Find a power series representation for the function. (give your power series representation centered at x = 0.) f(x) = ln(5 − x) f(x) = ln(5) − ∞ n = 1 determine the radius of convergence, r. r =

If , then

and so on, following the general pattern

Then the power series for centered at is

The power series converges by the ratio test for

or , so that the radius of convergence is 5.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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