Answer:
(k-h)(x) = 4x - 8
Step-by-step explanation:
We know Profit = Revenue - Cost
Basically we gotta subtract cost function from revenue function and get the profit function.
The cost function is h(x) = 5x + 6
The revenue function is k(x) = 9x - 2
Hence, Profit is:
(k-h)(x) = (9x - 2) - (5x + 6)
(k-h)(x) = 9x -2 - 5x - 6
(k-h)(x) = 4x - 8
Solve for x over the real numbers:
x^2 - 4 x = 5
Subtract 5 from both sides:
x^2 - 4 x - 5 = 0
x = (4 ± sqrt((-4)^2 - 4 (-5)))/2 = (4 ± sqrt(16 + 20))/2 = (4 ± sqrt(36))/2:
x = (4 + sqrt(36))/2 or x = (4 - sqrt(36))/2
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (4 + 6)/2 or x = (4 - 6)/2
(4 + 6)/2 = 10/2 = 5:
x = 5 or x = (4 - 6)/2
(4 - 6)/2 = -2/2 = -1:
Answer: x = 5 or x = -1
To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.
18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)
Answer:
a. f(n+1) = f(n) + 20
Step-by-step explanation:
The second hour, f(2) = 130 is the wage of the first hour f(1) = 110, plus 20.
_____
You have to look at the answers and understand what they mean. (This can be difficult when they are nonsense, as here.)
b — means each successive hour of pay is 110 more than the previous one. Clearly that is not the case for the sequence given
c — equates 0 to 20, total nonsense
d — equates 0 to 110, also total nonsense
Answer:
The mean should be 80.5. This means the average number of test scores is 80.5. The mean absolute deviation should be 15.5. This means the average of the values are less than the mean by about 15.5.
