Answer:
Standard form of

Step-by-step explanation:
Here, the given expression is 
Now, simplifying the above expression in parts, we get

hence, combining both parts:


= 
The above expression is of the STANDARD FORM: 
Hence, the standard form of

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (- infinity, infinity)
Range: (- infinity, -2)
Start by writing the system down, I will use
to represent 

Substitute the fact that
into the first equation to get,

Simplify into a quadratic form (
),

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

which then must factor into

And the solutions will be
.
Clearly for small coefficients like ours
, this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as
and
.
So as mentioned, solutions will equal to
but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are
and
.
Hope this helps :)
The total time taken to cover 12 miles distance is 5 hours.
<u>Given the Parameters</u> :
- Total distance hiked = 12 miles
Recall :
Let :
<u>We could create an equation thus</u> :
Total distance = 3(2) + 2(t - 2)
12 = 6 + 2t - 4
12 = 2 + 2t
12 - 2 = 2t
10 = 2t
t = 10/2
t = 5
Therefore, the total time taken is 5 hours
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