For a hyperbola
where
the directrix is the line
and the focus is at (0, c).
Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4
Your hyperbola's constants are ...
a = 3
b = 4
______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
The answer is B because n is equal to the number of notebooks. you can not exceed the amount of money that you have to buy the notebooks
Answer:
If the limit that you want to find is 
then you can use the following proof.
Step-by-step explanation:
Let 
and 
be the given polinomials. Then
Observe that
and
Then
Answer:
Step-by-step explanation:
During the card game, the number of points that Adam scored is x. Imran scored 3 points fewer than Adam. It means that the number of points that Imran scored is
(x - 3) points
I)Shakeel scored twice as many points as imran. It means that the expression for the number of points that Shakeel scored is
2(x - 3) points
Ii) Together they scored 39 points. Therefore, the equation which may be used to find the value of × would be
x + x - 3 + 2(x - 3) = 39
x + x - 3 + 2x - 6 = 39
x + x + 2x - 3 - 6 = 39
4x - 9 = 39
Answer:
1,496 new car buyers
Step-by-step explanation:
The sample size n in Simple Random Sampling is given by
where
z = 1.645 is the critical value for a 90% confidence level (*)
p= 0.33 is the population proportion.
e = 0.02 is the margin of error
so
<em>(*)</em><em>This is a point z such that the area under the Normal curve N(0,1) inside the interval [-z, z] equals 90% = 0.9</em>
It can be obtained in Excel or OpenOffice Calc with
<em>NORMSINV(0.95)</em>
