Answer:
Step-by-step explanation:
x²-bx-22=0
put x=4
4²-4b-22=0
16-4b-22=0
-4b-6=0
2b+3=0
b=-3/2
x²-3/2x-22=0
2x²-3x-44=0
2x²-11x+8x-44=0
x(2x-11)-4(2x-11)=0
(2x-11)(x-4)
roots are 11/2,4
Answer:
1 inches per cube
As required.
Step-by-step explanation:
Solution:
Given:
Volume = l3
dV / dt = 3 l2dl / dt
dv / dt = 0.5 inches cubed / hour
Surface area = 6 l2
Differentiate with respect to t: s = 6 l2
We get:
ds / dt = 12 l dl / dt
and dv / dt = = 0.5 inches cubed / hour
we know that:
dv / dt = 20 = 3 l2dl / dt
0.5 = 3 l2 (dl / dv)(dv / dt)
0.5 = 3l2 dl / dt
0.5 / 3l2 = dl / dt
Put 0.5 / 3l2 = dl / dt in eq ds / dt = 12 l dl / dt
ds / dt = 12 l (0.5 / 3l2)
= 4(0.5) / l
= 2 / 2 inches pr cube [ l = 2 inches per cube]
= 1 inches per cube
As required.
-32/21 I'm pretty sure this is the answer
Answer:
8 1/8 units^3
Step-by-step explanation:
This figure is a rectangular prism, and the volume of a rectangular prism is given by the formula:
lwh
But since we have the area of the base snd the height of the figure, there is also one formula that we can use to find the volume:
bh
Which means area of base times the height.
USE THE FORMULA bh:
16 1/4 x 1/2
= 65/4 x 1/2
= 65/8
SIMPLIFIED: 8 1/8
Volume is measured in cubic units
SO YOUR ANSWER IS 8 1/8 units^3
