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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:
This shape is somewhat like a square, I believe.
Step-by-step explanation:
1st Point: Inside the I quadrant (the top right), by moving 1 1/2 units to the right on the x-axis, and 4 units up.
2nd Point: Inside the IV quadrant (bottom right), by moving 1 1/2 units to the right on the x-axis, and 8 units down.
3rd Point: Inside the IV quadrant (bottom right), by moving 5 units to the right on the x-axis, and 8 units down.
4th Point: Inside the I quadrant, by moving 5 units to the right on the x-axis, and 4 units up.
I think the answer is 7/8