The answer is D, Cavalieri's Principle
Answer:
the desired line is y = (1/2)x + 1
Step-by-step explanation:
Write these two points as (0, 1) and (-2, 0).
Now, as we go from (-2, 0) to (0, 1), x increases by 2 and y increases by 1. Thus, the slope, m, of the desired line is m = rise / run = 1 / 2.
Then the desired line is y = (1/2)x + 1 (since b is already given as (0, 1) )
You need to find where the discriminant is less than zero
Remember the discriminant is b^2 - 4ac
a = m
b = -5
c = -2
Set up the inequality like this
(-5)^2 - 4m(-2) < 0
25 + 8m < 0
8m < -25
m < -25/8 < -3.125
So any number less than -3.125 will make this graph have no x-intercepts (or real roots)
There are 23 such numbers. Here they are:
10
14
18
22
26
30
34
38
42
46
50
54
58
62
66
70
74
78
82
86
90
94
98
