Can you put spaces to make these easier to read? Plus, none of these have a horizontal asymphote of y = -3. At least if I’m understanding what you put correctly, A does have a vertical asymphote of x = -3 however.
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
A. F(n) = 3n + 5 is your answer
Plug in the corresponding number to n to get F(n).
When n = 0:
3(0) + 5 = F(n)
0 + 5 = F(n)
F(n) = 5 (True).
When n = 1:
3(1) + 5 = F(n)
3 + 5 = F(n)
F(n) = 8 (True).
When n = 2:
3(2) + 5 = F(n)
6 + 5 = F(n)
F(n) = 11 (True)
etc. etc.
hope this helps
28-14= 14, that is the girls that went swimming 14-5=9, that is subtracting the 5 girls that did both. 9-4=5, that is subtracting the girls that did neither. So 5 is your answer