Answer:
Step-by-step explanation:
To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:
So, the average rate of change of:
Over the interval 
Is:
Therefore, the average rate of change of this function over that interval is 3.
Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph
x=9 because the triangle is equilateral which means every side is equal to 60. When you do the math you get 7x-3=60 which is 7x=63 and 63/7=9
Answer: D, $116
Step-by-step explanation:
A = 100(1 + 0.03)^5
A = 100(1.03)^5
A = 100(1.1593)
A = 115.92
Hope this helped!
Answer:
Aplha=105
Step-by-step explanation:
The perpendicular looks like double the base hence that angle is 30 and the other triangle have equal perpendicular and base, that angle is 45. So alpha+30+45=180, alpha=105
