Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.
Answer:
see below
Step-by-step explanation:
f(x) = –(x + 6)(x + 2)
The function is increasing until it reaches the vertex, so it will increase until x=-4. The function will decrease after the vertex, so after x = -4
increasing: -∞ < x < -4
decreasing : -4 < x < ∞
Answer:
c. 0.1391 < Ï < 0.2311
Step-by-step explanation:
The formula for Confidence Interval is given as:
Mean ± z × Standard deviation/√n
Z score for 98% confidence interval = 2.326
Mean = Significance level = 100% - 98%
= 2% = 0.02
Standard deviation = S=0.0165
n= 37
Hence,
Confidence Interval =
0.02 ± 2.326 × 0.0165/√37
0.02 ± 0.0063094687
Confidence Interval
0.02 - 0.0063094687
= 0.1391
0.02 ± 0.0063094687
= 0.2311
Hence, the Confidence Interval = (0.1391, 0.2311)
= c. 0.1391 < Ï < 0.2311
