Answer: 
Step-by-step explanation:
1. By definition, an even number is that number that can be divided by two.
2. Therefore, keeping this definition on mind, if you have an even number 
, the next consecutive even integer after it can be obtained by adding 2.
3. Then, you can conclude the expression that represents the first consecutive even integer after is:
Answer:
x=3
Step-by-step explanation:
-2x+3=x-6
-3x+3=-6
-3x=-9
-x=-3
x=3
Answer:
15
Step-by-step explanation:
Rate of change is the slope of the tangent which will be the derivative of the function
if f(x) = 3x² - 4
f'(x) = 6x
as the derivative is linear, the average rate of change will occur at the midpoint of the interval
f'(2.5) = 6(2.5) = 15
Answer:
x = 16
Step-by-step explanation:
The two angles are vertical angles, which means they are equal
3x-3 = 2x+13
Subtract 2x from each side
3x-3-2x =2x-2x+13
x-3 =13
Add 3 to each side
x-3+3 =13+3
x = 16
