Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Step-by-step explanation:
S=9
E=2,6,8,10,12
Both 4
The rest place out of circles 1,3,5,7,11
Answer:
Slope: -45
Y-intercept: -2
Step-by-step explanation:
The expression is written in slope-intercept form or y=mx+b.
mx is the slope and b is the slope intercept
Answer:
87.9
Step-by-step explanation:
Use a calculator or table to find the z-score that corresponds to 25%.
P(Z < z) = 0.25
z = -0.675
Now find the value that corresponds to that z score.
z = (x − μ) / σ
-0.675 = (x − 101.3) / 19.9
x = 87.9
Yes that is a function because there is No numbers repeating.
