To determine which functions depict the arithmetic sequence 8, 1.5, -5, -11.5,... follow these steps:
<span>f(n) = –6.5n + 14.5... correct
f(1) = 8
f(2) = 1.5
f(3) = -5
f(4) = -11.5
f(n) = –1.5n + 9.5... incorrect
f(1) = 8
f(2) = 6.5
f(n) = 6.5n + 1.5... incorrect
f(1) = 8
f(2) = 14.5
f(1) = 8, f(n + 1) = f(n) – 6.5... correct
f(2) = 8 - 6.5 = 1.5
f(3) = 1.5 - 6.5 = -5
f(4) = -5 - 6.5 = -11.5
f(1) = 8, f(n + 1) = f(n) – 1.5... incorrect
f(2) = 8 - 1.5 = 6.5
f(1) = 8, f(n + 1) = f(n) + 6.5... incorrect
f(2) = 8 + 6.5 = 14.5
The valid functions are:
</span>f(n) = –6.5n + 14.5 and f(1) = 8, f(n + 1) = f(n) – 6.5.
Answer: the factored form is (4x+8)(x-9)
Step-by-step explanation:
s/18=64/288, multiply both sides by 18 yields s=1152/288, thus s=4 ft. Therefore, Sarah's height is four feet.
Answer:
The parametrization of the specified curve is 
Step-by-step explanation:
From the provided problem statement, we derive the function
When y = 5
Converting the above to a polar equation yields
