Answer:
y = - 16t² + 55.6t + 6
Step-by-step explanation:
Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football
So y = y₀ + vt - 1/2 × (32 ft/s²)t²
y = y₀ + vt - 16t² where y₀ = 6.5 ft
y = 6 + vt - 16t²
Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have
5 = 6.5 + v(3.5 s) - 16(3.5 s)²
5 = 6.5 + 3.5v - 196
collecting like terms, we have
5 - 6.5 + 196 = 3.5v
194.5 = 3.5v
v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s
So, substituting v into y, our quadratic model is
y = 6 + 55.6t - 16t²
re-arranging, we have
y = - 16t² + 55.6t + 6
We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.
The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 
inches.
Now we need to convert 63 inches into feet.
12 inches = 1 feet
63 inches = 
feet = 5.25 feet.
We are also told that Maria has 
foot of trim left, so total length of trim would be trim used plus trim left that is 
feet.
Since we need to find length of trim in yards, so we will convert 6 feet into yards.
3 feet = 1 yard
6 feet = 
yards = 2 yards
Therefore, the length of the trim was 2 yards.
Answer:
y = 1/2x + 0
You can see the slope is rising by 1 and running (to the right) by 2. This makes the slope, or rate of change, 1/2x.
There aren`t really calculations necessary to find the rate of change, but if you need more explaining please do ask, I`m happy to help
Answer:
the slope of the line is -2
