P(1) = P(0) [exp (rt)]
9,800 = 10,000 (0.98)^1
r = loge<span> (0.98) = ln (0.98) = -0.0202
</span>
<span>P(t) = P(0)[exp(-0.0202t)]</span>
Answer:
The graph approaches –3 as x approaches infinity. Option a is correct.
Step-by-step explanation:
The given function is

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

Taking x common from the denominator.

Cancel out common factor x.

Apply limits.



Therefore the graph approaches –3 as x approaches infinity.
Answer:
8/9
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Ordenered pairs g(x):
(0,0); (2,2); (- 2,2)
g(x) = ax² + bx + c
(0,0)
a.0² + b.0 + c = 0
c = 0
(2,2)
a.2² + b.2 + c = 2
4a + 2b = 2
(- 2,2)
a.(- 2)² + b.(- 2) + c = 2
4a - 2b = 2
4a + 2b = 4a - 2b
2b + 2b = 0
4b = 0
b = 0
4a + 2b = 2
4a = 2
a = 2/4
a = 1/2
g(x) = 1/2x² + 0x + 0
g(x) = 1/2x²
I hope I've helped you.