Probability (first marble red and second marble blue) = (3/7) × (4/6) = 2/7
31. At the candy store:
=> Ericka bought 3 kilograms of Cinnamon red hots and 1 kilograms of gummy bears for 21.00 dollars.
=> Irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for 39.00 dollars.
Question: Find the costs of each kilograms.
Notice that the cinnamon red hot that they both are the same, the only difference is the gummy bears, which added 2kilos for Irene.
Now, let’s subtract
=> 39 – 21 = 18 dollars – this is the costs of 2 kilos of gummy bear
=> 18 / 2 = 9 dollars, thus the price of each kilos of gummy bear is 9 dollars,
Now, let’s solve for the cinnamon
=> 21 – 9 = 12 dollars, to be divided with 3 kilos
=> 12 / 3 = 4 dollars – the price of cinnamon red hot per kilo.
Answer:
B
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant.
Using the distance formula
= | y - 6 |
Squaring both sides
(x + 2)² + (y - 4)² = (y - 6)² ← distributing
x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )
x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )
4y - 20 = - x² - 4x - 4 ( add 20 to both sides )
4y = - x² - 4x + 16 ( divide through by 4 )
y = -
x² - x + 4, that is
f(x) = -
x² - x + 4 → B

8x + 3 ≠ 0
8x ≠ -3

x ≠ 
Interval Notation: (∞,
) U (
, ∞)