Answer:
-20
Step-by-step explanation:
(r + b − g)(b + g)
we have fom statement:
r = 9
b = 5
g= −6
so we have:
(r + b − g)(b + g)= (9+5-(-6))*(5+(-6))
(r + b − g)(b + g)= (14+6)*(-1)
(r + b − g)(b + g)= -20
Their running paths form the legs of an isosceles right triangle. The hypotenuse of such a triangle (the distance between Steve and Scott) is √2 times the length of one leg. Each has run 10 miles in the hour since they split.
They are running at 10 miles per hour.
In 7th grade:
red-hair students =58
another color hair students =609
In 8th grade:
red-hair students =60
Let's assume
another color hair students =x
now, we are given
The numbers of red-haired students in 8th grade are proportional to the numbers in 7th
so,

now, we can solve for x
we get

we get

so, students have another color hair in 8th grade is 630.........Answer
Answer and Explanation:
He rate at which the innovation spread through the community is the number of people proportional to the people adopted it and the people who don't adopted it as constant of proportionality is k , and the fixed population of the community is n.
Suppose
Number of people who have adopted innovation at time t = x (t)
Number of people who don’t adopted innovation at time t = n – x (t)
Then the differential equation is:
dx/dt = kx (n-x), k > 0
Where k is the constant of proportionality.
Answer:
i)D:
ii)R: 
iii) Y-int:(0,3)
Step-by-step explanation:
i) The given absolute value function is;
.
The absolute value function is defined for all real values of x.
The domain is all real numbers.
ii) The range is all y-values that will make x defined.
The given function,
.
has vertex at, (-3,0) and opens upwards.
This implies that, the minimum y-value is 0.
The range is 
iii) To find the y-intercept substitute x=0 in to the function.
.
.
.
The y-intercept is (0,3)
See attachment for graph.