The -th term in the series is evidently
By the ratio test, the infinite series converges, since
Answer:
x^2 -2
Step-by-step explanation:
f(x) = x^2 -3
g(x) = x+1
Put f(x) in for x in the function g(x)
g(f(x)) = f(x) +1 = x^2 -3+1 = x^2 -2
F(x) = one fourth to the power of x-2 f(x) = (1/4)^(x-2)
It is a decreasing function that when x= 2, (1/4) is raised to the zero power which is 1, which is what the point (2,1) asks for.
Answer:
52.61
Step-by-step explanation:
First let turn 9.6% into a decimal
0.096
Then,
48 x 0.096 = 4.608 {Round} 4.61
48 + 4.61=52.61
The unknown angles are in a ratio of 7 to 13.
Let 7x represent the smaller measure.Then, 13x represents the larger measure.
7x + 13x + 140 = 180
20x + 140 = 180
20x = 40
x = 2
7x = 7 * 2 = 14
13x = 13 * 2 = 26
The measures are 14 degree and 26 degrees.