Step-by-step explanation:
P(t) = 8 − 2√(2t + 4)
The x-intercept(s) is where t = 0.
P(0) = 8 − 2√(0 + 4)
P(0) = 8 − 4
P(0) = 4
The y-intercept(s) is where P = 0.
0 = 8 − 2√(2t + 4)
2√(2t + 4) = 8
√(2t + 4) = 4
2t + 4 = 16
2t = 12
t = 6
So the intercepts are at (0, 4) and (6, 0).
The easiest way to tell if the function is increasing or decreasing is to graph it. Otherwise, we have to either use calculus to find the derivative, or assume the function is constantly increasing/decreasing and use limits.
lim(t→∞) P(t) = -∞
The function is decreasing.
Answer:
∠EFH
Step-by-step explanation:
If AB and CD are parallel lines and EF is a transversal line, then angles formed on the same side of the transversal line and are exterior to the parallel lines are same side exterior angles.
Same side exterior angles theorem states that same-side exterior angles are supplementary.
From the image attached below:
∠ABC and ∠EFH are same side exterior angles, therefore:
∠ABC + ∠EFH = 180°
Answer:
<h2><u><em>
288 cm³</em></u></h2>
Step-by-step explanation:
find the volume of one and multiply by six
6 * 2 * 2 * 12 =
288 cm³
Answer : 3, 360 ways
Total number of people running the race = 16
We have three slot to be filled for first, second and third
Any person can take the first position irrespective of the arrangement
one out of the 16 people can come first
out of the 15 people remaining , one person can also come second remaining 14
out of the 14 people, one person can also come third
The number of ways the gift can be awarded = 16 x 15 x 14
The nummber of ways the prizes can be awarded = 3360 ways
Answer:
the correct answer is 8
Step-by-step explanation:
