We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (<span>Triangle Inequality Theorem)
so
inequality 1
</span>

<span>
inequality 2
</span>

<span>
the answer is
</span>

<span>
</span>
Answer:

Step-by-step explanation:
An equation in the vertex form is written as

Where the point (h, k) is the vertex of the equation.
For an equation in the form
the x coordinate of the vertex is defined as

In this case we have the equation
.
Where

Then the x coordinate of the vertex is:

The y coordinate of the vertex is replacing the value of
in the function

Then the vertex is:

Therefore The encuacion excrita in the form of vertice is:

To find the coefficient a we substitute a point that belongs to the function 
The point (0, -1) belongs to the function. Thus.


<em>Then the written function in the form of vertice is</em>

Answer:
Exponential Growth, 1200(1.15)
Step-by-step explanation:
It is a Growth function because it is "increasing" yearly. The equation is multiplying with 1.15 because when it is increasing, you need to add 1 to the percentage rate.
Answer:
What is the relative frequency of a student choosing the aquarium? Give your
answer as a decimal rounded to the nearest hundredth. (The hundreths place is two
decimal places. For example, .9543 would be rounded to .95)
Step-by-step explanation: