Answer:
2.5 seconds.
Step-by-step explanation:
Find the value of t when the height is 28 feet:
-16t^2 + 56t + 4 = 28
-16t^2 + 56t - 24 = 0
-8(2t^2 - 7t + 3) = 0
-8(2t - 1)(t - 3) = 0
t = 0.5, 3 seconds.
So on the upward journey the rock is at 28 feet at 0.5 second after the throw and at 3 seconds it is at 28 feet again while it is falling back.
Therefore the period when it is at least 28 feet above the ground is 3.0 - 0.5 = 2.5 seconds.
Answer:
The shorter piece is <u>37</u> inches long.
Step-by-step explanation:
Let the length of the shorter piece be x and the longer piece be 5x.
Short piece + Long piece = 222 inches
x + 5x = 222
6x = 222
x = 222 ÷ 6
x = 37
Answer:
7/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8
7/8 = 1/8 + 6/8
7/8 = 4/8 + 3/8
7/8 = 5/8 + 2/8
Step-by-step explanation:
Hope it helps!
Answer: It's not solvable.
Reason:
You need to ask for more information from your teacher, because x can be anything.
If you would have to graph x=7, you probably know that this is a vertical line at, well, x=7.
| x | = 7 is nothing more than two vertical lines, namely x=7 or x=-7, as you already wrote down.
| x | = -8 has no (real) solutions, so there is nothing to graph.