Point-slope equation of a line:

Where m is the slope (1/4) and (xo,yo)=(2,-2)



The y-intercept is -5/2, the graph is shown in the photo.
D - 15.4 million.
59.3m is 56% of 105.89m whereas 51.6m is 57% of 90.52m
105.89 - 90.52 = 15.37
Answer: option D: 11/12
Explanation:
1) The sample space is formed by 36 pairs: 6×6 = 36.
2) Roolling 4 or more is the same that not rolling 3 or less
3) Rolling 3 or less are (1,1), (1,2), and (2,1). Those are 3 outcomes out of 36.
4) Therefore, not rolling 3 or less (the same that rolling 4 or more) has 36 - 3 = 33 outcomes out of 36.
5) The probability of 33 out of 36 is 33/36
6) Simplify the fraction 33/36 = 11/12
And that is the answer.
20 - 4x = 2(4 - 8x)
Make sure to do the parentheses first or factor out first
20 - 4x = 8 - 16x
add 16x to both sides
20 + 12x = 8
Subtract 20
12x = -12
Divide by 8
x = -1
Problem 1
With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2
Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)
Use examples like this and you'll get the results you see in "figure 1"
For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.
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Problem 2
This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers.