0=-x2+4x-2
+x2-4x+2=+x2-4x+2
___________________
x2-4x+2=0
(-4)^2-4(1)(2)
16-8
Final Answer: 8
Unit price for smaller bottle = 2.19 / 13.5 = $0.16 per ounce
For larger bottle its 5.37 / 29.2 = $0.18 per ounce
( to the nearest cent).
The better buy is the 13.5 ounce bottle
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
Answer:
y=-5
x=2
Step-by-step explanation:
3x + 3y=-9
3x - 3y=21
-
0+6y=-30
6y=-30
y=-5
3x-15=-9
x=2
The answer is going to be the second one
