Answer:
H(x) is less than f(xl
Step-by-step explanation:
Whether f(x)=3 or -4, h(x)'s value will always be less than f(x).
Answer:
Step-by-step explanation:
x +3 I x⁴ + 0x³ - 6x² + 0x -28 I x³ - 3x² + 3x - 9
x⁴ + 3x³
<u>- - </u>
-3x³ - 6x²
-3x³ - 9x²
<u> + + </u>
3x² + 0x
3x² + 9x
<u> - - </u>
-9x -28
-9x - 27
<u> + + </u>
-1
P(x) =(x +3)* (x³ - 3x² + 3x - 9) + (-1)
Answer:
-1.6
Step-by-step explanation:
4 + 10x = -12
10x = -12 -4
x= -1.6
Area is equal to length times width. The perimeter (the amount of rope) has to equal twice the length added to twice the width so we're left with:
A = l * w
200 = 2l + 2w
solve for either l or w
l = 100 - w
plug into the area equation to get one equation with two variables
A = w(100 - w)
A = -w^2 + 100w
take the derivative
A' = -2w + 100
set the derivative equal to zero
0 = -2w + 100
2w = 100
w = 50
This is the width that maximizes the area
with a width of 50, the length must also be 50 to have a perimeter of 200
therefore, they can rope up to 50 * 50 = 2500 ft^2
