Answer:
a₆ = 96
Step-by-step explanation:
assuming you mean find a₆
using the recursive rule and a₁ = 3 , then
a₂ 2a₁ = 2 × 3 = 6
a₃ = 2a₂ = 2 × 6 = 12
a₄ = 2a₃ = 2 × 12 = 24
a₅ = 2a₄ = 2 × 24 = 48
a₆ = 2a₅ = 2 × 48 = 96
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:
-4x + y + 6z
Step-by-step explanation:
2x + 5y - z + (-6x - 4y + 7z) < distribute positive 1 to (-6x - 4y + 7z)
2x + 5y - z - 6x - 4y + 7z < combine like terms to get the answer
2x - 6x = -4x
5y - 4y = y
-z + 7z = 6z
our new expression is:
-4x + y + 6z we cannot simplify this any further, so this is our answer
The old rate of pay is x and the new rate is y then we have:
y = 2x + 7
Y = 21
PART 1: 21 = 2x+7
Subtract 7 from each side:
14 = 2x
Divide both sides by 2:
X = 14 / 2
X = 7
PART 2: The internship pays $7 per hour.
Area of den =8x3 = 24ft²
living room = 7x6 = 42ft²
total = 24+42 = 66ft²
