An engineer designed a suspension bridge with three hanging cables, with the end of each cable attached to a tower. He defined cable AB by the function f(x) = 0.1(x+11)^2+5 The bridge has a clearance of 24ft above the water's surface. Knowing that the width of each tower is 2 ft, what is the height of each tower?
(Assume that the tower at point B is centered on the y-axis and that the cables are attached to the ends of the tower.)

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it’s supposed to be -4+45=41

step-by-step explanation:

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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