Answer:
-3
Step-by-step explanation:
The average rate of change is the slope of the line that connects the points of interest. At x=-6, the point is (-6, 8). At x=-5, the point is (-5, 5).
I find it easy to refer to the graph to see that the point at x=-5 is 3 units down and 1 unit to the right of the point at x=-6. So the slope of the connecting line is -3/1 = -3.
If you want to find the same result analytically, you can compute ...
... ∆y/∆x = (y2 -y1)/(x2 -x1)
... = (5 -8)/(-5 -(-6))
... = -3/1 = -3
Answer: A. We are 95% confident that the population mean weight gain for male University of South Texas students is 2.4 more to 20,4 more than female University of South Texas students.
Step-by-step explanation:
Given a 95% confidence interval of : (2.4, 20.4)
The lower boundary of the interval = 2.4
The upper boundary of the interval = 20.4
Male = group 2, Female = group 1
P2 - P1 is between lower boundary more and upper boundary more ;
Hence
Population mean weight for male is 2.4 more to 20.4 more than female
=0 [/tex]
=0 [/tex]
(Reciprocal Identity)
(ZeroProduct Property)
and
x=0 and x=
are the solutions.
Let r be the lesser root and r^2 be the greater.......the sum of the roots = -b/a = -[-6] / 1 = 6
So we have that
r^2 + r = 6 → r^2 + r - 6 = 0
Factor
(r + 3) (r - 2) = 0
So r = -3 or r = 2
Then r^2 = 9 or r^2 =4
And the product of the roots = c/a = k/a = k
So....k = (-3)(9) = -27 or k = (2)(4) = 8
Check
x^2 - 6x - 27 = 0 factors as (x + 3)(x - 9) = 0 and the roots are -3 and 9
x^2 - 6x + 8 = 0 factors as (x -2) (x - 4) =0 and the roots are 2 and 4
You would have a maximum of 6 days
$160-$10 = $150
$150/$25=$6
