Answer:

And solving we have:


And we can write the expression like this:

The vertex for this case would be:

And the minimum for the function would be 3 and there is no maximum value for the function
Step-by-step explanation:
For this case we have the following equation given:

We can complete the square like this:

And solving we have:


And we can write the expression like this:

The vertex for this case would be:

And the minimum for the function would be 3 and there is no maximum value for the function
The perimeter of the large square is 24 and the area is 36 units
the perimeter of the small squares are 4 and the areas are 1 unit.
All together the perimeter is 29 and the area is 38.
Answer:
Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo
Step-by-step explanation:
Relationships between two variables is proportional if their ratios are equivalent.
In 2010, the school paid $1,260 for 84 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
In 2011, the school paid $1,050 for 70 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
In 2012, the school paid $1,395 for 93 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
As
,
the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.
Answer:
9/20
Step-by-step explanation:
You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5
45/5=9
100/5=20
You get 9/20, and this is in simplest form.
Answer:
Angle B is 41 degrees
Step-by-step explanation:
1) find the supplement of the 113 degree angle; it is 180-113, or 67, degrees.
2) recognizing that the sum of the interior angles of a triangle is 180 degrees, add up 67 and 72 degrees, obtaining 139 degrees, and subtract this sum from 180 degrees:
180 degrees - 139 degrees = 41 degrees (answer)
The steps are outlined above; the end result is that <B is 41 degrees.