Answer:
Step-by-step explanation:
The given equation is
For this function to have an inverse, we must restrict the domain, say 
We interchange x and y to get,
We now make y the subject to get;
We divide through by 16 to get;
We now take the square root of both sides to get;
Since 
, the inverse function is
Answer:
A
Step-by-step explanation:
vertex is (-3,-4)
so inside the absolute value bars need to be postive 3 and the four has to be -4.
Answer:
D) Amplitude: 2; period: π; midline: y = 1
Step-by-step explanation:
The question is much more easily answered from the graph than from the description of the graph.
The amplitude is the extent of the peak above the midline (2), or half the peak-to-peak value (4/2=2). The midline is the line halfway between the peaks (1). The period is the horizontal distance between peaks of the same polarity (π).
Answer:
a) Scores of 2 and higher are significantly high
b) Scores of -2 and lower are significantly low
c) Scores between -2 and 2 are not significant.
Step-by-step explanation:
Mean = 0
Standard deviation = 1
a. significantly high (or at least 2 standard deviations above the mean).
2 standard deviations above the mean is:
0 + 1*2 = 2
So scores of 2 and higher are significantly high
b. significantly low (or at least 2 standard deviations below the mean).
2 standard deviations below the mean is:
0 - 1*2 = -2
So scores of -2 and lower are significantly low
c. not significant (or less than 2 standard deviations away from the mean).
2 standard deviations above the mean is:
0 + 1*2 = 2
2 standard deviations below the mean is:
0 - 1*2 = -2
So scores between -2 and 2 are not significant.
72 divides by 9 is 8 so 2 times 8 is sixteen so that would be the answer
