)=
⇒ P(B) =
Now for Sample Space of (A∩B)= {
}
So, P(A∩B)= 
Now we apply the formula,
P(A).P(B)=P(A∩B)
×
≠ 
≠ 
∴ The events A and B are not independent events.
Answer:
65
Step-by-step explanation:
A=(D1XD2)/2
10(13)=130
130/2=65