Answer:
0.4
Step-by-step explanation:

Answer:
a = 1
Step-by-step explanation:
Given the point (a, 3) is on the line: 5x + y = 8.
Any point on the line satisfies the equation.
So, (a, 3) should satisfy the equation 5x + y = 8
Substituting x = a and y = 3, we get:
5(a) + 3 = 8

⇒ a = 1
Therefore, (1, 3) is the point on the line.
Answer: The maximum height the football reaches = 51.89 feet.
Step-by-step explanation:
Given: The equation
gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.
Differentiate the given equation, we get
(i)
Put 

Differentiate (i) w.r.t. t, we get
< 0 i.e. h is maximum at t= 1.65625
The value of h at t= 1.65625 will be 
Hence, the maximum height the football reaches = 51.89 feet.
Answer:
D. 1 and 20
Step-by-step explanation:
To solve the equation, factor the quadratic and set the factors equal to 0.
d^2 - 21d + 20 becomes (d-20)(d-1) since -1*-20 = 20 and -1+-20 = -21.
Set each equal to 0 and solve for x.
d-20 = 0 d = 20
d - 1 = 0 d = 1
40+5= 45
45-32=13
13/9= 1.44
1.44x2=2.89