Answer:
x = 6.5
Step-by-step explanation:
By property of intersecting secants outside of circle.

Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2(
)x +
-
- 5
y = (x +
)² -
- 
y = (x +
)² - 
Hence
a =
and b = - 
Where <em>x </em>is the number of books sold, <em>i </em>is income, and <em>c </em>is cost:
<em>c = 4x + 3500 </em> ($4 per book plus the 3500 flat marketing fee)
<em>i = 15x </em>($15 per book)
You are looking for the point where these intersect: the intersection is where the income is equal to the cost, and at any point after that the income is greater than the cost. So, set the equations equal to each other:
<em>4x + 3500 = 15x </em>
subtract 4x from both sides
<em>3500 = 11x</em>
divide both sides by 11
<em>x = 318.181818</em>
So, you would have to sell a minimum of 319 books in order to make a profit.
Answer:
We have - 18 / - 27 = 2 / 3;
- 12 / - 18 = 2 / 3;
-8 / - 12 = 2 / 3;
Then, x / - 8 = 2 / 3 ;
Finally, x = - 16 / 3;
The next terms in that series is - 16 / 3 .
Step-by-step explanation: