The slope: m = -1/4
3 = -1/4 · 2 + b
3 = -2 + b
b = 5
Answer:
y = -1/4 x + 5
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
Answer: Marginal cost = $46
The cost of production increases by about $46 when one additional unit is produced.
Step-by-step explanation:
Given : The cost to produce q items is dollars.
The marginal cost of producing the 12th item= C(12)-C(11)
=1588-1542=46
Interpretation : It means , the cost of production increases by about $46 when one additional unit is produced.
Answer:
6.9
Step-by-step explanation:
If you have a calculator, you can do this easily.
Round the Decimal to the tenths place, and you get 6.9.