(mx + 7)(5x + n) = 5mx^2 + mnx + 35x + 7n
= 5mx^2 + (35 + mn)x + 7n
= px^2 + 15x + 14
7n = 14
n = 2
35+mn = 15
35+ m(2) = 15
35+ 2m = 15
2m = 15-35
2m = -20
m = -10
p = 5m
= 5(-10)
=-50
m(n + p) = -10(2 -50)
= 480
The answer is <span>y ≤ –2x – 4... Hope this helps. :)</span>
The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
If they are all in a line then we can find the equation of their line using: y = mx + b
First find m using points (2,5) and (3,3)
m = (5-3)/(2-3) = 2/-1 = -2
Now using (3,3) and m= -2 to solve for b:
3 = -2(3) + b
3 = -6 + b
9 = b
So our equation is y = -2x + 9
That is the solution for question b)
Now to find the mystery point, solve:
1 = -2x + 9
-8 = -2x
4 = x
So our mystery point is (4,1)
So for part a) the answer is k = 4