Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
The probability of selecting a yellow marble is #of yellow marbles/total # of marbles= 6/30 or .2 or 20%
If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is 90.
9/30=.3 = the percentage of red marbles
.3(300) = 90
Answer:
Equation 1 has no solution. Equation 2 does. The correct answer would be D.
Solving for s, I get s = 12.
