Answer:
Exponential
374.4
Step-by-step explanation:
This function is not linear. You can tell because the f(x) values do not increase by adding the same number each time.
163.84 + 81.83 = 245.67
245.67 + 122.88 = 368.64
The rate of change is different each time.
The average rate of change from x = 2 and x = 6 is the difference in y values over the difference in x values.
1866.24 - 368.64 = 1497.6
6 - 2 = 4
1497.6 / 4 = 374.4
To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
Mode = number which appears the most
The mode for your question is 5
Answer:
2233000x
Step-by-step explanation:
Answer:
One approach to this problem is to obtain the graph for the given equation.
We need to find every intersection those functions have with the axis 'x' and 'y'
starting with g(x)
g(x=0)=0-3, first point (0,-3) it iis the crossing point with 'x' axis
g(x)=0=x-3, second point (3,0) it iis the crossing point with 'y' axis
Lets do the same for f(x)
g(x=0)=0, this leads to the first point (0,0) it iis the crossing point with 'x' axis and also, with the 'y' axis
We dont need to find any other, since always y=x
By plotting we have the attached picture
Now you can see that g(x) differs from its parent function in that is shifted 3 units to the right, and also 3 units down.
Step-by-step explanation:
