Answer:
The answer would be option number 2. (a₁ = 8 a(n) = -3a(n)-1)
Step-by-step explanation:
You are multiplying by negative 3 every time and you are starting with the number 8.
Step-by-step explanation:
{(2, -9), (-5, -1), (-6, -3), (-5,7)}
-5 appears twice ( this is not allowed for the function)
Answer:
Length = 225 ft
Width = 150 ft
Step-by-step explanation:
If L is the length and W is the width, then:
900 = 2L + 3W
A = LW
Solve for W in the first equation:
3W = 900 − 2L
W = 300 − ⅔ L
Substitute into the area equation:
A = L (300 − ⅔ L)
A = 300L − ⅔ L²
Use calculus to find dA/dL and set to 0, or use the formula for vertex of a parabola.
Using calculus:
dA/dL = 300 − 4/3 L
0 = 300 − 4/3 L
L = 225
Using vertex formula:
L = -b / (2a)
L = -300 / (-4/3)
L = 225
Find the width:
W = 300 − ⅔ L
W = 150
You got the right answers, but the problem says to assume that the length is greater than the width.
Answer:
19.6
Step-by-step explanation:
The area of the shaded region = Circle's Area - Hexagon's Area
Circle's Area = 6^2 pi = 36pi = 113.1
Hexagon's Area = (6)(sqrt3)(6/2)^2 = 54sqrt3 = 93.5 -->
Circle's Area - Hexagon's Area = 113.1 - 93.5 = 19.6
Answer:
54
Step-by-step explanation:
