y - 3
g(y) = ------------------
y^2 - 3y + 9
To find the c. v., we must differentiate this function g(y) and set the derivative equal to zero:
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3)
g '(y) = --------------------------------------------
(y^2 - 3y + 9)^2
Note carefully: The denom. has no real roots, so division by zero is not going to be an issue here.
Simplifying the denominator of the derivative,
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3) => y^2 - 3y + 9 - [2y^2 - 3y - 6y + 9], or
-y^2 + 6y
Setting this result = to 0 produces the equation y(-y + 6) = 0, so
y = 0 and y = 6. These are your critical values. You may or may not have max or min at one or the other.
Answer:
-70 is the correct answer
Answer:
$19.26 or $19.
Step-by-step explanation:
Sold DVD for 50% more of the purchase price of $12, so:
12 + 50/100 * (12) = 12 + 6 = 18.
The customer will pay 7% tax on $18.
18 * (1.07) = $19.26
Answer:
The top left.
Step-by-step explanation:
You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.
Answer:
Current debt of Andrea = $7,150
Step-by-step explanation:
Given:
Loan taken by Andrea from bank = $25,850
Amount paid by Andrea to bank = $18,700
Find:
Current debt of Andrea
Computation:
⇒ Current debt of Andrea = Loan taken by Andrea from bank - Amount paid by Andrea to bank
⇒ Current debt of Andrea = 25,850 - 18,700
Current debt of Andrea = $7,150
Note: O information provide about interest.