Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 


= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
Answer:
Hey!!!!
the answers are 2, 6, 3, 12, 4, 1
Please read the explanation... it always helps..
Step-by-step explanation:
Alrighty... let's begin....
A factor is any number that you can multiply by another number to get a product
So choose the numbers you can mutiply by another number to get twelve... which are... 2, 6, 3, 12, 4, 1
if you are wondering why twelve well... 12 x 1 = 12
i hope this helps!!!!
3, 6, 9, 12,15, 18, 21, 24
8, 16, 24
Marco will fill up his car with gas and wash it on the 24th day.
Answer:
Explanation:
<u>1. Calculate the monthly interest owed during year 1</u>
<u />
- <em>Interest for first year: 8%</em>
- The monthly rate is the yearly rate divided by 12: 8% / 12 = 0.08/12
- The monthly interest owed is the monthly rate times the balance: (0.08/12)×$1,800 = $12.00
<u>2. Calculate the monthly interest owed during year 2</u>
<u />
- <em>Interest for second year: 23%</em>
- The montly rate is the yearly rate divided by 12: 23% / 12 = 0.23/12
- The monthly interest owed is the monthly rate times the balance: (0.23/12)×$1,800 = $34.50
<u>3. Calculate the difference</u>
- Difference in the monthly interest owed during year 1 and year 2 = $34.50 - $12.00 = $22.50
Hence, the answer is the option c) $22.50
Answer:

Step-by-step explanation:
we have given thickness of atmosphere =50 km
radius of earth =6400 km
average temperature of atmosphere=15°C
Average pressure of atmosphere= 0.20 atm
we have to calculate the volume of atmosphere
so the we have to calculate the volume of atmosphere = ( volume of earth +atmosphere) - volume of earth
volume of atmosphere =
=