Answer:
- asymptotes: x = -5, x = 5
- zero: x = 0
Step-by-step explanation:
The function of interest is ...
The asymptotes are found where the denominator is zero. It will be zero when either factor is zero, so at x = 5 and x = -5
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The zeros are found where the numerator is zero. It will be zero for x = 0.
The asymptotes are x=-5, x=5; the zero is x=0.
Line the decimal first then divide 3
Answer:
t as a function of height h is t = √600 - h/16
The time to reach a height of 50 feet is 5.86 minutes
Step-by-step explanation:
Function for height is h(t) = 600 - 16t²
where t = time lapsed in seconds after an object is dropped from height of 600 feet
t as a function of height h
replacing the function with variable h
h = 600 - 16t²
Solving for t
Subtracting 600 from both side
h - 600 = -16t²
Divide through by -16
600 - h/ 16 = t²
Take square root of both sides
√600 - h/16 = t
Therefore, t = √600 - h/16
Time to reach height 50 feet
t = √600 - h/16
substituting h = 50 in the equation
t = √600 - 50/16
t = √550/16
t= 34.375
t = 5.86 minutes
A)
Vertex:(3,0)
x-intercepts: (3,0)
y-intercepts: (0,27)
B)
Vertex:(0,-9)
x-intercepts:none
y-<span>intercepts:</span> (0,-9)
The formula for the amount of a monthly payment A on principal amount P at interest rate i loaned for t years is given by
... A = P(i/12)/(1 -(1 +i/12)^(-12t))
Filling in the given values, this is
... A = $204000(.05/12)/(1 -(1 +.05/12)^(-12·20)) ≈ $1346.31
