The speed of a rollercoastsr, in miles per hour, is modeled by the funtion g(x) = x⁴ - 4x² + 7x - 8, where x is time measured in seconds. How fast is the roller coaster travelling at 2 seconds?

Step-by-step explanation:

Given the expression

g(x) = x⁴ - 4x² + 7x - 8

we are expected to substitute x=2 into the expression and return the result

g(x) = (2)⁴ - 4(2)² + 7(2) - 8

g(x) = 16 - 4x4 + 14 - 8

g(x) = 16 - 16 + 14 - 8

g(x) =14 - 8

g(x) =6

From the substitution the roller coaster is  travelling at speed of 6mph

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

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