Answer:
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Answer:
a) Function A(x) = (60*x - 1/2*x²)
b)Side length x = 60 m the other side y = 30 m
c) A (max) = 1800 m²
Step-by-step explanation:
Area of rectangular garden with length " x " and wide "y"
A = x*y
Perimeter of rectangular area ( only three sides 2*y and 1*x)
P(r) = 2*y + x
P(r) = 120 = 2*y + x
y = ( 120 - x ) /2
Area of the garden as function of x is
A(x) = [( 120 - x ) /2]*x ⇒ A(x) = (60*x - 1/2*x²)
Taking derivatives on both sides of the equation:
A´(x) = 60 - x
A´(x) = 0 60 - x = 0
x = 60 m
Then
y = ( 120 - x ) / 2 ⇒ y = (120 - 60 )/2
y = 30 m
A(max) = 30 * 60
A(max) = 1800 m²
Answer:
-x+2
Step-by-step explanation:
That's as far as i can simplify it
hope it helps:)
Answer:
6
Step-by-step explanation:
Count the points, it's hard to explain through the internet
Hey there!
The answer is 
To solve this we use subtraction, because "the difference" represents subtraction, so:

Now, we must find a common denominator, and we can see that
and
both go into
. To get to
, we multiplied the first fraction by 5 and the second by 6, so we now have:

This is equal to 
Hope it helps and have a great day!