Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex
Answer:
47.25 mph
Step-by-step explanation:
Represent the total distance traveled as 2x. Average speed= total distance/total time
When going at 42 mph, the time would be x/42 and when going at 54 mph the time would be x/54 to travel x distance. Add x/42 and x/54 together to get 16x/378. Then divide 2x by 16x/378 to get 47.25 mph. Also this is RSM innit?
Answer:
Yes, 15 people would be unusual as it falls outside of 2 standard deviation of mean.
Step-by-step explanation:
Consider the provided information.
The mean number (per group) who recognize the Yummy brand name is 12.5, and the standard deviation is 0.58.
Mean = μ= 12.5
σ = 0.58
n = 15
![\mu\pm2\sigma=12.5\pm 2(0.58)\\\mu\pm2\sigma=12.5\pm1.16\\\mu\pm2\sigma=[11.34, 13.66]](https://tex.z-dn.net/?f=%5Cmu%5Cpm2%5Csigma%3D12.5%5Cpm%202%280.58%29%5C%5C%5Cmu%5Cpm2%5Csigma%3D12.5%5Cpm1.16%5C%5C%5Cmu%5Cpm2%5Csigma%3D%5B11.34%2C%2013.66%5D)
Yes, 15 people would be unusual as it falls outside of 2 standard deviation of mean.
-3x-2.5=y would be an equivalent to that equation