First, we get ax^2+bx+c. Next, we know that the line of symmetry is -b/2a. Since we know that there is a maximum value, the parabola is facing downwards, so a is negative. For random numbers, we can say that a = -0.5 and b=-10 (b needs to be negative for -b/2a to equal -10), getting -0.5x^2-10x+c. Plugging -10 in for x (since -10 is the middle it is the max), we get -50+100=50. Since the maximum needs to be 5, not 50, we subtract 45 from the answer to get it and therefore make c = -45, getting -0.5x^2-10x-45
Answer:
g(5) = 5
Step-by-step explanation:
g(5) is really g when x=5 so we have to use the function g(x) when x≥2
g(5) = 2x-5 when x=5
g(5) = 2*5 -5 = 10-5 = 5
Answer:
60.6°
Step-by-step explanation:
Using trigonometry :
Opposite = Height of shadow = 42 feets
Adjacent = height of flagpole = 23.7 feets
Tan θ = opposite / Adjacent
Tan θ = height of shadow / height of flagpole
Tan θ = 42 / 23.7
Tan θ = 1.7721518
θ = tan^-1(1.7721518)
θ = 60.56
θ = 60.6°
