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:
Step-by-step explanation:
3(10+n) = 25
30 +3n =25
30-30 and 25-30=
3n=-5
3/3 and 5/-3
The system of inequalities is: 
and 
<em><u>Explanation</u></em>
Let 
be the amount of live bait and 
be the amount of natural bait.
As John would like to get at least 3 pounds of live bait, so the first inequality will be:
Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63
So, the cost for buying pound of live bait 
and the cost for buying pound of natural bait 
Thus, the second inequality will be:
Answer:
12,000 m³
Step-by-step explanation:
- Area of it's base = 900 m²
- Height of the pyramid = 40 m
The volume of a pyramid = 1/3 × area of base × height
= 1/3 × 900 × 40
= 300 × 40
= 12,000 m³
