x = 4
A line with an undefined slope is a vertical line parallel to the y-axis and passing through all points with the same x-coordinate. For this reason it's equation is x = c where c is the value of the x-coordinate it passes through.
line passes through (4, 3 )
Hence equation is x = 4
Answer:
C
Step-by-step explanation:
We can first move the variables to one side.
We can do this by subtracting 6x from both sides.
12x^2-6x=0
Now, we can factor out 6x.
6x(2x-1)=0
Since it equals 0, we know that 2x-1=0, or 6x=0.
This is because when ab=0, either a or b must equal 0.
So we can set both of these equal to 0 to solve.
6x=0
Divide both sides by 6.
x=0
2x-1=0
Add 1 to both sides.
2x=1
Divide both sides by 2.
x=1/2
Answer: The equation is given by: 9- 1/3x = 7
Step-by-step explanation:
Let the number be denoted by x.
Now, we are given a word phrase as follows one-third of a number less than nine is equal to seven.
Now this word phrase could be mathematically expressed as a equation by: one third of x is 1/3 x
And this number less than 9 is given by :
9- 1/3x
Now, this number is equal to 7.
I.e. we finally have:
9- 1/3x = 7
Answer:
The null hypothesis is 
.
The alternative hypothesis is 
Step-by-step explanation:
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.
At the null hypothesis, we test if the mean is of 2.5 years, that is:
A study was then done to see if the mean time has increased in the new century.
At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So
