Answer: 
Step-by-step explanation:
Given the quadratic equation
, you need to factor it.
In order to find the form asked of the given equation, you need to factor out the common factor of the terms.
You can observe that the common factor of the terms of the equation is: 
Now, knowing this, you must factor out
. Then you get the following form:

Therefore, the factored fom of the equation
is:

Answer:
5 years
Step-by-step explanation:
Step one:
Given Information
Principal= $34,000
rate = 4.8%
SImple interest = $8,160
Required
The time T of the investment
Step two:
the expression for simple interest is

substitute

cross multiply we have

divide both sides by 163200

Answer:
$1.25 per hot dog
Step-by-step explanation:
Answer:
∠AEC = 139°
Step-by-step explanation:
Since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AED = ∠AEB + ∠BEC + ∠CED = 180 ← straight angle
Substitute values into the equation
11x - 12 + 4x + 1 + 4x + 1 = 180, that is
19x - 10 = 180 ( add 10 to both sides )
19x = 190 ( divide both sides by 19 )
x = 10
Hence
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11, hence
∠AEC = (15 × 10) - 11 = 150 - 11 = 139°