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.
Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:
- The location point of the Ferris wheel is (15,24).
- They need to walk 20 units.
- The coordinates of the hotdog stand are (23,8).
- Water ride is at point (3,8).
- Roller coaster is at point (27,40).
- The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the <u>mean of their coordinates.</u>
The location point of the Ferris wheel is (15,24).
The distance between two points, 
and 
is given by:
Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:
They need to walk 20 units.
- Hotdog stand is directly east of the water ride, thus, it has the <u>same y-coordinate, while the x-coordinate is increased</u>.
- The distance is of 20 units, thus:
The coordinates of the hotdog stand are (23,8).
A similar problem is given at brainly.com/question/24352869
Okay so 48 would be in and 1,261 would be out and do the math
Answer:
a=2
b=10.5
c=4
d=17.5
Step-by-step explanation:
so 3.5 miles per hour and the columns are miles and then hours
so an equation can be 3.5 (mi/hr) * t (time) = distance
so for a): 3.5*t=7
t=2
b) 3.5*3=distance
distance is 10.5
c) 3.5*t=14
t=4
d) 3.5*5=d
d= 17.5
