"how long..." is asking for time (t). "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground. Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.
h = -16t² + 60t + 3
a=-16 b=60 c=3
or 
or 
t = -0.05 or t = 3.8 <em>disregard the negative</em>
Answer: 3.8 seconds
The answer is given below:
Answer:
-I haven't done this, but I have copied and pasted from another question and answer from the user syed514:
Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting 
represent the number of hot dogs and 
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.
The Farley family bought 3 hot dogs and 4 juices for $9.15.
Now, we subtract these equations.
Since has reversed coefficients, it gets eliminated. Now solve for x.
NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.
= 1.65
= 1.05
represents hotdogs and represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>
