Answer:
Step-by-step explanation:
2y = -x +9
3x - 6y = -15
The solution is the value of x and y that will make the two equations true in the same time.
3x-6y = -15; divide both sides by 3
x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal
x-(-x+9) = -5; open parenthesis
x+x-9 = -5 ; add 9 to both sides and combine like terms
2x = -5 +9; 2x = 4; divide both sides by 2
x= 2
Substitute x for 2
2y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5
Solution is (2, 3.5)
Answer:
To find the surface area of a prism, find the area of a base and double it since the areas of the two bases are always equal. Then find the area of each side face, and add to the area of the bases. A pyramid has one base and triangular sides.
Step-by-step explanation:
Find slope first:
m =y2-y1/x2-x1
m = 1--2/2--2
m = 3/4
Select a point, insert your slope, & put it into point slope form:
y-y1 =m(x-x1)
Your final answers are:
y-1=3/4(x-2)
OR
y+2 =3/4(x+2)
Answer:
Average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Step-by-step explanation:
We need to find the average rate of change for the function for the interval
(6, 12]
The formula used to calculate Average rate of change is:
We are given a=6 and b=12
Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000
and when x=12, y=6000 so, f(b)=6000
Putting values in formula and finding Average rate of change:
So, average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Answer:
6(x-1)
Step-by-step explanation:
Open brackets.
4x-8+2x+2
Solve and simplify
6x-6
You can take 6 common
6(x-1)
