The domain of the function given above is the value of w that would make it reasonable. Among the numbers, w cannot be zero because that would make the fraction 70/0 undefined. So the domain of the function is from negative infinity to positive infinity but not zero.
Answer:
C:(-1,2)
Step-by-step explanation:
This is a system of linear equations and can be solved by elimination method.
Step 1
A=8x-6y=-20
B=-16x+7y=30
Multiply equation A by 7 and equation B by -6
7A=56x-42y=-140
-6B=96x-42y=-180
Step 2
Eliminate the term that has y by subtracting each term in equation A from each corresponding term in equation B
40x=-40
Step 3
Divide both sides of the equation by 40, the coefficient of x in order to find the value of x
40x/40=-40/40
x=-1
Step 4
Put x=-1 in equation B
B=-16x+7y=30
-16(-1)+7y=30
16+7y=30
Step 5
Collect like terms by subtracting 16 from both sides
16+7y-16=30-16
7y=14
Step 6
Divide both sides of the equation by 7, the coefficient of y
7y/7=14/7
y=2
Therefore, the solution to the system of equations is
(-1, 2)
Total number of seats = 5
Total number of friends = 5
We want to find in how many ways the 5 friends can sit or be arranged in 5 seats. This can be found using permutations.So we are to find the permutations of 5 objects taken 5 at a time. This can be expressed as 5P5.
5P5 = 120
So, the 5 friends can sit in 120 different ways.
The correct answer is option D
Answer:
1/6
Step-by-step explanation:
total no of out comes= 6
favourable out comes= 1
:. prob( getting 4)=1/6