First we need to take the - signal
So the difference between the graphs y = -4x and y = 4x is that they are mirrored by the y-axis
Now we have the graph y = 4x and want the graph y = 4x + 3
We just need to move the graph y = 4x 3 units to the left
So the transformations we need is to move it 3 units to the left and to mirror it by the y-axis
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
Answer:
Is there a picture you are missing? We cant answer without knowing what the answer choices are.
Step-by-step explanation:
First, write put the information into an equation
2*(x+9) = 3*(x-7)
distribute the 2 and 3
2x + 18 = 3x - 21
Combine like terms (Xs and munbers) (in this case, it's easier to add 15 to both sides and subtract 2x from both sides so both sides end up being positive)
33 = x
x=33
