Line above the repeating number
f(x) = 2x + 1; Paren graph = x;
The graph was shifted one unit up and stretched 2 times.
g(x) = -8(x+4) - 1 = -8x - 32 - 1 = -8x - 33
The graph was shifted 33 units down and stretched 8 times and flipped 180 degrees.
Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and 
be the sample proportion .
As per given question , we have
z-score : 
The required probability ( using z-table ):-
Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643
Answer:
At (-2,0) gradient is -4 ; At (2,0) gradient is 4
Step-by-step explanation:
For this problem, we simply need to take the derivative of the function and evaluate when y = 0 (when crossing the x-axis).
y = x^2 - 4
y' = 2x
The function y = x^2 - 4 cross the x-axis when:
y = x^2 - 4
0 = x^2 - 4
4 = x^2
2 +/- = x
Hence, this curve crosses the x-axis twice, once at (-2,0) and again at (2,0).
The gradient at these points are as follows:
y' = 2(-2) = -4
y' = 2(2) = 4
Cheers.
