Distribute(x+4)(x-6)a) x^2-2x-24b) x^2-10x+24c) x^2+10x+24d) x^2-10x-24
2 answers:
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Answers:
- 6. Slope = -5/3; y intercept = 5
- 7. Slope = -1; y intercept = 2
- 8. Slope = 3; y intercept = 0
The graphs are below
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Explanation:
6)
Let's solve for y to get the equation in slope intercept form y = mx+b
That last equation matches with y = mx+b to get
m = -5/3 = slope
b = 5 = y intercept
To graph this, we plot the y intercept at (0,5). Then move down 5 and to the right 3 to arrive at (3,0) as the second point. This movement is directly tied to the slope. We only need two points to graph a straight line.
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7)
The equation y = -x+2, aka y = -1x+2, is already in slope intercept form
m = -1 = slope
b = 2 = y intercept
Start at (0,2) which is the location of the y intercept. Move down 1 and to the right 1 due to the slope -1/1 = -1. This should move us to the point (1,1). Connect the two points (0,2) and (1,1) with a straight line to finish up the graph.
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8)
We start with the origin (0,0) because the y intercept of y = 3x is 0. It might help to think of y = 3x as y = 3x+0
Then we move up 3 units and to the right 1 unit to get to (1,3) as our next point. Connect the two points with a straight line
slope = 3
y intercept = 0
Once again, the graphs are shown below.
Answer:
The probability is 0.8
Step-by-step explanation:
- if u see the table clearly, there are 30 houses in total with 2 bathrooms.
- by the general definition of probability,
probability of an event P =
- so, here 30 will be the denominator in the above formula(by definition).
- from the table, in the 3rd column and 2nd row (desirable box) i.e, the one which represents 2 bathrooms and 3 bedrooms, has the entry as 24.
- so, the numerator for above given formula will now become 24.
therefore probability P=
- So, the probability is 0.8.