Answer:
B
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = 3x² + 6x + 1 ← is in standard form
with a = 3 and b = 6 , then
= - 
= - 1
Substitute x = - 1 into y for corresponding y- coordinate
y = 3(- 1)² + 6(- 1) + 1
= 3(1) - 6 + 1
= 3 - 5
= - 2
vertex = (- 1, - 2 )
Answer:
15.035 years
Step-by-step explanation:
The exponential function to calculate population growth is
P(t) = Poe^kt
P(t) = Population size after t years = 3.6 million
Po = Initial population size = 2.1 million
k = growth rate = 3.65% = 0.0365
t = time in years = ???
Hence:
3600000 = 2100000 × e ^0.0365t
Divide both sides by 2100000
3600000/2100000 = e^0.0365t
1.7142857143 = e^0.0365t
Find the log of both sides
Log 1.7142857143 = log (e^0.0365t)
Log 1.7142857143 /Log 0.0365 = t
t = 15.035 years
Answer:
Step-by-step explanation:
1. Subtract 9 from both sides of the equation:
2. Notice that the coefficient of "x" is 7. Then:
3. Add 
to both sides of the equation:
4. Completing the square, you get:
5. To find the solutions, you must square-root both sides of the equation, simplify, and solve for "x". Then, you get:
Answer:
104 pictures
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
