Answer:
About 0.559 seconds
Step-by-step explanation:
The height equation is:

Where
is the initial height of the book, which is 5, so we can write:

Now, we want time it took for the book to reach ground (h = 0)
So, we substitute h = 0 and solve for t:

It took about 0.559 seconds for the book to reach the ground
Answer:
x < -4 or x > 7.
Step-by-step explanation:
We first determine the critical points by solving x^2 - 3x - 28 = 0:
x^2 - 3x - 28 = 0
(x - 7)(x + 4) = 0
x = 7, - 4
so the critical points are -4 and 7.
Create a Table (pos = positive and neg = negative):
Value of x< - 4 -4 < x < 7 x > 7
---------------------|----------- |--------------------- |---------------------
x + 4 NEG POS POS
x - 7 NEG NEG POS
(x + 4)(x - 7) POS NEG POS
So the function is positive (>0) for x < -4 or x > 7.
You can also do this by drawing the graph of the function.
To move tot he right h units, subtract h from every x
to move up k units, add k to the whole equaiton
added 1 to every x (subtract -1)
added6 to whole thing
moved -1 to right (moved 1 to left)
moved up 6 units
answer is A
Answer:
Step-by-step explanation: