You said -x + 8 > 6
Subtract 8 from each side: -x > -2
Add 'x' to each side: 0 > -2 + x
Add 2 to each side: 2 > x
Now, test the choices:
A). Can 'x' be 4 ?
No. 2 is not greater than 4 .
B). Can 'x' be 1 ?
Yes. 2 is greater than 1 .
C). Can 'x' be 2 ?
No. 2 is not greater than 2 .
D). Can 'x' be 15 ?
No. 2 is not greater than 15 .
Given:
The cost function is
The revenue function is
To find:
The marginal cost, marginal revenue, and marginal profit functions.
Solution:
We know that,
The marginal cost, marginal revenue, and marginal profit functions are the derivatives of cost, revenue and profit functions respectively.
Marginal cost function is
Marginal revenue function is
Marginal profit function is
Therefore, the marginal cost, marginal revenue, and marginal profit functions are , and respectively.
The probability is 5/343.
Given :8 floors and 4 passengers.
Passengers will be assumed to start on the first floor, where everyone goes up, and each passenger only gets off on the 2nd floor (no one gets off on the 1st floor!)
Now we need to find the number of all ordered lists of four numbers out of seven, eg 2<3<7<8, 3<6<7<8, 4<5<6o<8, etc.
This can be done in 7C4 ways.
The total numbers of ways 4 passengers can get off at 7 floors (starting at the 2nd!) is .
Therefore the probability is =
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Step-by-step explanation:
If the polynomial is rational, then one of zeros is 3 + 2i.
We are also given f(x) is decreasing function, it means the leading coefficient is negative.
<u>The factors would be:</u>
- f(x) = - (x - 7)(x - (3 - 2i))(x - (3 + 2i)
or
- f(x) = - (x - 7)(x - 3+ 2i)(x - 3 - 2i)
Answer:
The percentage change from 2.675.25 to 3.750.25 is 40.19 %
Step-by-step explanation:
((3.750.25 - 2.675.25) / 2.675.25) * 100 = 40.19 %