Answer:
<h3>
-2a³ + 9a² + 6ab² + 45a + 18b² </h3>
Step-by-step explanation:
(a + 3)×(−2a² + 15a + 6b²) =
= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =
= -2a³ + <u>15a²</u> + 6ab² - <u>6a²</u> + 45a + 18b² =
= -2a³ + 9a² + 6ab² + 45a + 18b²
Answer:
Options (1), (5), and (6)
Step-by-step explanation:
See attached image
I leaerned this neat trick
you don't need to convert to vertex form
where
y=ax^2+bx+c
the x value of the vertex is -b/2a
the y value is found by inserting the x value of the vertex into the equation
so
1x^2-6x+14
-b/2a=-(-6)/2(1)=6/2=3
plug that in
y=x^2-6x+14
y=3^2-6(3)+14
y=9-18+14
y=5
the vertex is (3,5)
The time it would take for the bacteria to reach 1119 is 5.83 hours
<h3>Calculations and Parameters:</h3>
Given the function:

- Initial amount= 50
- amount after 3 hours= 80
To find the exponential growth;
80 = 

If there is a constant growth, then to get to 1119:
1119= 
3.8 = 0.533*t
t= 5.83 hours
Therefore, it would take 5.83 hours for the bacteria to increase to 1119.
Read more about exponential growth here:
brainly.com/question/2456547
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