The velocity of a ball thrown in the air is 72ft
Per second. The height of the ball after t seconds
Is represented by the equation
H = 72ft t - 62t^2.
Describe the dependent variable, the domain and range.
Honestly I have to say I am lost
72 + 72ft - 256 = ?
72 + 184t =0
clearly this ball was thrown on this earth, or else your equation would have been
h = 72t - 16t^2
I will assume you have a typo
Your equation is a parabol.
Do you know how to find the vertex of a parabola?
I too am lost in trying to figure out your arithmetic.
Did you decide to just add and subtract some numbers?
This is exactly the word problem that was given to me by my teacher whom is a coach if I might add.
I just noticed in the "Related Questions" below, that Steve noticed the same problem with the same question.
I would strongly suggest that your coach (math-teacher) is mistaken.
H=72t-16t2
The dependent variable in this context is the height of the ball, which is represented by the variable H. It depends on the independent variable, which in this case is time (t).
The domain of the equation represents the possible values that the independent variable (t) can take. In this case, since we are dealing with time, it cannot be negative, so the domain would be all non-negative real numbers. In other words, t >= 0.
The range of the equation represents the possible values that the dependent variable (H) can take. In this case, since the ball is thrown in the air, the range would include all non-negative real numbers. In other words, H >= 0.
Now, let's solve the equation 72 + 72ft - 256 = ?
To start, let's simplify the equation:
72ft - 184 = 0
Now, isolate the variable:
72ft = 184
Finally, solve for ft:
ft = 184/72
So, the value of ft is approximately 2.5556.