The point where 2 lines intersect contain (x,y) coordinates that are equal for both equations.
By setting the 2 equations equal to each other, it is same as equating the 2 y-values, which we know they are equal at point of intersection.
1) D
(2/9) x=24
2) C
6x4=24
24=w
W=1/4(6)
3) A
67=9n
67=9n-2
9n-2=67
4) D
C+2x+x-3=56
4x=59
X=14.75
Katie payed 14.75
5) 91
Explanation: divide 18 by two and you get 9. When you add six and seven you carry on so those are your numbers. After you add you get your consecutive numbers, 91 and 92. 91 is the smallest so that is your answer
6)-18
Explanation: c+c+2=-34
2c+2-34
2x=-36
X=-18
18 is your answer
7) 17
Explanation: divide 22 is half. This is 11. 11+6=17. 17 is your answer
8)D
9)A
11-3 =x
However that isn’t an option so I would suggest to choose 3
10)D
4(17-n)=64
For this i would use the equation of a cylinder to find the surface area and the equation would be 2(3.14)1.5(7) + 2(3.14)1.5 = 75.36 and you would want to wrap it in something bigger than the vase itself so the best answer would be 80.11 inches squared
Answer:
Average rate of change = 1
Step-by-step explanation:
Average rate of change of a function between x = a and x = b is defined by,
Average rate of change = 
We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4
Therefore, average rate of change of the function = 
From the graph attached,
f(4) = 4
f(2) = 2
Average rate of change = 
= 1
Therefore, average rate of change of the function in the given interval is 1.
It is 27/6 or 4 1/2. you just need to subtract the numerators because you have a common denominator