This graph shifted down 4 units would be y = x^2 - 2.
Different shifts in standard graphs each have to be done in their own way. Shifting up and down is done by manipulating the y-intercept, which is the number at the end of the equation. Since we started at +2 and it is going down 4, it brings us to -2.
Answer:
We need a sample size of at least 1161.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error for the interval is:
For this problem, we have that:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
How large a sample should she take?
We need a sample size of at least n.
n is found when 
So
Rounding up
We need a sample size of at least 1161.
Y = 7(15 + x) Use the Distributive Property
Y = 105 + x Subtract 105 from both sides
Y - 105 = x Switch the sides to make it easier to read
x = Y - 105
Answer:
Yes. This is a proportional relationship.
Step-by-step explanation:
I don't know if you mean "Does the table represent a proportional relationship?" If you do, then the answer is yes it does.
When a linear function contains 0,0 then the relationship is proportional.
If the y intercept is anything but 0, then the relationship is not proportional either.
