For
y = (x^2 -4)/((x +2)(x^2 -49))
the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving
y = (x -2)/(x^2 -49)
There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.
The horizontal asymptote is y=0.
Answer:
The null hypothesis is: 
The alternative hypothesis is: 
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.
This means that the null hypothesis is:
Could it be that the average tuft strength is above 100 lb?
The world above means that the appropriate alternative hypothesis is:
7.5 ft because
6/30 = .0005 so then x we factor in equals 7.5 for
Answer: Given relation is a function
A relation is said to be a function if no value in its domain is paired up with more than one value in its range.
Since x values represent the Domain of a relation and y values represent the Range of a relation, in terms of x and y we can say:
A relation is said to be a function if an x-value is not paired up with more than one y-value.
From the above table we can see that all the x values are distinct, so no x value is paired with more than one y-value and thus given relation is a function.
