Answer:
D: (-1,2)
Step-by-step explanation:
The X coordinate is between 2 and -4. There is a difference of 6, so you should do -4 + (6/2) = -1.
so the X coordinate is -1
The y coordinate is between 0 and 4. There is a difference of 4, so you should do 0 + (4/2) = 2.
so the y coordinate is 2
This results in the centre being (-1,2)
Answer:
f(7) = 13.7
f(8) = 18.7
Recursive Function Is: f(1) = -16.3; (fn) = f(n - 1) + 5
Step-by-step explanation:
The recursive function of the arithmetic sequence is
f(1) = first term; f(n) = f(n-1) + d, where
- d is the common difference between each two consecutive terms
∵ f(5) = 3.7 and f(6) = 8.7
∵ d = f(6) - f(5)
∴ d = 8.7 - 3.7
∴ d = 5
∵ f(7) = f(6) + 5
∴ f(7) = 8.7 + 5
∴ f(7) = 13.7
∵ f(8) = f(7) + 5
∴ f(8) = 13.7 + 5
∴ f(8) = 18.7
→ To find f(1) subtract from each term the value of d
∵ f(5) = f(4) + d
∴ f(4) = f(5) - d
∴ f(4) = 3.7 - 5
∴ f(4) = -1.3
∵ f(3) = f(4) - 5
∴ f(3) = -1.3 - 5
∴ f(3) = -6.3
∵ f(2) = f(3) - 5
∴ f(2) = -6.3 - 5
∴ f(2) = -11.3
∵ f(1) = f(2) - 5
∴ f(1) = -11.3 - 5
∴ f(1) = -16.3
∴ Recursive Function Is: f(1) = -16.3; (fn) = f(n - 1) + 5
Answer:
<em> = n² + 4n ; n = 11 </em>
Step-by-step explanation:
= 
[2 
+ (n - 1)d]
~~~~~~~~~
= 5
d = 7 - 5 = 2
= [ 2(5) + 2(n - 1)] = ( 8 + 2n ) = 4n + n²
<em> = n² + 4n</em>
n² + 4n = 165
n² + 4n - 165 = 0
(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ <em>n = 11</em>
Answer: A, B, C
Step-by-step explanation:
Substituting into point-slope form, we get 
and 
. Rearranging this into slope-intercept form,
