so we know that each m&m weighs about 2g.
the next line says to write a direct variation equation.
(definition: mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other)
we then make the equation ( w=xm), then we use that equation to figure out the next line, which is to find the amount of m&ms that would fit in a bag of 1000.
(my head cant really process part a cause of a recent headache, so sorry if its wrong)
the answer to part b would be 500, which you can provide evidence based off of your part a equation.
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:
y = 2x
Step-by-step explanation:
y=mx+b
m=2
x=2
y=4
4=2*2 + b
b = 4 - 4
b = 0
y = 2x