the average rate of change is just the slope from (0,f(0)) to (1,f(1))
find f(0) and f(1)
slope from (0,3) to (1,3) is rise/run=(3-3)/(0-1)=0/-1
the average rate of change from x=0 to x=1 for f(x) is 0
70 miles per hour for 9 hours gets Dustin 630 miles toward his goal.
Dustin has 236 miles to go.
Answer:
y = -1/2 ( x − 4 )^2 + 8
Step-by-step explanation:
First find the vertex form
y = a ( x − h )^ 2 + k where ( h,k) is the vertex
The vertex is ( 4,8)
y = a ( x − 4 )^2 + 8
Now we need to determine a
Pick a point on the graph (0,0)
and substitute this point into the equation
0 = a ( 0 − 4 )^2 + 8
0 = a (16) +8
-8 = 16a
-8/16 =a
-1/2
y = -1/2 ( x − 4 )^2 + 8
Answer:
mean = 85, standard deviation = 3.5
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.
From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.
σ = standard deviation, μ = mean
Hence; μ ± 2σ = (78, 92)
μ - 2σ = 78 (1);
μ + 2σ = 92 (2)
Adding equation 1 and 2, gives 2μ = 170
μ = 85
μ - 2σ = 78
85- 2σ = 78
2σ = 7
σ = 3.5