True or false? If P(n) is a summation formula for the sigma sum LaTeX: \sum_{k=0}^n f(k) =S(n)∑ k = 0 n f ( k ) = S ( n ) , where S(n) represents the sum in closed form, we prove the statement P(n+1) from P(n) by taking the statement P(n) and adding f(n+1) to both sides. Then we simplify S(n)+f(n+1) algebraically to show that it is S(n+1).

True

Step-by-step explanation:

Based on the expression provided in the question, it can be the statement P(n+1) can be derived from the statement P(n) by the addition of f(n+1) to both sides of the statement P(n). Furthermore, the expression S(n)+f(n+1) can be simplified algebraically to derive an expression S(n+1). Therefore, the above sentence is true.

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

~

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: