Answer:
<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>
Step-by-step explanation:
<u>Maximization Using Derivatives</u>
The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.
Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:

And the perimeter is

We know the perimeter is 182, thus

Simplifying

Solving for y

The area is

Taking the derivative:

Equating to 0

Solving

Finding y

The largest rectangle of perimeter 182 is a square of side 45.5
Answer:
x ≥ - 2.
Step-by-step explanation:
We have to solve the compound inequality.
It is 15 ≥ - 3x or x ≥ - 2
Now, from the first part we have
15 ≥ -3x
⇒
⇒ - 5 ≤ x
⇒ x ≥ - 5 ....... (1)
And the second part is x ≥ -2 ......... (2)
Therefore, the conditions (1) and (2) will both be true if x ≥ - 2.
Hence, this is the solution. (Answer)
D) 736
8 exams = 92.000
(8)x/8 = 92.000(8)
x = 736
736
It is a translation of fx by 5 to the right