Answer:
(a)$4954
(b)$10
(c)The company should not produce the 101st item.
Step-by-step explanation:
(a)

(b)If C'(50) = 27 and R'(50) =37
- Cost will increase by $27
- Revenue will increase by $37
Therefore, the profit earned on the 51st item

=37-27
=$10
(c)If C'(100) = 41 and R'(100) =37
- Cost will increase by $41
- Revenue will increase by $37
Therefore, the profit earned on the 101st item
Profit 
=37-41
=-$4
The company should not produce the 101st item. It would lose $4 if it does.
Hey!!
4x²-0x-9
=(2x)²-(3)²
=(2x-3)(2x+3)
so option B
Answer:22
Step-by-step explanation: the smallest the other two can be is 1 so you have to multiply 8 with 3, that equals 24, then you have to subtract 2 (1+1) and that gives you 22.
A)
y=2^x
4^x=2^(2x)=y²
solution:
y=2^x hence y²=4^x
chek:
x=5 ⇒ y=2⁵=32
4⁵=1024
y₂=32²=1024
b)
8(4^x)-9(2^x)+1=0
8(2^(2x)-9(2^x)+1=0
2^x=t
8t²-9t+1=0
We solve the quadratic.
t₁=1/8 ⇒2^x=1/8
2^x=1/2³
2^x=2⁻³
x=-3
t₂=1 ⇒ 2^x=1 ⇒x=0
Solutions:
x=-3
x=0
The formula to calculate work done is -
Work done ( in joule, J) = Force (in Newton) X Distance (in meters)
So, we will use the formula to calculate work done,
Here, force is given as = 7 newtons
Distance is given as = 3 meters
So, work done will be -
Work done ( in joule, J) = 7 Newtons X 3 Meters
<u>Work done ( in joule, J) = 21 J (in joule)</u>