Answer:
-20x+128
Step-by-step explanation:
–8(x – 4) - (12x – 8)
distribute: -8x+32-12x+96
combine like terms
-20x+128
For this problem, the most accurate is to use combinations
Because the order in which it was selected in the components does not matter to us, we use combinations
Then the combinations are 
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:

Where
is the number of ways to select 3 non-defective components from 117 non-defective components and
is the number of ways to select 3 components from 120.


So:

Finally, the probability that at least one of the selected components is defective is:

P = 7.4%
Answer:
68.6
Step-by-step explanation:
Given the initial ratio of 24 points out of 35 possible points, you can set up a proportion (equivalent ratios) to find the expected number of points math students would ear on a test of 100 possible points:

Where 'x' is the number of points earned on the 100 point test.
Cross-multiply: 35x = 24(100) or 35x = 2400
Divide both sides by 35: 35x/35 = 2400/35
Solve for x: x = 68.6
Answer:
Vertex: (3,0)
Max/min: min
axis of symmetry: x=3
Domain: (-∞,∞)
Range: [3,∞)
zeroes: (3,0)
Step-by-step explanation:
Vertex is where the graph changes directions (so in this case it's the point where it changes from decreasing to increasing) which I think is (3,0)
It's a minimum because the coefficent for the degree is positive
The axis of symmetry is just the x value of the vertex (which is x= 3)
the domain is all possible x values (-∞,∞)
The range is all possible y values [3,∞)
The zeroes is where the line hits the x axis, which is (3,0)