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
5^4 /5
Use the exponent rule x^a/x^b = x^a-b
5^4/5 = 5^4-1 = 5^3
Answer as a positive exponent is 5^3
Answer:
1:1
Step-by-step explanation:
w = f, which means the amount of water equals the amount of flour.
Answer:
Yes-
Step-by-step explanation:
It repeats .121212 infinitely... I assume. You didn't say if it repeated or not.
Answer:
f(x) = 0.85x
g(x) = 0.85x - 100
Step-by-step explanation:
Given that :
Sale price = 15% off the item price
Let original price = x
Hence, sale price = (100 - 15)%
Let the sale price function = f(x)
f(x) = 0.85x
Where, x = price before 15% off
Customer also has a coupon discount of 100 pesos
Let coupon discount price = g(x)
g(x) = f(x) - 100
Hence,
g(x) = 0.85x - 100
x = price before 15% off
