Perpendicular: y = -1/6x + 1
Answer:
<u>The series:</u>
This is an AP with the first term a₁ = 10 and common difference d = 6
a) <u>Recursive formula:</u>
b) <u>Explicit formula:</u>
- aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4
c) <u>n = 5 ⇒ a₅ = ?</u>
d) <u>S₁₇ = ?</u>
- Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2
- S₁₇ = 17(2*10 + 16*6)/2 = 986
Answer:
if f(x) = 3x+4, the rate of change is 4.
if f(x) = 2x+7, the rate of change is 2.
Step-by-step explanation:
We know that the average rate of change over the interval x=0 to x=8 is:
(f(x2) - f(x1))/x2-x1
Where:
x2 = 8
x1 = 0
if f(x) = 3x+4
so f(8)=3(8)+4 = 28
f(0)=3(0)+4 = 4
Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3
On the other hand, if f(x) = 2x+7
f(8) = 2(8)+7 = 23
f(0) = 2(0)+7 = 7
Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2