Two membership levels are offered at a local bookstore. how many books need to be purchased from each membership so that the 2 m
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Answers:
1) 27 is the same as multiplying three times three times three:
(1)
Now, the cube root of 27 can be written as:
(2)
Knowing the information given by (1) we can rewrite (2) as:
Applying the rule of exponents with the same base, which in this case is 3:
Finally:
2) We have the following expression:
That can be factored by taking the common factor, which in this case is 8:
Then:
We have the equation
Let's complete the square, to do it let's add and subtract 25 on the right side
Now we can have y in function of x
Now we can already identify the vertex because it's in the vertex form:
Where the vertex is
As we can see, h = 5 and k = -2, then the vertex is
Now we can continue and find the focus, the focus is
We have a = 1/20, therefore
The focus is
And the last one, the directrix, it's
Then
Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7