Answer:
2 pieces, 30ft each
Step-by-step explanation:
rope : 60ft long
we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:
if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.
Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
Answer:
-9/7
Step-by-step explanation:
To find the slope given 2 points, we use the formula
m = (y2-y1)/(x2-x1)
where (x1,y2) and (x2,y2) are the two points
m = (-3-6)/(5--2)
m = (-3-6)/(5+2)
= -9/7
Answer:
A
Step-by-step explanation:
X^2 + 6X + 8 =3
TRANSPOSE 3 TO LEFT
X^2 + 6X + 8 - 3 = 0
CALCULATE
X^2 + 6 X + 5 = 0
Answer:
i
Step-by-step explanation:
square root of -1 is i
