X^2 - 5x - 14 = 0
what multiplies to negative 14 and adds to negative 5? -7 and positive 2.
(x - 7) (x + 2) = 0
Lesser x = -2
Greater x = 7
Answer:
700
Step-by-step explanation:
Given:
Daily evening newspapers in 2015 = 389
Percentage decrease from 2000 to 2015 = 46.5%
To find:
Number of newspapers in 2000 = ?
Solution:
Let the number of newspapers in 2000 = 
When 46.5% of the total newspapers in 2000 (
) is subtracted from the total newspapers in 2000 (
), it will be equal to the number of newspapers in 2015.
Making the equation as per the given statement:

Therefore, the answer is:
There were <em>727 </em>newspapers in 2000.
Answer:
P = 2x^3 - 4x^2 - 16x
Step-by-step explanation:
Only 1 step: divide both sides by x
Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
- A piece-wise function is a function which has multiple pieces.
- Each of the pieces have their own restrictions.
- The domain of a function is the set of input, or x, values for which the function is defined.
- The range is the set of all values taken by the function
As the piece
has the domain [-5, 3) and graph of this piece is attached below.
and
has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval
.
i.e.
Domain: [-5, 3) U [3, 7)
Range: ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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Answer:
20 yards
Step-by-step explanation:
Given that:
Two Given polygons are similar :
Ratio of corresponding sides =. 1/6
Perimeter of larger polygon = 120 yards
Perimeter of smaller = p
Since they are similar, and yhe ratio of their sides Given, we use the relation :
(Smaller perimeter / larger perimeter) = (smaller side / larger side)
(p / 120) = (1 /6)
Cross multiply :
6p = 120
p = 120/6
p = 20 yards