y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
-5 = 3/4x - 2
-5 + 2 = 3/4x
-3 = 3/4x
-3 / (3/4) = x
-3 * 4/3 = x
-12/3 = x
-4 = x <==
Answer: 
Step-by-step explanation:
Given : A biologist studied how cells grow by adding liquid protein to cell samples.
She divided 
of an ounce of liquid protein evenly among 3 cell samples.
Here , total quantity of liquid protein = of an ounce
Total cell samples = 3
Now , Quantity of liquid protein given by her to each cell = (total quantity of liquid protein ) ÷ (3)
= 
.
Hence, Quantity of liquid protein given by her to each cell =
Having drawn one king, there are 3 kings remaining and a total of 51 cards. Therefore the probability of drawing another king is 3/51 = 1/17.
