Two opposing players in “capture the flag” are 100 feet apart. on a signal, they
run to capture a flag that is on the ground midway between them. the faster
runner, however, hesitates for 0.1 second. find parametric equations that model
the race to the flag. the faster runner’s speed is 10 fps and the other runner is 9
fps.
a. simulate the game in a viewing window with t starting at 0. graph
simultaneously.
b. who captures the flag and by how many feet?

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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