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:
E) b^2
Step-by-step explanation:
Solving the first equation for a, we get ...
a - b = 0
a = b . . . . . . add b to both sides
Now, the expression ab can be rewritten as
ab = bb = b^2 . . . . . . substitute b for a
Answer:
Option 3 is right
z37 is between 2 and 3 standard deviations of the mean.
Step-by-step explanation:
Let X be a random variable which represents the mean number of miles that the employees in a department live from work
X is normal (N(29,3.6)
WE have to find Z score for X
Z =
=2.22
i.e. 37 is 2.22 std deviations from the mean.
In other words, z37 is between 2 and 3 standard deviations of the mean.
Which equation represents a proportional relationship?
C. y=1/2x+3
Answer:
900,000 books.
Step-by-step explanation:
The volume of the container = 24 * 9 * 8
= 1728 m^3
The volume of each book = 20*16*6 = 1920 cm^3
There are 100*100*100 = 1,000,000 cm^3 in 1 m^3.
So the number of books the container can hold
= (1728 * 1000000) / 1920
= 900,000.
