multiply all numbers together:
3*6*4*3 = 216 combinations
This can solved graphically, using algebraic manipulation or differential calculus.
Plotting the equation will generate a parabola. The vertex represents the point where the ball will reach the maximum height.
The vertex can be determined by completing the square
h = -16t2 + 45t + 5
h - 5 = -16(t2 - 45/16t)
h - 5 - 2025/64 = -16(t2 - 45/16t + 2025/1024)
(-1/16)(h - 2345/64) = (t - 45/32)^2
The vertex is
(45/32,2345/64) or (1.41,36.64)
The maximum height is 36.64 ft
Using calculus, taking the first derivative of the equation and equating to 0
dh/dt = 0 = -32t + 45
t = 45/32
Substituting this value to the equation
h = -16(45/32)^2 + 45(45/32) + 5
h = 36.64 ft
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Answer:
4/1 or 4
Step-by-step explanation:
Answer:
-4x +3
Step-by-step explanation:
Given the functions f(x) = -2x + 3 and g(x) = 2x We are to find the composite function (f*g(x))
(f*g(x)) = f(g(x))
f(g(x)) = f(2x)
f(2x) = -2(2x) + 3
f(2x) = -4x +3
Hence f(g(x)) = -4x +3
total the temperatures given
total = 497
divide by how many they gave (7)
497 / 7 = 71
answer is C 71 degrees
