3x+6=30 i need some help

x=8

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

3x+6=30

6 is being added on to 3x. The opposite of addition is subtraction. Subtract 6 from both sides.

3x+6-6=30-6

3x=30-6

3x=24

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=24/3

x=24/3

x=8

Let's check our answer. Plug 8 in for x in the original equation.

Original equation: 3x+6=30

Substitute 8 for x: 3(8)+6=30

3(8)+6=30

24+6=30

30=30

The statement above is true, so we know that x is equal to 8.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068